3-branes on resolved conifold

A.A. Tseytlin; L.A. Pando Zayas

RECORD

3-branes on resolved conifold

L.A. Pando Zayas, A.A. Tseytlin

High Energy Physics - Theory · Submitted 11 Oct 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The solution in the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

The paper's own sentences, arranged. 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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,191 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.92 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.96 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; show every role.

The type IIB supergravity solution describing a collection of regular and fractional D3 branes on the conifold (hep-th/0002159) was recently generalized to the case of the deformed conifold (hep-th/0007191). Here we present another generalization -- when the conifold is replaced by the resolved conifold. This solution can be found in two different ways: (i) by first explicitly constructing the Ricci-flat Kahler metric on resolved conifold and then solving the supergravity equations for the D3-brane ansatz with constant dilaton and (self-dual) 3-form fluxes; (ii) by generalizing the ``conifold'' ansatz of hep-th/0002159 in a natural ``asymmetric'' way so that the 1-d action describing radial evolution still admits a superpotential and then solving the resulting 1-st order system. The superpotentials for the ``resolved'' and ``deformed'' conifold cases turn out to have essentially the same simple structure. The solution in the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR. The naked singularity is of repulson type and may have a brane resolution.

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	The type IIB supergravity solution describing a collection of regular and fractional D3 branes on the conifold (hep-th/0002159) was recently generalized to the case of the deformed conifold (hep-th/0007191).	background 1.00	0.05	0.04	asserted 1.00
s1	Here we present another generalization -- when the conifold is replaced by the resolved conifold.	contribution 1.00	0.87	0.15	asserted 0.98
s2	This solution can be found in two different ways: (i) by first explicitly constructing the Ricci-flat Kahler metric on resolved conifold and then solving the supergravity equations for the D3-brane ansatz with constant dilaton and (self-dual) 3-form fluxes; (ii) by generalizing the ``conifold'' ansatz of hep-th/0002159 in a natural ``asymmetric'' way so that the 1-d action describing radial evolution still admits a superpotential and then solving the resulting 1-st order system.	method 0.97	0.86	0.11	asserted 1.00
s3	The superpotentials for the ``resolved'' and ``deformed'' conifold cases turn out to have essentially the same simple structure.	result 0.99	0.88	0.16	asserted 1.00
s4	The solution in the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR.	result 0.98	0.86	0.30	asserted 1.00
s5	The naked singularity is of repulson type and may have a brane resolution.	interpretation 0.64	0.73	0.21	hedged possibility 0.93

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

What was examined, and what was not

sources read

arXiv listing abstract v3

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The type IIB supergravity solution describing a collection of regular and fractional D3 branes on the conifold (hep-th/0002159) was recently generalized to the case of the deformed conifold (hep-th/0007191). Here we present another generalization -- when the conifold is replaced by the resolved conifold. This solution can be found in two different ways: (i) by first explicitly constructing the Ricci-flat Kahler metric on resolved conifold and then solving the supergravity equations for the D3-brane ansatz with constant dilaton and (self-dual) 3-form fluxes; (ii) by generalizing the ``conifold'' ansatz of hep-th/0002159 in a natural ``asymmetric'' way so that the 1-d action describing radial evolution still admits a superpotential and then solving the resulting 1-st order system. The superpotentials for the ``resolved'' and ``deformed'' conifold cases turn out to have essentially the same simple structure. The solution in the resolved conifold case has the same asymptotic UV behaviour as in the conifold case, but unlike the deformed conifold case is still singular in the IR. The naked singularity is of repulson type and may have a brane resolution.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Ricci-flat metrics from gauged linear $\sigma$-models without RG flow
hep-th 2026-08 conditional novelty 7.0 of 10

Explicit Ricci-flat Kähler metrics on cones over products of projective spaces are built from gauged linear sigma models whose 'shadow' fields carry negative-signature kinetic terms.
Covariant unification of holographic c-functions
hep-th 2026-05 unverdicted novelty 7.0 of 10

A new covariant c-function is defined from extrinsic curvature of codimension-two bulk slices, unifying prior foliation-based definitions and exhibiting expected monotonic behavior in conformal, confining, and mixed-g...
Index and localization for type B superconformal mechanics on singular spaces
hep-th 2024-12 conditional novelty 7.0 of 10

A localization method for type B superconformal indices on singular spaces is proposed, with a self-adjointness caveat that can make the index ambiguous.
On the moduli space of semilocal strings and lumps
hep-th 2007-04 accept novelty 7.0 of 10

The k-vortex moduli spaces of U(Nc) and U(Nf-Nc) gauge theories with Nf flavors are two regularizations of a single non-Hausdorff quotient, and both collapse to the same Grassmannian lump moduli space at infinite gaug...
A supersymmetric consistent truncation for conifold solutions
hep-th 2010-08 accept novelty 6.0 of 10

A symmetry-preserving reduction of type IIB string theory on T^{1,1} yields a five-dimensional gauged N=4 supergravity with three vector multiplets, plus a new family of non-supersymmetric anti-de Sitter solutions.

