Tweaking one-loop determinants in AdS3

Castro, Alejandra; Keeler, Cynthia; Szepietowski, Phillip

doi:10.1007/jhep10(2017)070

Cited by 39 publications

(85 citation statements)

References 75 publications

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“…Note that the CSS boundary conditions make a selection on both the linearized fluctuations and the allowed images we sum over. As was shown in [48], only the holomorphic vector modes and tensor modes contribute to the partition on a fixed background, consistent with the chiral Virasoro-Kac-Moody symmetry in the dual WCFT. In addition, the saddle points should be obtained from images of given BTZ solutions generated by an SL(2, R) × U (1) quotient instead of SL(2, R) × SL(2, R).…”

Section: Introductionsupporting

confidence: 80%

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Rényi mutual information in holographic warped CFTs

Chen

Hao

Song

2019

J. High Energ. Phys.

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The study of Rényi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the Rényi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to gravity on AdS 3 or warped AdS 3 spacetimes under Dirichlet-Neumann boundary conditions. By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-to-leading order RMI in the large central charge and small cross-ratio limits. The leading order result is furthermore confirmed using the conformal block expansion. Finally, we match the nextto-leading order result by a 1-loop calculation in the bulk.

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Section: Introductionsupporting

confidence: 80%

“…where P is a set of representatives of primitive conjugacy classes of the Schottky group Γ. q γ is defined by writing the two eigenvalues of γ ∈ Γ as q ±1/2 γ with |q γ | < 1, and Z CSS (q,q) was studied in [48] using the quasi-normal mode method,…”

Section: One-loop Partition Function In Gravitymentioning

confidence: 99%

Rényi mutual information in holographic warped CFTs

Chen

Hao

Song

2019

J. High Energ. Phys.

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“…The computation done here is similar to that in [30] [33], but in Euclidean signature. To compute det (T ) (L − − iε), where the superscript T denotes the transverse part, we look for transverse resonance modes regular at the origin.…”

Section: Det L − : the Scattering Polesmentioning

confidence: 99%

Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral

Porrati

2019

J. High Energ. Phys.

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We evaluate to one loop the functional integral that computes the partition functions of Chern-Simons theories based on compact groups, using the background field method and a covariant gauge fixing. We compare our computation with the results of other, less direct methods. We find that our method correctly computes the characters of irreducible representations of Kac-Moody algebras. To extend the computation to non-compact groups we need to perform an appropriate analytic continuation of the partition function of the compact group. Non-vacuum characters are found by inserting a Wilson loop in the functional integral. We then extend our method to Euclidean Anti-de Sitter pure gravity in three dimensions. The explicit computation unveils several interesting features and lessons. The most important among them is that the very definition of gravity in the first-order Chern-Simons formalism requires non-trivial analytic continuations of the gauge fields outside their original domains of definition.

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“…7 Our task is now to compute numerically the gravitational bounce action with boundary conditions given by (29). As one can see in Fig.…”

Section: Tunneling In the Hawking-turok Backgroundmentioning

confidence: 99%

“…If decoupling is successful for each solution, then we can say it is successful for the amplitude corresponding to the chosen boundary conditions. 5 See, for instance, the discussions in [27][28][29].…”

Section: Gravitational Decouplingmentioning

confidence: 99%

Gravitational decoupling and the Picard-Lefschetz approach

et al. 2018

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In this work, we consider tunneling between nonmetastable states in gravitational theories. Such processes arise in various contexts, e.g., in inflationary scenarios where the inflaton potential involves multiple fields or multiple branches. They are also relevant for bubble wall nucleation in some cosmological settings. However, we show that the transition amplitudes computed using the Euclidean method generally do not approach the corresponding field theory limit as M p → ∞. This implies that in the Euclidean framework, there is no systematic expansion in powers of G N for such processes. Such considerations also carry over directly to no-boundary scenarios involving Hawking-Turok instantons. In this note, we illustrate this failure of decoupling in the Euclidean approach with a simple model of axion monodromy and then argue that the situation can be remedied with a Lorentzian prescription such as the Picard-Lefschetz theory. As a proof of concept, we illustrate with a simple model how tunneling transition amplitudes can be calculated using the Picard-Lefschetz approach.

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Tweaking one-loop determinants in AdS3

Cited by 39 publications

References 75 publications

Rényi mutual information in holographic warped CFTs

Rényi mutual information in holographic warped CFTs

Kac-Moody and Virasoro characters from the perturbative Chern-Simons path integral

Gravitational decoupling and the Picard-Lefschetz approach

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