Massless Black Holes and Conifolds in String Theory

Andrew Strominger

REVIEW

Massless Black Holes and Conifolds in String Theory

Andrew Strominger

High Energy Physics - Theory · Submitted 18 Apr 1995 · 34 references

Pith's verdict: The core argument is sounder than its own abstract admits — the §4.2 'assumption' is really a derivation from the Picard-Lefschetz monodromy, and the paper undersells it.

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arXiv IDhep-th/9504090 (version 1)

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CitationAndrew Strominger. "Massless Black Holes and Conifolds in String Theory." arXiv:hep-th/9504090 (1995). https://pith.science/paper/S2IQWDAR

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Referee report

Significance

If the picture holds, this is a landmark result: it identifies a generic classical inconsistency of Calabi-Yau string compactifications and shows how a nonperturbative, gs-independent effect cures it. The paper's strengths are real and should be named. The coefficient match between the one-loop beta function and the Picard-Lefschetz monodromy is a parameter-free quantitative check, not a fit. The prediction that a specific BPS state becomes massless at a specific geometric locus is falsifiable within the moduli-space geometry. The gs-scaling argument is explicit and tied to the structure of RR couplings, and the analogy with Seiberg-Witten N=2 Yang-Mills is drawn carefully rather than asserted. The paper also anticipates, correctly, that extremal black holes must be treated as elementary quanta in the quantum theory. The main caveat is that the central claim is conditional on the Section 4.2 degeneracy postulate, which the authors state openly in the abstract ('given a plausible assumption') and in Section 4.2 ('We do not know how to derive our assumption from first principles'). That acknowledgement should be weighed in favor of the manuscript, not against it.

Major objections (3)

[Section 4.2, Eqs. (2.4) and (4.1)] The coefficient match between the one-loop result (4.1) and the monodromy (2.4) is presented as support for the single-hypermultiplet assumption, but as written the match follows from that assumption: the beta-function coefficient is fixed by the assumed light spectrum. The paper can remove the appearance of circularity by noting that the Picard-Lefschetz monodromy (2.3), F1 -> F1 + Z1, is a geometric theorem for a simple conifold and independently fixes the one-loop coefficient to 1. Since a charge-q hypermultiplet contributes q^2, the integer constraint sum_i q_i^2 = 1 forces the light spectrum to be exactly one charge-(+/-1) multiplet for a simple degeneration. This converts the Section 4.2 assumption into a derivation in the case actually treated and strengthens the paper's central claim; it should be stated explicitly.
[Section 4.2] The cited counterexamples are acknowledged but not rebutted. Reference [11] (Witten's IIA/11d correspondence) is said to 'seem to require an infinite tower of distinct multiply-charged states', and references [27,28] (Dabholkar-Harvey) are said to contain a charge-two 'bound state at threshold'. The paper should state why these do not apply here: for instance, that the Dabholkar-Harvey charge-two object is a multi-particle state rather than a distinct elementary quantum, and that the IIA/11d tower concerns a different regime or a different notion of state. As written, the reader is left with the impression that the load-bearing assumption is in tension with published results, which weakens the paper more than the assumption itself does.
[Section 3.1, Eq. (3.8) and Section 4.1] The BPS mass formula (3.8) carries an explicit factor g5, yet Section 4.1 argues that the black hole physics is gs-independent. The two statements are consistent only if the g5 in (3.8) is a string-frame artifact absorbed by the e^{-2 phi} rescaling to the Einstein frame of (4.3), but the paper does not say this. It should state explicitly that the physical mass and the loop effects are gs-independent in the rescaled variables, so that the g5 in (3.8) and the gs-independence claimed in Section 4.1 do not appear to contradict each other. This is load-bearing because the gs-independence of the resolution is one of the paper's three headline conclusions.

