Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice Lüscher, James Sparks
{"title":"Toric gravitational instantons in gauged supergravity","authors":"Pietro Benetti Genolini, Jerome P. Gauntlett, Yusheng Jiao, Alice Lüscher, James Sparks","doi":"10.1103/physrevd.111.046024","DOIUrl":null,"url":null,"abstract":"We introduce a general class of toric gravitational instantons in D</a:mi>=</a:mo>4</a:mn></a:math>, <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi mathvariant=\"script\">N</c:mi><c:mo>=</c:mo><c:mn>2</c:mn></c:math> gauged supergravity, namely Euclidean supersymmetric solutions with <f:math xmlns:f=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><f:mi>U</f:mi><f:mo stretchy=\"false\">(</f:mo><f:mn>1</f:mn><f:msup><f:mo stretchy=\"false\">)</f:mo><f:mn>2</f:mn></f:msup></f:math> isometry. Such solutions are specified by a “supergravity labeled polytope,” where the labels encode the four-manifold topology, the choice of magnetic fluxes, and certain signs associated with the Killing spinor. Equivariant localization allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large <j:math xmlns:j=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><j:mi>N</j:mi></j:math> field theories are defined on the boundary three-manifolds, which are (squashed) lens spaces <l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mi>L</l:mi><l:mo stretchy=\"false\">(</l:mo><l:mi>p</l:mi><l:mo>,</l:mo><l:mi>q</l:mi><l:mo stretchy=\"false\">)</l:mo></l:math> or generalizations with orbifold singularities. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"27 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.046024","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce a general class of toric gravitational instantons in D=4, N=2 gauged supergravity, namely Euclidean supersymmetric solutions with U(1)2 isometry. Such solutions are specified by a “supergravity labeled polytope,” where the labels encode the four-manifold topology, the choice of magnetic fluxes, and certain signs associated with the Killing spinor. Equivariant localization allows us to write down the gravitational free energy for such a solution, assuming it exists, and study its properties. These results open the way for a systematic study of holography in this setting, where the dual large N field theories are defined on the boundary three-manifolds, which are (squashed) lens spaces L(p,q) or generalizations with orbifold singularities. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.