AdS one-loop partition functions from bulk and edge characters

Sun, Zimo

doi:10.1007/jhep12(2021)064

Cited by 10 publications

(18 citation statements)

References 55 publications

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“…We compare the situation to analogous one-loop expressions [55,56,93] for Euclidean AdS with standard (AdS + d+1 ) [14][15][16][17][18] and alternate (AdS − d+1 ) [48] gauge field boundary conditions, and to the associated conformal higher-spin theory on the boundary S d (CHS d ) [49,94]. For AdS + the above problems are absent, as g is not gauged and ∆ s > s. Like a summed KK tower, the spin-summed bulk character has increased UV dimensionality d bulk eff = 2d − 2.…”

Section: Unclear How To Make Sense Of Vol Gmentioning

confidence: 99%

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Anninos

Denef

Law

et al. 2022

J. High Energ. Phys.

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Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles in arbitrary spin representations. In doing so, we universally relate the sphere partition function to the quotient of a quasi-canonical bulk and a Euclidean edge partition function, given by integrals of characters encoding the bulk and edge spectrum of the observable universe. Expanding the bulk character splits the bulk (entanglement) entropy into quasinormal mode (quasiqubit) contributions. For 3D higher-spin gravity formulated as an sl(n) Chern-Simons theory, we obtain all-loop exact results. Further to this, we show that the theory has an exponentially large landscape of de Sitter vacua with quantum entropy given by the absolute value squared of a topological string partition function. For generic higher-spin gravity, the formalism succinctly relates dS, AdS± and conformal results. Holography is exhibited in quasi-exact bulk-edge cancelation.

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Section: Unclear How To Make Sense Of Vol Gmentioning

confidence: 99%

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Anninos

Denef

Law

et al. 2022

J. High Energ. Phys.

Self Cite

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“…8) is excluded by the recently proposed FL bound [5,37]. We will also apply the character formalism as developed for AdS in [35] to understand pair creation around the AdS 2 black hole and clarify a result from [22]. In AdS, there is a threshold for pair creation, unlike in dS 2 where it happens for any non-zero value of the electric field.…”

Section: Schwinger Pair Productionmentioning

confidence: 99%

“…Our discussion so far has been limited to dS, but in fact it was originally noted by [44] in the context of AdS that the character encodes both the continuous spectrum eigenfunctions appearing in the heat kernel and the discrete spectrum of quasinormal modes. In [35], the Euclidean partition function on the Poincaré disk in general dimensions was interpreted in terms of a quasicanonical thermal partition function in Rindler-AdS, analogous to the thermal static patch interpretation of the dS results by [6] on which the previous sections were based. Here, we generalize the derivation in [35] to include a background electric field E in AdS 2 .…”

Section: Revisiting Ads 2 Pair Production Via the Character Integralmentioning

confidence: 99%

“…In [35], the Euclidean partition function on the Poincaré disk in general dimensions was interpreted in terms of a quasicanonical thermal partition function in Rindler-AdS, analogous to the thermal static patch interpretation of the dS results by [6] on which the previous sections were based. Here, we generalize the derivation in [35] to include a background electric field E in AdS 2 . This arises naturally in the near-horizon limit of extremal Kerr black holes [40].…”

Section: Revisiting Ads 2 Pair Production Via the Character Integralmentioning

confidence: 99%

“…In the case without flux, propagators in various dS patches, the imaginary part of the effective action, pair production, and the relation to rotation from Euclidean sphere have been discussed in [33,34]. Furthermore, we apply the character formalism as developed for AdS in [35] to study vacuum instability in the AdS 2 black hole background. Unlike in dS 2 , there is a minimum value for the electric field above which pair creation becomes possible.…”

Section: Introduction and Outlinementioning

confidence: 99%

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Characters, quasinormal modes, and Schwinger pairs in $dS_2$ with flux

Grewal,

Parmentier

2021

Preprint

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An integral representation of the 1-loop partition function for charged scalars and spinors, minimally coupled to a uniform U (1) field on S 2 , is given in terms of SO(1, 2) Harish-Chandra group characters and evaluated exactly in terms of Hurwitz ζ-functions. Analytically continuing the U (1) field, we interpret the path integrals as quasicanonical partition functions in dS 2 with an electric field. The character itself is obtained as a trace over states living at the future boundary of de Sitter and has a quasinormal mode expansion. The imaginary part of the partition function captures Schwinger pair creation in the static patch at finite temperature. The thermal enhancement is most noticeable for scalar masses below Hubble and leads to non-monotonicity of the current as a function of the field. This parameter range, when dimensionally reducing from a charged or rotating Nariai spacetime, is excluded by Swampland-inspired bounds. Around the AdS 2 black hole, in contrast to dS 2 , there is a threshold to pair creation.

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Characters, quasinormal modes, and Schwinger pairs in dS2 with flux

Grewal

Parmentier

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

An integral representation of the 1-loop partition function for charged scalars and spinors, minimally coupled to a uniform U(1) field on S2, is given in terms of SO(1, 2) Harish-Chandra group characters and evaluated exactly in terms of Hurwitz ζ-functions. Analytically continuing the U(1) field, we interpret the path integrals as quasicanonical partition functions in dS2 with an electric field. The character itself is obtained as a trace over states living at the future boundary of de Sitter and has a quasinormal mode expansion. The imaginary part of the partition function captures Schwinger pair creation in the static patch at finite temperature. The thermal enhancement is most noticeable for scalar masses below Hubble and leads to non-monotonicity of the current as a function of the field. This parameter range, when dimensionally reducing from a charged or rotating Nariai spacetime, is excluded by Swampland-inspired bounds. Around the AdS2 black hole, in contrast to dS2, there is a threshold to pair creation.

show abstract

AdS one-loop partition functions from bulk and edge characters

Cited by 10 publications

References 55 publications

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions

Characters, quasinormal modes, and Schwinger pairs in $dS_2$ with flux

Characters, quasinormal modes, and Schwinger pairs in dS2 with flux

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