期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP03(2015)103
关键词
Supersymmetry and Duality; AdS-CFT Correspondence; Chern-Simons Theories
资金
- National Research Foundation of Korea (NRF) [2012R1A1B3001085, 2012R1A2A2A02046739]
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
- National Research Foundation of Korea [00000001, 2012R1A1B3001085, 2012R1A2A2A02046739] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
We study the supersymmetric free energy of three dimensional Chern-Simonsmatter theories holographically dual to AdS(4) times toric Sasaki-Einstein seven-manifolds. In the large N limit, we argue that the square of the free energy can be written as a quartic polynomial of trial R-charges. The coefficients of the polynomial are determined geometrically from the toric diagrams. We present the coefficients of the quartic polynomial explicitly for generic toric diagrams with up to 6 vertices, and some particular diagrams with 8 vertices. Decomposing the trial R-charges into mesonic and baryonic variables, and eliminating the baryonic ones, we show that the quartic polynomial reproduces the inverse of the Martelli-Sparks-Yau volume function. On the gravity side, we explore the possibility of using the same quartic polynomial as the prepotential in the AdS gauged supergravity. Comparing Kaluza-Klein gravity and gauged supergravity descriptions, we find perfect agreement in the mesonic sector but some discrepancy in the baryonic sector.
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