Minor objections (8)

[Title and throughout] There are numerous typographical errors that should be corrected: the title reads 'STRIN G THEOR Y'; 'rescaping' should be 'rescaling'; 'Accordnig' should be 'According'; 'intergrating' should be 'integrating'; 'Quantiztion' should be 'Quantization'; 'Bogolmonyi' should be 'Bogomol'nyi'; 'mondromy' should be 'monodromy'; 'willl' should be 'will'; 'D abohlkar' should be 'Dabholkar'; 'a a sigma model' should be 'a sigma model'; 'the a rea' should be 'the area'; and 'proportional the a rea' should be 'proportional to the area'.
[Eq. (2.1)] The range of the index is typeset as 'I, J = 1, .. 12 b3', which appears to be a corruption of 'I, J = 1, ..., (1/2) b3'. This should be corrected so the dimension of the basis is unambiguous.
[Eq. (3.5)] The BPS mass relation is written as 'Mass = Q x (3 - volume)', which is garbled. The intended statement (mass proportional to the brane volume times the charge) should be written out explicitly, since the heuristic identification of mass with wrapped-brane area is used immediately below to argue that the mass vanishes at the conifold.
[References [3] and [4]] References [3] and [4] are given identical journal citations, 'Nucl. Phys. B42 (1990) 246'. One of these is presumably wrong, and 'B42' is not a plausible Nucl. Phys. B volume number. Reference [5] (Aspinwall, Greene, Morrison) is missing a journal name and gives only 'B416 (1994) 414'. These should be checked against the published versions.
[Section 2] The statement that a Calabi-Yau space 'has b3 topologically non-trivial three-surfaces' is loose; b3 is the third Betti number, and the number of independent three-cycles is b3 (or b3/2 in a symplectic basis). A precise phrasing would help readers who are not special-geometry specialists.
[Section 3.2] The IIA case is dismissed with the remark that 'the analysis of the black hole solutions reduces to that considered above' by mirror symmetry. Since the paper itself emphasizes that the IIA physical picture is different (instanton-corrected areas), a sentence spelling out what is and is not carried over by mirror symmetry would be useful.
[Appendix A] The appendix concludes that V ~ V0 + w1^2 / ln(Z1 Zbar1) 'has a sharp minimum at Z1 = 0'. Since 1/ln(Z1 Zbar1) tends to zero as Z1 tends to zero, the correction vanishes at the conifold and the potential approaches V0; the 'sharpness' comes from the diverging gradient, not from a diverging value. A clarifying sentence would prevent misreading. The appendix's own caveat that perturbative corrections could alter the geometry is appropriate and should be retained.
[Abstract and Section 4.2] The paper does acknowledge its central limitation: the abstract says 'given a plausible assumption on the degeneracies of black hole states', and Section 4.2 says 'We do not know how to derive our assumption from first principles'. This is the right way to present a conditional result, and it should be preserved in revision rather than softened.

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The paper

The paper claims

The conifold singularities that make Calabi-Yau string compactifications ill-defined at low energies may be cured by Ramond-Ramond black holes that become massless exactly where the geometry degenerates.

The reading

Compactify a type II string on a Calabi-Yau space and the space of shapes (the moduli space) typically contains conifold points, where a two- or three-cycle shrinks to zero size, the moduli-space metric diverges, and the low-energy $\sigma$ model breaks down. Strominger argues that this breakdown is not a failure of string theory but a failure of the effective field theory that kept only the moduli: a brane wrapped on the shrinking cycle is an extremal Ramond-Ramond black hole whose mass is proportional to the cycle's area, so it goes massless at the conifold and must be kept in the Wilsonian action. Keeping it makes the action smooth there, and integrating it back out reproduces the logarithmic singularity of special geometry, $F_1(Z_1) = F_1(0) + (1/2i)Z_1$ up to a factor, matching the classical monodromy. The reason such a quantum effect can repair a classical inconsistency is that Ramond-Ramond couplings do not carry a uniform factor of $e^{-2}$ of the dilaton, and $N=2$ supersymmetry forbids neutral couplings between vector multiplets and hypermultiplets, so the light black hole loops carry no powers of the string coupling $g_s$. If the picture holds, string theory is telling us that extremal black holes must be treated as elementary quanta in virtual loops.