Show 6 more citing papers

Oscillations in the CMB from Axion Monodromy Inflation
hep-th 2009-07 conditional novelty 6.0 of 10

Axion monodromy inflation produces a sinusoidally modulated scalar power spectrum whose amplitude and frequency can be bounded by CMB data, and detectable modulations arise in consistent string compactifications.
Central Extensions of Finite Heisenberg Groups in Cascading Quiver Gauge Theories
hep-th 2006-03 conditional novelty 6.0 of 10

Cascading quiver gauge theories admit a central extension of the finite Heisenberg group generated by symmetries A, B, C, D with relations AB = BAC and AC = CAD.
Proton Decay, Yukawa Couplings and Underlying Gauge Symmetry in String Theory
hep-th 2006-02 conditional novelty 6.0 of 10

Under the assumptions that all quark and lepton Yukawa couplings come from the super Yang-Mills interactions of an underlying symmetry G and that matter and Higgs fields have different origins in the coset G/SU(5), th...
Fat Inflatons, Large Turns and the $\eta$-problem
hep-th 2019-08 conditional novelty 5.0 of 10

Heavy scalar fields can still drive slow-roll inflation if the trajectory turns rapidly, evading the eta-problem; a D5-brane in a warped throat provides a concrete realization.
The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory
hep-th 2009-06 conditional novelty 5.0 of 10

A single family of supergravity solutions connects the deformed conifold with flux to the resolved conifold with wrapped fivebranes, and the baryonic-branch vacuum expectation values of the Klebanov-Strassler theory a...
Aspects of Twistor Geometry and Supersymmetric Field Theories within Superstring Theory
hep-th 2006-03 conditional novelty 4.0 of 10

A doctoral thesis compiling and extending results on non-anticommutative field theory and twistor geometry, establishing Penrose-Ward correspondences and matrix-model equivalences with ADHM and Nahm equations.

How the literature uses it

51 arXiv papers cite this in 134 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 · 84 sentences without a confident label

Contests it 3 papers

(4.3) of [ref] , concerning the sign of $F_3$.] [equation] and the self–dual 5–form flux is given by [equation] where [equation] and where P is proportional to the number of fractional D3-branes $M$ and Q proportional to the number of regular D3-branes[Different notations have been used to represented the number of branes.

Towards New Classes of Flux Compactifications · The Pando Zayas-Tseytlin Solution · contest 0.74
(4.3) in [ref] , concerning the sign of $F_3$.] [equation] and the self–dual 5–form flux is given by [equation] where [equation] and where P is proportional to the number of fractional D3-branes and Q proportional to the number of regular D3-branes, and both are proportional to $α^'$.

D-terms on the resolved conifold · The warped resolved conifold with fluxes · contest 0.87
We can, however, not use the metric for D5 branes wrapping the $S^2$ of a resolved conifold as derived in [ref] , because it breaks all supersymmetry [ref] .

Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Geometric transition and supersymmetric solution · contest 0.86

Builds on it 2 papers

A generalization of the KT solution, where fractional and regular D3-branes were placed on the conifold [ref] , was considered in [ref] by placing this configuration on the resolved conifold.

Non-Abelian T-Dualizing the Resolved Conifold with Regular and Fractional D3-Branes · Adding fractional and regular D3-branes · 0.95
In the following, applying our general method we identify a supersymmetric solution describing D3 and wrapped D5-branes on the resolved conifold, having the same active fields as in [ref] , plus the dilaton.

BPS domain walls in N=4 supergravity and dual flows · Supersymmetric D3 and D5-branes on resolved conifold · 0.83

Uses its data or values 2 papers

The explicit Kähler metric on the resolved conifold is [ref] ds^2_reg = ' d R^2 + R^2 ' 4 (dψ+ cosθ_1 d_1 + cosθ_2 d_2)^2 + 4 (dθ_1^2 + sin^2 θ_1 d _1^2) +( 4 + a^2 )( dθ_2^2 + sin^2 θ_2 d _2^2)) where $= (R^2)$ is a function of $R^2$ only and $' ≡/ R^2$.

Index and localization for type B superconformal mechanics on singular spaces · The conifold · 0.95
The metric and the Kähler form of the resolved conifold are [ref] : [equation] The coordinates have range: $r∈[0,∞)$, $ψ∈[0, 4π)$, $θ_j ∈[0,π]$ and $φ_j ∈[0,2π)$.

A chiral cascade via backreacting D7-branes with flux · Poincaré Duals and Exceptional Divisors · 0.87

Compares with it 9 papers

The metric that we proposed in [ref] (where we kept the harmonic functions undetermined) is very close to the metric of [ref] but differs in some subtle way:

Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds · Geometric transition and supersymmetric solution · 0.95
Note also that in the case of the resolved conifold, the smeared solution constructed by Pando-Zayas and Tseytlin [ref] had the same fall-off as the un-smeared version suggested in [ref] and explicitly constructed in [ref] .

M2-brane Flows and the Chern-Simons Level · The Gauge Dual of the Resolved Orbifold · 0.93
Furthermore, this agrees with the the expression of the warp factor of the solution by Pando-Zayas and Tseytlin [ref] , up to terms that are important at small $t$ and probably arise once we take into account the leading order variation of the dilaton at small $t$, $t ∼t_5$.

The unwarped, resolved, deformed conifold: fivebranes and the baryonic branch of the Klebanov-Strassler theory · The solution for large $U$, or $t_∞≫0$ · 1.00

Cites it as background 20 papers

The full supergravity solution for the resolved conifold was derived by Pando–Zayas and Tseytlin [ref] (PT) and includes non–trivial RR and NS flux with constant dilaton.

D-terms on the resolved conifold · The warped resolved conifold with fluxes · 0.84
We now consider the warped resolved conifold (WRC) [ref] where we study the dynamics of moving probe D-branes.

Fat Inflatons, Large Turns and the $\eta$-problem · The warped resolved conifold · 0.92
The warped deformed conifold [ref] (also known as the Klebanov–Strassler solution), the solution corresponding to D3–branes on the resolved conifold [ref] and the Chamseddine–Volkov/Maldacena–Nuñez solution [ref] (CVMN), all three arise from a common reduction of IIB supergravity.

Remark on the Baryonic Branch of the Warped Deformed Conifold · Introduction · 0.99

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.