Hypermultiplets and Topological Strings

Cumrun Vafa; Martin Rocek; Stefan Vandoren

RECORD

Hypermultiplets and Topological Strings

Martin Rocek, Cumrun Vafa, Stefan Vandoren

High Energy Physics - Theory · Submitted 16 Dec 2005

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

The authors' main claim Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

how it is stated · asserted 0.88 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, 4,348 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.10 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the c-map in N=2 superspace. The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory. Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes. Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

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 c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle.	background 1.00	0.06	0.07	asserted 1.00
s1	We give an off-shell description of the c-map in N=2 superspace.	contribution 0.98	0.95	0.15	asserted 1.00
s2	The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory.	result 0.61	0.75	0.29	asserted 1.00
s3	Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes.	result 0.70	0.74	0.11	asserted 0.97
s4	Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.	interpretation 0.90	0.83	0.66	asserted 0.88

What kind of paper the classifier reports this is: theoretical result 0.94 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read

arXiv listing abstract v2

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 c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the c-map in N=2 superspace. The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory. Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes. Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

Human review

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

References

Forward citations

Cited by 7 Pith papers

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

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...
Small Cosmological Constants in String Theory
hep-th 2021-07 conditional novelty 6.0 of 10

Explicit type IIB orientifolds with quantized fluxes admit supersymmetric AdS4 vacua in which all closed-string moduli are stabilized and the cosmological constant is below 10^-123 in Planck units.
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.
D-instantons and twistors
hep-th 2008-12 conditional novelty 6.0 of 10

All D-instanton corrections to the hypermultiplet moduli space metric in Type II Calabi-Yau compactifications can be packaged as a sum of dilogarithms controlled by a single holomorphic function, in the leading instan...
Twistor Approach to String Compactifications: a Review
hep-th 2011-11 conditional novelty 5.0 of 10

D-brane and NS5-brane instanton corrections to the hypermultiplet moduli space of type II Calabi-Yau compactifications can be encoded as holomorphic transition functions on a twistor space, with S-duality, mirror symm...

Show 2 more citing papers

Quaternion-Kahler spaces, hyperkahler cones, and the c-map
math.DG 2006-03 conditional novelty 4.0 of 10

The hyperkähler cone of a c-map quaternion-Kähler space is determined by the special Kähler prepotential through H = F(η^I)/η^0, yielding an explicit hyperkähler potential.
Quantum hypermultiplet moduli spaces in N=2 string vacua: a review
hep-th 2013-04 accept novelty 2.0 of 10

The exact hypermultiplet moduli space metric is encoded in a complex contact structure on twistor space, built from Donaldson-Thomas invariants and constrained by wall-crossing and S-duality.

How the literature uses it

20 arXiv papers cite this in 36 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 · 25 sentences without a confident label

Uses its method or tool 1 paper

The twistor space $$ can be read off from the Legendre transform construction of [ref] [ref] .

Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence · Local c-map · 0.95

Compares with it 1 paper

Then using the result of [ref] we are able to establish agreement with the expression for $χ$ given in [ref] for hyperkähler cones which generically arise via the c-map.

E7(7) formulation of N=2 backgrounds · Introduction · 0.97

Cites it as background 7 papers

This has been understood in [ref] , based on the previous results of [ref] .

S-duality in Twistor Space · Twistorial description of $_H$ · 0.91
The projective superspace description of the hypermultiplet moduli space at tree level in Type II compactifications has been worked out in [ref] (see also [ref] for some prescient work), and the one-loop correction was incorporated in [ref] , generalizing earlier results [ref] .

D-instantons and twistors · Introduction · 0.98
Some aspects of the geometry of this map together with an attempt to include string loop effects appear in recent work [ref] .

Instantons, Hypermultiplets and the Heterotic String · BPS couplings in three dimensions · 0.90

Discussion

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