4.4 Article

Most general AdS3 boundary conditions

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP10(2016)023

Keywords

AdS-CFT Correspondence; Chern-Simons Theories; Conformal and W Symmetry

Funding

  1. Austrian Science Fund (FWF) [P 27182-N27, P 28751-N27]
  2. Science without Borders [CNPq-401180/2014-0]
  3. DOC fellowship of the Austrian Academy of Sciences
  4. Doktoratskolleg Particles & Interactions (FWF project) [DKW 1252-N27]
  5. Austrian Science Fund (FWF) [P 28751, P 27182] Funding Source: researchfish
  6. Austrian Science Fund (FWF) [P28751] Funding Source: Austrian Science Fund (FWF)

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We consider the most general asymptotically anti-de Sitter boundary conditions in three-dimensional Einstein gravity with negative cosmological constant. The metric contains in total twelve independent functions, six of which are interpreted as chemical potentials (or non-normalizable fluctuations) and the other half as canonical boundary charges (or normalizable fluctuations). Their presence modifies the usual Fefferman-Graham expansion. The asymptotic symmetry algebra consists of two sl(2)k current algebras, the levels of which are given by k = l/(4G(N)), where l is the AdS radius and G(N) the three-dimensional Newton constant.

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