What carries the argument

The load-bearing object is the wrapped extremal brane: a type IIB threebrane (or, by mirror symmetry, a type IIA twobrane) wrapped on a cycle of the Calabi-Yau, which appears in four dimensions as a charged black hole whose BPS mass is $M = g_5 e^{K/2}|Z_1|$ and which therefore becomes massless at the conifold. The second piece of machinery is special geometry: the periods $Z_I$ and $F_I$ of the holomorphic three-form, the monodromy $F_1 = F_1 + Z_1$ around the conifold, and the resulting $F_1(Z_1) = F_1(0) + (1/2i)Z_1$ behaviour up to a factor, which fixes the metric through $G_{I} = _I _J K$ with $K = - (i F^I _I - i Z^I F_I)$. The two are joined by a one-loop computation in the light-hypermultiplet effective theory: the $\beta$ function of the gauge field in the same multiplet as $Z_1$ reproduces the coefficient of the logarithm, so the classical singularity is exactly what integrating out a massless charged state produces.

Extended reading notes

Core claim

The paper's central claim is that for type II string theories the conifold singularities of the Calabi-Yau moduli space are resolved by a single light Ramond-Ramond black hole hypermultiplet rather than by new classical geometry. The BPS mass formula $M = g_5 e^{K/2}|m_I F^I - n^I Z_I|$ gives, for the state with $n^1 = 1$ and all other charges zero, $M = g_5 e^{K/2}|Z_1|$, which vanishes at the conifold $Z_1 = 0$ because the wrapped brane's mass is set by the area of the shrinking cycle. The Wilsonian effective action that includes this charged hypermultiplet is smooth near $Z_1 = 0$; the singularity appears only after the state is integrated out, where its one-loop contribution to the gauge coupling reproduces the special-geometry behaviour $F_1(Z_1) = F_1(0) + (1/2i)Z_1$ up to a factor, matching the classical monodromy. Strominger further argues that the effect survives as $g_s$ goes to zero, because the relevant couplings of Ramond-Ramond gauge fields to the dilaton do not come with a uniform $1/g_s^2$ and because $N=2$ supersymmetry forbids neutral vector-hypermultiplet couplings, so the black hole loops are $g_s$-independent.

Load-bearing premise

The argument needs exactly one supermultiplet to become massless at the conifold, and it needs states of charge two and higher to be collections of charge-one particles rather than separate single-particle states; the paper states this as an assumption and offers only plausibility arguments for it.

Editorial extensions

If this is right

Low-energy effective field theories of Calabi-Yau compactifications are incomplete without nonperturbative states, so the classical moduli space is not the right setting for cosmology that rolls through a conifold.
Extremal black holes must be counted as elementary quanta contributing to virtual loops, fixed by their mass and charge rather than by any independent coupling.
String theory admits quantum effects that are not suppressed as $g_s$ tends to zero, because Ramond-Ramond field strengths enter the classical action without a uniform dilaton factor.
Conifold and orbifold singularities are resolved by the same mechanism in spirit: light solitons supply the states the low-energy theory is missing, with spin one-half giving conifolds and spin one giving orbifolds.
For type IIA the resolution is tied to worldsheet instantons, suggesting that in a dual formulation where fundamental strings are solitons the same singularity would look like an ordinary spacetime instanton effect.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the resolution is right, the number of light states at a conifold is a consistency condition on the theory rather than an accident, which suggests that conifold points could be used to count BPS states of a Calabi-Yau without doing the hard semiclassical black hole counting directly.
The argument that $N=2$ forbids neutral vector-hypermultiplet couplings does double duty: it explains the $g_s$ independence here and it underwrites a nonrenormalization statement for the moduli metric, so a failure of the resolution would also threaten that nonrenormalization claim.
The charge-two question is the sharpest handle: a single-particle charge-two state at the conifold would shift the one-loop coefficient and break the match with the monodromy, so any independent count of wrapped-brane bound states at threshold is a direct test of the picture.
The paper leaves heterotic conifolds unexplained, which suggests the mechanism is tied to Ramond-Ramond charges specifically; whether an analogous light state exists for heterotic compactifications is the natural next question.

