Most general AdS boundary conditions
Aug 3, 201623 pages
Published in:
- JHEP 10 (2016) 023
- Published: Oct 6, 2016
e-Print:
- 1608.01308 [hep-th]
Report number:
- TUW-16-16
View in:
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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 current algebras, the levels of which are given by k = ℓ/(4G ), where ℓ is the AdS radius and G 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
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