Holographic microstate counting for AdS4 black holes in massive IIA supergravity
Holographic microstate counting for AdS4 black holes in massive IIA supergravity
复制标题
大规模 IIA 超重力中 AdS4 黑洞的全息微态计数
DOI：
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复制
发表时间：
2017
影响因子：
5.4
通讯作者：
A. Passias
中科院分区：
文献类型：
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作者：
Seyed Morteza Hosseini;K. Hristov;A. Passias
We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS4 × S6 from a microscopic counting of supersymmetric ground states in a holographically dual field theory. The counting is performed by evaluating the topologically twisted index of three-dimensional N=2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N}=2 $$end{document} Chern-Simons-matter gauge theories in the large N limit. The I-extremization principle is shown to match the attractor mechanism for the near-horizon geometries constructed in the four-dimensional dyonic N=2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N}=2 $$end{document} gauged supergravity, that arises as a consistent truncation of massive type IIA supergravity on S6. In particular, our results prove that the imaginary part of the three-dimensional partition functions plays a crucial rôle in holography.
We derive the Bekenstein-Hawking entropy for a class of BPS black holes in the massive type IIA supergravity background AdS4 × S6 from a microscopic counting of supersymmetric ground states in a holographically dual field theory. The counting is performed by evaluating the topologically twisted index of three-dimensional N=2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N}=2 $$end{document} Chern-Simons-matter gauge theories in the large N limit. The I-extremization principle is shown to match the attractor mechanism for the near-horizon geometries constructed in the four-dimensional dyonic N=2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$ mathcal{N}=2 $$end{document} gauged supergravity, that arises as a consistent truncation of massive type IIA supergravity on S6. In particular, our results prove that the imaginary part of the three-dimensional partition functions plays a crucial rôle in holography.