期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2017)132
关键词
AdS-CFT Correspondence; Supergravity Models; Supersymmetric gauge theory
资金
- EPSRC
- Scatcherd European Scholarship
- Simons Center for Geometry and Physics, Stony Brook University
- programme Investissements d'avenir [ANR-11-IDEX-0004-02]
- ERC Starting Grant [304806]
- EPSRC
- Scatcherd European Scholarship
- Simons Center for Geometry and Physics, Stony Brook University
- programme Investissements d'avenir [ANR-11-IDEX-0004-02]
- ERC Starting Grant [304806]
- European Research Council (ERC) [304806] Funding Source: European Research Council (ERC)
- Engineering and Physical Sciences Research Council [1500528] Funding Source: researchfish
Holographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally AdS spacetimes. For dual boundary field theories which are supersymmetric it is natural to ask whether this defines a supersymmetric renormalization scheme. Recent results in localization have brought this question into sharp focus: rigid supersymmetry on a curved boundary requires specific geometric structures, and general arguments imply that BPS observables, such as the partition function, are invariant under certain deformations of these structures. One can then ask if the dual holographic observables are similarly invariant. We study this question in minimal N = 2 gauged supergravity in four and five dimensions. In four dimensions we show that holographic renormalization precisely reproduces the expected field theory results. In five dimensions we find that no choice of standard holographic counterterms is compatible with supersymmetry, which leads us to introduce novel finite boundary terms. For a class of solutions satisfying certain topological assumptions we provide some independent tests of these new boundary terms, in particular showing that they reproduce the expected VEVs of conserved charges.
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