Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2021)025
Keywords
AdS-CFT Correspondence; Anomalies in Field and String Theories; Supersymmetric Gauge Theory
Categories
Funding
- National Research Foundation of Korea (NRF) [2018R1A2B6004914, 2017R1D1A1B06034369, NRF-2020R1C1C1007591]
- Junior Research Group Program at the APCTP through the Science and Technology Promotion Fund
- Lottery Fund of the Korean Government
- Gyeongsangbuk-do
- Pohang City
- Settlement Research Grant for the new faculty by Korea Advanced Institute for Science and Technology (KAIST)
- NSF [PHY1911298]
- National Research Foundation of Korea [2018R1A2B6004914, 00000002, 2017R1D1A1B06034369] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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This study examines the asymptotic behavior of the (modified) superconformal index for 4d N = 1 gauge theory, finding that the 'high-temperature limit' of the index can be expressed in terms of conformal anomalies. Moreover, the macroscopic entropy of the interacting SCFT system is derived from the asymptotic free energy when certain bounds are satisfied. Additionally, the Carby limit of the index for N = 1 theories dual to AdS(5) x Y-p,Y-p is found to explain the Bekenstein-Hawking entropy of large black holes.
We study the asymptotic behavior of the (modified) superconformal index for 4d N = 1 gauge theory. By considering complexified chemical potential, we find that the 'high-temperature limit' of the index can be written in terms of the conformal anomalies 3c - 2a. We also find macroscopic entropy from our asymptotic free energy when the Hofman-Maldacena bound 1/2 < a/c < 3/2 for the interacting SCFT is satisfied. We study N = 1 theories that are dual to AdS(5) x Y-p,Y-p and find that the Cardy limit of our index accounts for the Bekenstein-Hawking entropy of large black holes.
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