Original abstract

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes. The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out. In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$. It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,386 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.13 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space. It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes. The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out. In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$. It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space.	background 1.00	0.09	0.04	asserted 0.95
s1	It is shown, given a plausible assumption on the degeneracies of black hole states, that for type II theories this inconsistency can be cured by nonperturbative quantum effects: the singularities are resolved by the appearance of massless Ramond-Ramond black holes.	result 0.91	0.90	0.85	asserted 0.96
s2	The Wilsonian effective action including these light black holes is smooth near the conifold, and the singularity is reproduced when they are integrated out.	result 0.96	0.80	0.21	asserted 1.00
s3	In order for a quantum effect to cure a classical inconsistency, it can not be suppressed by the usual string coupling $g_s$.	background 0.56	0.22	0.07	asserted 0.95
s4	It is shown how the required $g_s$ dependence arises as a result of the peculiar couplings of Ramond-Ramond gauge fields to the dilaton.	contribution 0.41	0.86	0.09	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.89.

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References

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Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary
hep-th 2013-08 conditional novelty 7.0 of 10

The hemisphere partition function of 2d (2,2) gauged linear sigma models equals the D-brane central charge, given by an explicit Mellin-Barnes integral whose convergence yields the grade restriction rule.
Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes
hep-th 2012-03 accept novelty 7.0 of 10

For M-theory on a Calabi-Yau fourfold, conifold transitions survive background G-flux precisely when the canonical bundle of the singular curve splits into two line bundles, and a new class of mixed horizontal/vertica...
Symmetries of K3 sigma models
hep-th 2011-06 accept novelty 7.0 of 10

Supersymmetry-preserving symmetries of any K3 non-linear sigma model form a subgroup of the Conway group Co_1, generalizing the Mukai-Kondo theorem from K3 geometry to string theory.
Direct Integration of the Topological String
hep-th 2007-02 conditional novelty 7.0 of 10

A direct-integration method solves the holomorphic anomaly equations for topological string amplitudes more efficiently than Feynman graph expansion, yielding closed results up to genus six on the Enriques Calabi-Yau ...
Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
hep-th 2006-12 conditional novelty 7.0 of 10

Boundary conditions from the conifold gap, orbifold regularity, and Castelnuovo bounds fix the holomorphic ambiguity of the topological string on one-parameter compact Calabi-Yau spaces, yielding high-genus amplitudes...
Non-Spherical Horizons, I
hep-th 1998-10 accept novelty 7.0 of 10

Branes at a singular point of the transverse space are dual to M or IIB theory on AdS times a non-spherical horizon fixed by the singularity, and the dual field theories can be derived explicitly for orbifold, conifol...
K-theory and Ramond-Ramond charge
hep-th 1997-10 conditional novelty 7.0 of 10

D-brane Ramond-Ramond charge equals the Chern character of a K-theoretic push-forward of the Chan-Paton bundle, divided by the square root of the A-roof genus of spacetime.
N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
hep-th 1996-05 accept novelty 7.0 of 10

The paper derives the complete N=2 supergravity lagrangian and supersymmetry transformation rules on general special-Kaehler and quaternionic manifolds with generic gauging, in a manifestly symplectic-covariant form t...
Self-Dual Strings and N=2 Supersymmetric Field Theory
hep-th 1996-04 conditional novelty 7.0 of 10

The Seiberg-Witten Riemann surface of N=2 Yang-Mills theory arises as the surface of vanishing two-cycles in a fibration of ALE spaces in type II string compactification, and stable BPS states correspond to geodesics ...
Algebras, BPS States, and Strings
hep-th 1995-10 conditional novelty 7.0 of 10

Threshold corrections in N=2 heterotic string compactifications are sums of logarithms over the positive roots of generalized Kac-Moody algebras, with the BPS spectrum supplying the root multiplicities.
An SL(2,Z) Multiplet of Type IIB Superstrings
hep-th 1995-08 accept novelty 7.0 of 10

