Most general AdS3_{3} boundary conditions

Aug 3, 2016
23 pages
Published in:
  • JHEP 10 (2016) 023
  • Published: Oct 6, 2016
e-Print:
Report number:
  • TUW-16-16

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Abstract: (Springer)
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 \mathfrak{s}\mathfrak{l}{(2)}_k current algebras, the levels of which are given by k = ℓ/(4GN_{N} ), where ℓ is the AdS radius and GN_{N} the three-dimensional Newton constant.
Note:
  • 22 pp, v2: added refs. and subsection 4.4, v3: added two footnotes, v4: corrected minor misprints
  • AdS-CFT Correspondence
  • Chern-Simons Theories
  • Conformal and W Symmetry
  • boundary condition: anti-de Sitter
  • dimension: 3
  • cosmological constant: negative
  • potential: chemical
  • symmetry: algebra
  • gravitation: fundamental constant
  • fluctuation