Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP03(2017)067
Keywords
AdS-CFT Correspondence; Black Holes; Conformal Field Theory; Gauge gravity correspondence
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Funding
- Delta ITP consortium
- Netherlands Organisation for Scientific Research (NWO)
- Dutch Ministry of Education, Culture and Science (OCW)
- NSF [PHY13-16748]
- Yzurdiaga Chair at UCSB and the Simons Qubit Collaboration
- Direct For Mathematical & Physical Scien
- Division Of Physics [1620625] Funding Source: National Science Foundation
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We derive necessary and sufficient conditions for large N conformal field theories to have a universal free energy and an extended range of validity of the higher dimensional Cardy formula. These constraints are much tighter than in two dimensions and must be satisfied by any conformal field theory dual to Einstein gravity. We construct and analyze symmetric product orbifold theories on I'd and show that they only realize the necessary phase structure and extended range of validity if the seed theory is assumed to have a universal vacuum energy.
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