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Title: Topologically twisted index in the ’t Hooft limit and the dual AdS 4 black hole entropy

Journal Article · · Physical Review. D.
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We study the topologically twisted index of N = 6 supersymmetric Chern-Simons matter theory with U(N)k × U(N) –k gauge group in the ’t Hooft limit, that is, for N, k → ∞ with λ = N/k fixed. In the regime where λ is fixed and large we find an analytical expression for the leading order term of the index. The leading term of the index matches precisely the Bekenstein-Hawking entropy of the dual asymptotically AdS4 magnetically charged black holes embedded in IIA supergrvity on AdS4 × CP3, after a standard Legendre transformation. We numerically explore the genus expansion of the topologically twisteed index beyond the leading order, focusing on the genus one contribution, that is, N0. We find qualitative agreement with the topological expansion of the free energy on S3 at genus one. Our logarithmic in λ term constitutes a prediction for the one-loop effective action on the IIA supergravity side.

Research Organization:
Univ. of Michigan, Ann Arbor, MI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0007859
OSTI ID:
1579997
Alternate ID(s):
OSTI ID: 1656713
Journal Information:
Physical Review. D., Journal Name: Physical Review. D. Vol. 100 Journal Issue: 12; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Gauge-gravity dualities
Large-N expansion in field theory
Quantum aspects of black holes