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A geometric dual of c-extremization
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Couzens2019_Article_AGeometriCDualOfC-extremizatio.pdf | Published version | 940.08 kB | Adobe PDF | View/Open |
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 |