A non-existence theorem for N &gt; 16 supersymmetric AdS3 backgrounds

Haupt, Alexander S.; Lautz, S.; Papadopoulos, Georgios

doi:10.1007/jhep07(2018)178

Cited by 17 publications

(35 citation statements)

References 58 publications

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“…Recently, all warped anti-de-Sitter (AdS) backgrounds with fluxes that preserve N > 16 supersymmetries in d = 11 and d = 10 supergravities have been classified up to a local isometry in [1,2,3]. In this note, we extend this result to include all warped R n−1,1 × w M d−n backgrounds of these theories.…”

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confidence: 72%

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Lautz

Papadopoulos

2019

Physics Letters B

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We demonstrate that warped Minkowski space backgrounds, R n−1,1 × w M d−n , n ≥ 3, that preserve strictly more than 16 supersymmetries in d = 11 and type II d = 10 supergravities and with fields which may not be smooth everywhere are locally isometric to the R d−1,1 Minkowski vacuum. In particular, all such flux compactification vacua of these theories have the same local geometry as the maximally supersymmetric vacuum R n−1,1 × T d−n .

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confidence: 72%

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Lautz

Papadopoulos

2019

Physics Letters B

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“…As an application of the technology developed so far, we shall provide a classification of smooth warped AdS backgrounds with compact, without boundary, internal space that preserve N > 16 supersymmetries in d = 11 and d = 10 type II supergravities [10,[259][260][261]. In particular, one can show the following.…”

Section: N > 16 Ads Backgroundsmentioning

confidence: 99%

“…One uses a similar methodology to establish the classification statement for AdS 4 backgrounds in Section 12.7 for (massive) IIA and IIB supergravities. This method can also be extended to prove a non-existence result for AdS 2 and AdS 3 backgrounds that preserve N > 16 supersymmetries [261,265].…”

Section: A Non-existence Theorem For Warped N = 24 Ads 5 Backgroundsmentioning

confidence: 99%

Classification, geometry and applications of supersymmetric backgrounds

2019

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We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT correspondence unveiling a plethora of existence and uniqueness theorems. Some other aspects of supersymmetric solutions like the Killing superalgebras and the homogeneity theorem are also presented, and the non-existence theorem for certain smooth supergravity flux compactifications is outlined. Amongst the applications described is the proof of the emergence of conformal symmetry near black hole horizons and the classification of warped AdS backgrounds that preserve more than 16 supersymmetries.

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“…The best understood avatars of the AdS/CFT correspondence provide a map between geometries and CFTs preserving maximal supersymmetry, which for AdS 3 solutions in ten or eleven dimensions is 16 real supercharges [4]. These maximal cases are thus a well motivated place to focus a classification effort.…”

Section: Jhep05(2021)263 1 Introduction and Summarymentioning

confidence: 99%

All $$ \mathcal{N} $$ = (8, 0) AdS3 solutions in 10 and 11 dimensions

Legramandi

Monaco

Macpherson

2021

J. High Energ. Phys.

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We classify AdS3 solutions preserving $$ \mathcal{N} $$ N = (8, 0) supersymmetry in ten and eleven dimensions and find the local form of each of them. These include the AdS3×S6 solution of [1] and the embeddings of AdS3 into AdS4×S7, AdS5×S5, AdS7/ℤk×S4 and its IIA reduction within AdS7. More interestingly we find solutions preserving the superconformal algebras $$ {\mathfrak{f}}_4,\mathfrak{su}\left(1,1|4\right),\mathfrak{osp}\left({4}^{\ast }|4\right) $$ f 4 , su 1 1 4 , osp 4 ∗ 4 on certain squashings of the 7-sphere. These solutions asymptote to AdS4×S7 and are promising candidates for holographic duals to defects in Chern-Simons matter theories.

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A non-existence theorem for N > 16 supersymmetric AdS3 backgrounds

Abstract: We show that there are no smooth warped AdS 3 solutions in 10-and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a compact without boundary manifold.

Cited by 17 publications

References 58 publications

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Classification, geometry and applications of supersymmetric backgrounds

All $$ \mathcal{N} $$ = (8, 0) AdS3 solutions in 10 and 11 dimensions

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A non-existence theorem for N > 16 supersymmetric AdS3 backgrounds

Abstract: We show that there are no smooth warped AdS 3 solutions in 10-and 11-dimensional supergravities which preserve strictly more than 16 supersymmetries and have internal space a compact without boundary manifold.

Cited by 17 publications

References 58 publications

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

Classification, geometry and applications of supersymmetric backgrounds

All $$ \mathcal{N} $$ = (8, 0) AdS3 solutions in 10 and 11 dimensions

Contact Info

Product

Resources

About

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes

A uniqueness theorem for warped N > 16 Minkowski backgrounds with fluxes