Type IIB supergravity contains an SL(2,Z) multiplet of string solutions whose tensions are fixed by integer charges, and compactifying on a circle matches eleven-dimensional supergravity on a torus with the IIB modulu...
EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
hep-th 1995-04 conditional novelty 7.0 of 10

A stretched-horizon modification of extremal black hole entropy reproduces the parametric dependence of the log degeneracy of Bogomol'nyi-saturated string states, up to one constant fixed by matching.
A class of half-BPS boundary conditions for $A_{K-1}$ circular quivers
hep-th 2026-06 unverdicted novelty 6.0 of 10

Characterizes solutions to BPS equations for D4-branes ending on boundary D6-branes in A_{K-1} circular quivers, finding a winding phenomenon absent in linear quivers and proposing the maximal-winding case as S-dual t...
Bordisms between 9d type IIB supergravities and commutator widths of duality groups
hep-th 2026-05 unverdicted novelty 6.0 of 10

Proposes a refinement of the Swampland Cobordism Conjecture for Ω1(BG) with duality bundle G, where diverging commutator width of G requires infinitely many duality defects to realize monodromies via gravitational solitons.
Decorating Asymptotically Flat Space-Time with the Moduli Space of String Theory
hep-th 2025-06 conditional novelty 6.0 of 10

A classical solution construction is proposed that places any chosen moduli-space point B inside an arbitrarily large, nearly flat region of an asymptotically flat string compactification that approaches any other poi...
Search for NS 3-form Flux Induced Vacua for the Critical Non-Abelian Vortex String
hep-th 2025-01 conditional novelty 6.0 of 10

NS 3-form flux on the conifold generates a potential for the baryonic modulus b whose only vacuum is a runaway to infinity, degenerating the conifold.
Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
hep-th 2024-10 unverdicted novelty 6.0 of 10

Morse-Bott inequalities yield homology bounds and topology-change counts for generic cobordisms to nothing in string theory compactifications.
A Gravitino Distance Conjecture
hep-th 2021-04 conditional novelty 6.0 of 10

Vanishing gravitino mass sits at infinite distance in moduli space, forcing a tower of states with mass scaling as m_{3/2}^delta where delta is bounded below by 1/3 for Calabi-Yau threefolds and 1/4 for fourfolds.
Conifold Vacua with Small Flux Superpotential
hep-th 2020-09 accept novelty 6.0 of 10

Flux vacua of type IIB string theory are constructed in which the flux superpotential is as small as 7.4e-9 and a complex structure modulus is stabilized exponentially near a conifold point, yielding a warped throat w...
Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
hep-th 2020-04 conditional novelty 6.0 of 10

Unitarity of the two-dimensional worldsheet theory on magnetic monopole strings yields candidate Swampland constraints on five-dimensional supergravity, expressible as inequalities on Chern-Simons levels and, geometri...
Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields
hep-th 2019-04 accept novelty 6.0 of 10

In certain infinite-distance limits of Type IIB on K3, the emergent tensionless string is a dual fundamental Type IIB string, so the theory reproduces itself in a new duality frame.
Instantons and infinite distances
hep-th 2019-04 conditional novelty 6.0 of 10

Summing towers of D-instanton corrections along a large-volume, strong-coupling trajectory in the type IIB hypermultiplet moduli space turns a classically infinite geodesic distance into a finite one.
Swampland Variations on a Theme by KKLT
hep-th 2019-02 conditional novelty 6.0 of 10

Stabilizing the conifold modulus dynamically generates the tiny superpotential KKLT assumes, and the resulting AdS and dS minima survive, but a finite tower of redshifted Kaluza-Klein modes sits below the conifold modulus.
Tensionless Strings and the Weak Gravity Conjecture
hep-th 2018-08 conditional novelty 6.0 of 10

A gauge coupling taken to zero at fixed Planck mass sits at infinite distance in moduli space, where a critical heterotic string becomes tensionless and its charged excitations populate a sublattice that satisfies the...
The Weak Gravity Conjecture and Emergence from an Ultraviolet Cutoff
hep-th 2017-12 accept novelty 6.0 of 10

