Imperial College London
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ProfessorJeromeGauntlett

Faculty of Natural Sciences, Department of Physics

Chair in Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 1275j.gauntlett Website

 
 
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Assistant

 

Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843

 
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Location

 

602BHuxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Couzens:2019:10.1007/JHEP01(2019)212,
author = {Couzens, C and Gauntlett, JP and Martelli, D and Sparks, J},
doi = {10.1007/JHEP01(2019)212},
journal = {Journal of High Energy Physics},
pages = {1--55},
title = {A geometric dual of c-extremization},
url = {http://dx.doi.org/10.1007/JHEP01(2019)212},
volume = {2019},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider supersymmetric AdS3 × Y7 and AdS2 × Y9 solutions of type IIBand D = 11 supergravity, respectively, that are holographically dual to SCFTs with (0, 2)supersymmetry in two dimensions and N = 2 supersymmetry in one dimension. Thegeometry of Y2n+1, which can be defined for n ≥ 3, shares many similarities with SasakiEinstein geometry, including the existence of a canonical R-symmetry Killing vector, butthere are also some crucial differences. We show that the R-symmetry Killing vector maybe determined by extremizing a function that depends only on certain global, topologicaldata. In particular, assuming it exists, for n = 3 one can compute the central charge ofan AdS3 × Y7 solution without knowing its explicit form. We interpret this as a geometricdual of c-extremization in (0, 2) SCFTs. For the case of AdS2 × Y9 solutions we show thatthe extremal problem can be used to obtain properties of the dual quantum mechanics,including obtaining the entropy of a class of supersymmetric black holes in AdS4. We alsostudy many specific examples of the type AdS3×T2×Y5, including a new family of explicitsupergravity solutions. In addition we discuss the possibility that the (0, 2) SCFTs dualto these solutions can arise from the compactification on T2 of certain d = 4 quiver gaugetheories associated with five-dimensional Sasaki-Einstein metrics and, surprisingly, cometo a negative conclusion.
AU  - Couzens,C
AU  - Gauntlett,JP
AU  - Martelli,D
AU  - Sparks,J
DO  - 10.1007/JHEP01(2019)212
EP  - 55
PY  - 2019///
SN  - 1029-8479
SP  - 1
TI  - A geometric dual of c-extremization
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP01(2019)212
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000457501200002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2FJHEP01(2019)212
UR  - http://hdl.handle.net/10044/1/71394
VL  - 2019
ER  -
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