Holographic formula for the determinant of the scattering operator in thermal AdS

Resultado de la investigación: Article

8 Citas (Scopus)

Resumen

A 'holographic formula' expressing the functional determinant of the scattering operator in an asymptotically locally anti-de Sitter (ALAdS) space has been proposed in terms of a relative functional determinant of the scalar Laplacian in the bulk. It stems from considerations in AdS/CFT correspondence of a quantum correction to the partition function in the bulk and the corresponding sub-leading correction at large N on the boundary. In this paper, we probe this prediction for a class of quotients of hyperbolic space by a discrete subgroup of isometries. We restrict to the simplest situation of an Abelian group where the quotient geometry describes thermal AdS and also a non-spinning BTZ instanton. The bulk computation is explicitly done using the method of images and the answer can be encoded in a (Patterson-)Selberg zeta function.

Idioma originalEnglish
Número de artículo365401
PublicaciónJournal of Physics A: Mathematical and Theoretical
Volumen42
N.º36
DOI
EstadoPublished - 23 nov 2009

Huella dactilar

Scattering Operator
quotients
determinants
Determinant
Quotient
hyperbolic coordinates
Selberg zeta Function
Scattering
AdS/CFT Correspondence
Anti-de Sitter Space
operators
Discrete Subgroup
Method of Images
Hyperbolic Space
Instantons
subgroups
instantons
scattering
stems
Isometry

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

Citar esto

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