The special role of toroidal black holes in holography

McInnes, Brett

doi:10.1016/j.nuclphysb.2023.116126

Nuclear Physics B

2023

DOI: 10.1016/j.nuclphysb.2023.116126

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The special role of toroidal black holes in holography

Brett McInnes

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Cited by 4 publications

References 38 publications

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Thermal one point functions, large d and interior geometry of black holes

David

Kumar

2023

J. High Energ. Phys.

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We study thermal one point functions of massive scalars in AdSd+1 black holes. These are induced by coupling the scalar to either the Weyl tensor squared or the Gauss-Bonnet term. Grinberg and Maldacena argued that the one point functions sourced by the Weyl tensor exponentiate in the limit of large scalar masses and they contain information of the black hole geometry behind the horizon. We observe that the one point functions behave identically in this limit for either of the couplings mentioned earlier. We show that in an appropriate large d limit, the one point function for the charged black hole in AdSd+1 can be obtained exactly. These black holes in general contain an inner horizon. We show that the one point function exponentiates and contains the information of both the proper time between the outer horizon to the inner horizon as well as the proper length from the inner horizon to the singularity. We also show that Gauss-Bonnet coupling induced one point functions in AdSd+1 black holes with hyperbolic horizons behave as anticipated by Grinberg-Maldacena. Finally, we study the one point functions in the background of rotating BTZ black holes induced by the cubic coupling of scalars.

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Thermal one point functions, large d and interior geometry of black holes

David

Kumar

2023

J. High Energ. Phys.

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Thermal one-point functions: CFT’s with fermions, large d and large spin

David,

Kumar

2023

J. High Energ. Phys.

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We apply the OPE inversion formula on thermal two-point functions of fermions to obtain thermal one-point function of fermion bi-linears appearing in the corresponding OPE. We primarily focus on the OPE channel which contains the stress tensor of the theory. We apply our formalism to the mean field theory of fermions and verify that the inversion formula reproduces the spectrum as well as their corresponding thermal one-point functions. We then examine the large N critical Gross-Neveu model in d = 2k + 1 dimensions with k even and at finite temperature. We show that stress tensor evaluated from the inversion formula agrees with that evaluated from the partition function at the critical point. We demonstrate the expectation values of 3 different classes of higher spin currents are all related to each other by numerical constants, spin and the thermal mass. We evaluate the ratio of the thermal expectation values of higher spin currents at the critical point to the Gaussian fixed point or the Stefan-Boltzmann result, both for the large N critical O(N) model and the Gross-Neveu model in odd dimensions. This ratio is always less than one and it approaches unity on increasing the spin with the dimension d held fixed. The ratio however approaches zero when the dimension d is increased with the spin held fixed.

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Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence

Bousder

Salmani

Ez-Zahraouy

2023

Journal of High Energy Astrophysics

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The special role of toroidal black holes in holography

Cited by 4 publications

References 38 publications

Thermal one point functions, large d and interior geometry of black holes

Thermal one point functions, large d and interior geometry of black holes

Thermal one-point functions: CFT’s with fermions, large d and large spin

Entropy as logarithmic term of the central charge and modified Friedmann equation in AdS/CFT correspondence

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