Supersymmetric AdS Backgrounds in String and M-theory

Daniel Waldram; Dario Martelli; James Sparks; Jerome P. Gauntlett

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Supersymmetric AdS Backgrounds in String and M-theory

Jerome P. Gauntlett, Dario Martelli, James Sparks, Daniel Waldram

High Energy Physics - Theory · Submitted 22 Nov 2004

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

The authors' main claim Turning to AdS_5 compactifications in type IIB, we summarize the construction of an infinite class of new Sasaki-Einstein manifolds in dimension 2k+3 given a positive curvature Kahler-Einstein base manifold in dimension 2k.

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arXiv IDhep-th/0411194 (version 1)

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CitationDaniel Waldram, Dario Martelli, James Sparks, Jerome P. Gauntlett. "Supersymmetric AdS Backgrounds in String and M-theory." arXiv:hep-th/0411194 (2004). https://pith.science/paper/QPTO6U2I

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,419 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.36 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.18 · compares with prior results 0.32 · mentions code or data availability 0.01.

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

We first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion. We then summarize recent work on the generic conditions for supersymmetric AdS_5 backgrounds in M-theory and the construction of classes of new solutions. Turning to AdS_5 compactifications in type IIB, we summarize the construction of an infinite class of new Sasaki-Einstein manifolds in dimension 2k+3 given a positive curvature Kahler-Einstein base manifold in dimension 2k. For k=1 these describe new supergravity duals for N=1 superconformal field theories with both rational and irrational R-charges and central charge. We also present a generalization of this construction, that has not appeared elsewhere in the literature, to the case where the base is a product of Kahler-Einstein manifolds.

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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	We first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion.	background 0.91	0.37	0.03	asserted 0.86
s1	We then summarize recent work on the generic conditions for supersymmetric AdS_5 backgrounds in M-theory and the construction of classes of new solutions.	contribution 0.88	0.53	0.09	asserted 0.93
s2	Turning to AdS_5 compactifications in type IIB, we summarize the construction of an infinite class of new Sasaki-Einstein manifolds in dimension 2k+3 given a positive curvature Kahler-Einstein base manifold in dimension 2k.	contribution 0.90	0.81	0.22	asserted 1.00
s3	For k=1 these describe new supergravity duals for N=1 superconformal field theories with both rational and irrational R-charges and central charge.	interpretation 0.55	0.76	0.16	asserted 1.00
s4	We also present a generalization of this construction, that has not appeared elsewhere in the literature, to the case where the base is a product of Kahler-Einstein manifolds.	contribution 0.99	0.91	0.14	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.71 · evidence from proof or derivation 0.76.

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arXiv listing abstract v1

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C citations
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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

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Original abstract

We first present a short review of general supersymmetric compactifications in string and M-theory using the language of G-structures and intrinsic torsion. We then summarize recent work on the generic conditions for supersymmetric AdS_5 backgrounds in M-theory and the construction of classes of new solutions. Turning to AdS_5 compactifications in type IIB, we summarize the construction of an infinite class of new Sasaki-Einstein manifolds in dimension 2k+3 given a positive curvature Kahler-Einstein base manifold in dimension 2k. For k=1 these describe new supergravity duals for N=1 superconformal field theories with both rational and irrational R-charges and central charge. We also present a generalization of this construction, that has not appeared elsewhere in the literature, to the case where the base is a product of Kahler-Einstein manifolds.

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References

Forward citations

Cited by 6 Pith papers

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

Sasaki-Einstein Manifolds and Volume Minimisation
hep-th 2006-03 accept novelty 8.0 of 10

On any Sasaki-Einstein manifold the volume normalized by the round sphere is an algebraic number, computed from a localization formula in terms of the Reeb vector field and fixed point data.
The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
hep-th 2005-03 accept novelty 8.0 of 10

The Reeb vector and volume of a toric Sasaki-Einstein manifold are obtained by minimizing a function Z built only from the toric data of the singularity.
An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
hep-th 2004-11 accept novelty 8.0 of 10

An infinite family of quiver gauge theories is constructed and shown, via a-maximization, to reproduce exactly the central charges and baryon R-charges computed from the dual Sasaki-Einstein metrics.
Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
hep-th 2004-11 conditional novelty 7.0 of 10

The cones over the Sasaki-Einstein spaces Y^{p,q} are toric Kähler quotients with charges (p,p,-p+q,-p-q), giving an infinite family of AdS/CFT dual quiver theories and identifying Y^{2,1} with the first del Pezzo cone.
Supersymmetric AdS(4) compactifications of IIA supergravity
hep-th 2004-12 conditional novelty 6.0 of 10

N=1 supersymmetric AdS4 compactifications of massive IIA supergravity require a half-flat internal six-manifold with torsion in two specific classes, and all form fluxes are fixed by the internal geometry.

Show 1 more citing papers

Brane Tilings and Their Applications
hep-th 2008-03 accept novelty 3.0 of 10

Brane tilings are not just combinatorial graphs: they are fivebrane diagrams that map toric Calabi-Yau cones to N=1 quiver gauge theories and organize their AdS/CFT and mirror-symmetry applications.

How the literature uses it

14 arXiv papers cite this in 22 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 · 17 sentences without a confident label

Compares with it 1 paper

(Points related by inversion $t_1↔t_2$ correspond to the same solution.) These correspond to the solutions found in [ref] and [ref] , more or less in the coordinates of the first reference.

A massive class of $\mathcal{N} = 2$ AdS$_4$ IIA solutions · $F_0=0$ · 0.93

Cites it as background 4 papers

In section [ref], we will review the solutions found in [ref] and [ref] , and find their parameter space.

Parameter spaces of massive IIA solutions · Introduction · 0.88
This front has witnessed remarkable progress in recent years: in the conformal case, with the precision matching of geometric properties of new infinite families of Sasaki-Einstein metrics and their gauge theory duals [ref] ; in the presence of fractional branes, with the dictionary between geometric properties of the singularity and strong infrared dynamics in the dual gauge theories [ref] .

Dimers and Orientifolds · Introduction · 0.87
Since the early 1980's there has been great progress in understanding the geometric implications of flux compactifications of different theories with different details, such as compactifications of type $IIA$, type $IIB$, and heterotic supergravities for $D=10$, and compactifications of $D=11$ supergravities with different amounts of supersymmetry [ref] .

G2-structures for N=1 supersymmetric AdS4 solutions of M-theory · Introduction · 1.00

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