A geometric dual of c-extremization

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Title: A geometric dual of c-extremization
Authors: Couzens, C
Gauntlett, JP
Martelli, D
Sparks, J
Item Type: Journal Article
Abstract: We consider supersymmetric AdS3 × Y7 and AdS2 × Y9 solutions of type IIB and D = 11 supergravity, respectively, that are holographically dual to SCFTs with (0, 2) supersymmetry in two dimensions and N = 2 supersymmetry in one dimension. The geometry 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, but there are also some crucial differences. We show that the R-symmetry Killing vector may be determined by extremizing a function that depends only on certain global, topological data. In particular, assuming it exists, for n = 3 one can compute the central charge of an AdS3 × Y7 solution without knowing its explicit form. We interpret this as a geometric dual of c-extremization in (0, 2) SCFTs. For the case of AdS2 × Y9 solutions we show that the 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 also study many specific examples of the type AdS3×T 2×Y5, including a new family of explicit supergravity solutions. In addition we discuss the possibility that the (0, 2) SCFTs dual to these solutions can arise from the compactification on T 2 of certain d = 4 quiver gauge theories associated with five-dimensional Sasaki-Einstein metrics and, surprisingly, come to a negative conclusion.
Issue Date: 29-Jan-2019
Date of Acceptance: 22-Jan-2019
URI: http://hdl.handle.net/10044/1/71394
DOI: https://doi.org/10.1007/JHEP01(2019)212
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Start Page: 1
End Page: 55
Journal / Book Title: Journal of High Energy Physics
Volume: 2019
Issue: 6
Copyright Statement: © The Author(s) 2019. This article is published under an open access license. Please check the 'Copyright Information' section for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Commission of the European Communities
Science and Technology Facilities Council (STFC)
Funder's Grant Number: EP/K034456/1
339140
ST/P000762/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Differential and Algebraic Geometry
Supersymmetric Gauge Theory
Black Holes in String Theory
SASAKI-EINSTEIN MANIFOLDS
TORIC GEOMETRY
A-MAXIMIZATION
METRICS
hep-th
hep-th
math.DG
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Differential and Algebraic Geometry
Supersymmetric Gauge Theory
Black Holes in String Theory
SASAKI-EINSTEIN MANIFOLDS
TORIC GEOMETRY
A-MAXIMIZATION
METRICS
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 212
Online Publication Date: 2019-01-29
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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