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- W2778953187 abstract "We compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form $$ {mathbb{S}}^a times {mathrm{mathbb{H}}}^b $$ , which are conformally related to $$ {{mathbb{S}}^a}^{+b} $$ . For the case of a = 1, related to the entanglement entropy across $$ {{mathbb{S}}^b}^{-1} $$ , we provide some new explicit computations of entanglement entropies at weak coupling. We then compute the free energy for spaces $$ {mathbb{S}}^a times {mathrm{mathbb{H}}}^b $$ for different values of a and b. For spaces $$ {mathbb{S}}^{2n+1}times {mathrm{mathbb{H}}}^{2k} $$ we find an exact match with the free energy on $$ {mathbb{S}}^{2n+2k+1} $$ . For ℍ2k + 1 and $$ {mathbb{S}}^3 times {mathrm{mathbb{H}}}^3 $$ we find conformal anomalies originating from boundary terms. We also compute the free energy for strongly coupled theories through holography, obtaining similar results." @default.
- W2778953187 created "2018-01-05" @default.
- W2778953187 creator A5026880502 @default.
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- W2778953187 date "2017-10-01" @default.
- W2778953187 modified "2023-10-16" @default.
- W2778953187 title "Free energy and boundary anomalies on S a × ℍ b $$ {mathbb{S}}^a times {mathrm{mathbb{H}}}^b $$ spaces" @default.
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- W2778953187 doi "https://doi.org/10.1007/jhep10(2017)084" @default.
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