If a gauge theory's charged spectrum saturates the sublattice Weak Gravity Conjecture, its strong-coupling scale and the scale where gravity becomes strong coincide, and conversely strong gauge coupling at or below th...
Weak Gravity Conjecture and Extremal Black Holes
hep-th 2016-11 conditional novelty 6.0 of 10

One-loop charged-particle corrections to extremal black holes give entropy shifts that vanish in N=4 supergravity, and a fermion spectral-density pole is read as evidence for the magnetic Weak Gravity Conjecture cutoff.
On Discrete Symmetries and Torsion Homology in F-Theory
hep-th 2014-10 accept novelty 6.0 of 10

F-theory on a genus-one fibration without a section yields a Z2 symmetry only in the decompactification limit and carries no torsion, while its Jacobian fibration yields a genuine five-dimensional Z2 with explicit tor...
Yukawas and discrete symmetries in F-theory compactifications without section
hep-th 2014-08 conditional novelty 6.0 of 10

F-theory on a genus-one fibration without a section yields a discrete Z2 symmetry, a remnant of a geometrically massive U(1), that forbids the 10x10x5 Yukawa coupling in an explicit SU(5) GUT model.
Physics of F-theory compactifications without section
hep-th 2014-06 conditional novelty 6.0 of 10

F-theory on genus-one fibrations without a section yields a six-dimensional U(1) made massive by a geometric Stueckelberg mechanism, and a fluxed circle reduction reproduces the M-theory Chern-Simons terms of the defo...
$A_n$-Triality
hep-th 2014-03 conditional novelty 6.0 of 10

The authors prove that the partition function of a five-dimensional quiver gauge theory equals that of its vortex theory, which in turn equals a q-deformed A_n Toda conformal block, establishing the A_n triality for g...
Direct integration for general Omega backgrounds
hep-th 2010-09 conditional novelty 6.0 of 10

A generalized holomorphic anomaly equation plus a conifold gap condition is shown sufficient to compute refined topological string amplitudes on several non-compact Calabi-Yau spaces, matching independent refined-vert...
Axion Inflation in Type II String Theory
hep-th 2007-10 conditional novelty 6.0 of 10

Axions from vanishing two-cycles in type IIB compactifications can have near-Planckian decay constants after string world-sheet corrections, potentially enabling multi-field inflation with tensor-to-scalar ratio up to 0.14.
Entropy Maximization in the Presence of Higher-Curvature Interactions
hep-th 2006-03 conditional novelty 6.0 of 10

Higher-curvature corrections preserve and enhance entropy maxima at conifold-type singularities for real topological string coupling, but destroy them for complex coupling.
Beauty is Attractive: Moduli Trapping at Enhanced Symmetry Points
hep-th 2004-03 conditional novelty 6.0 of 10

Quantum particle production creates a linear confining force that traps rolling moduli at points of enhanced symmetry, and the same effect can drive a short burst of cosmic acceleration.
Inside the Horizon with AdS/CFT
hep-th 2002-12 conditional novelty 6.0 of 10

Analytic continuation of Euclidean AdS/CFT amplitudes in Kruskal coordinates yields finite Lorentzian BTZ correlators whose would-be singularities cancel between the past and future Milne singularities.
Generalized Green-Schwarz mechanism in F theory
hep-th 1996-06 accept novelty 6.0 of 10

The anomaly eight-form of six-dimensional F-theory gauge theories factorizes into a square of geometric data on the base surface, fixing matter multiplicities from intersection numbers.
Towards Wedge Construction of Four-Dimensional Non-Supersymmetric Theories and Torsion Classes
hep-th 2026-05 unverdicted novelty 5.0 of 10

Proposes G2 torsion classes as a characterization tool for torsion and supersymmetry breaking in M-theory on deformed K3 fibrations, leading to non-supersymmetric 4D theories via reductions to Type 0A and heterotic strings.
The Emergence Proposal in Quantum Gravity and the Species Scale
hep-th 2022-12 conditional novelty 5.0 of 10

One-loop sums over towers of light states, cut off at the species scale, reproduce the field dependence of moduli metrics, gauge kinetic functions, and flux potentials in several string vacua.
Finiteness and the Swampland
hep-th 2021-10 conditional novelty 5.0 of 10

Finiteness of black hole entropy and of quantum gravity amplitudes is argued to imply the Weak Gravity Conjecture, the Distance Conjecture, and a finite number of consistent vacua.
Chern-Weil Global Symmetries and How Quantum Gravity Avoids Them
hep-th 2020-11 accept novelty 5.0 of 10

Products of gauge field strengths generate global symmetries that quantum gravity cannot allow, and the need to break or gauge them explains axions, Chern-Simons terms, and brane dissolution in string theory.

See all 73 Pith citations

How later papers used it

133 later papers cite it

Evidence: substantial. 133 of the citing papers share no author with it, and 8 of those carry a confident label from Pith's citation classifier.

Pith read 24 of the 173 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

1 later paper by other authors is listed below: 1 used its method or tool.

Uses its method or tool 1 of 2 papers with this label

The basic strategy is to relate such manifolds to elliptic Calabi-Yau manifolds via conifold type transitions [ref] .

Black Hole Entropy for M-theory on the Quintic Threefold via F-theoretic Strings (2024) · Introduction · 0.86

How the literature uses it

125 arXiv papers cite this in 165 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 118 sentences without a confident label

Uses its method or tool 2 papers

[ref] we analyze the Higgs and Coulomb branches of the $𝒩=2$ gauge theory sectors to realize transitions in the building blocks of twisted connected sum $G_2$-manifolds.

Effective action from M-theory on twisted connected sum $G_2$-manifolds · Introduction · 0.80
The basic strategy is to relate such manifolds to elliptic Calabi-Yau manifolds via conifold type transitions [ref] .

Black Hole Entropy for M-theory on the Quintic Threefold via F-theoretic Strings · Introduction · 0.86

Compares with it 3 papers

Note that unlike other finite-distance singularities such as the conifold [ref] (where a single state becomes massless), this would come accompanied by an infinite tower of light modes, which goes against expectations coming from the Emergence Proposal [ref] .

Alice in Warpland: KK modes, Warped Compactifications and the Swampland · Scaling solutions · 0.80
The present work renders support to the emergence idea and the fact that infinite distance singularities may arise in QG as a purely IR phenomenon, in close analogy to the finite distance singularity of the conifold [ref] .

The Emergence Proposal in Quantum Gravity and the Species Scale · Introduction · 0.92
In (an imprecise) sense our proposal is close in spirit to the well-established Strominger–Vafa construction [ref] where the black hole in string theory (in the weakly coupled regime) is modeled as a bound state of D-branes (recall that D-branes are solitonic states in string theory).

Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence · Comparison with other approaches · 1.00

Cites it as support 1 paper

This means that the corresponding perturbative superconformal field theory cannot describe correctly all massless degrees of freedom of the theory, and hence the non-linear $σ$-model is expected to be inconsistent [ref] .

Symmetries of K3 sigma models · Classification of the Groups of Symmetries · 0.96

Cites it as background 37 papers

In particular, understanding the transition between the resolved and the deformed conifold was very important [ref] .

The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory · Introduction · 0.94
Zero mass black holes called a lot of attention after Strominger proposed that they were needed to explain the conifold singularities in the low energy theory describing the moduli space of Calabi-Yau vacua of type II string theory [ref] .

Massless black holes and charged wormholes in string theory · Introduction · 0.93
Near a conifold point of the moduli space, where a cycle collapses and the threefold acquires an ordinary double point, physics predicts one universal local model for all of these free energies at once: a single BPS state, realized by a brane wrapping the vanishing cycle, becomes massless there [ref] , and its contribution is that of the $c=1$ string at the self-dual radius [ref] .

Conifold Gap Theorem for Topological Recursion · Background · 0.90

Discussion

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