Holographic boundary actions in AdS3/CFT2 revisited
| Autor: | Kévin Nguyen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Conformal Field Theory Chern-Simons Theories Cauchy stress tensor Conformal field theory FOS: Physical sciences Boundary (topology) Equations of motion QC770-798 Partition function (mathematics) AdS-CFT Correspondence Conformal and W Symmetry Action (physics) High Energy Physics::Theory High Energy Physics - Theory (hep-th) Nuclear and particle physics. Atomic energy. Radioactivity Hamiltonian (control theory) Polyakov action Mathematical physics |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2021, Iss 10, Pp 1-33 (2021) |
| Popis: | The generating functional of stress tensor correlation functions in two-dimensional conformal field theory is the nonlocal Polyakov action, or equivalently, the Liouville or Alekseev-Shatashvili action. I review its holographic derivation within the AdS$_3$/CFT$_2$ correspondence, both in metric and Chern-Simons formulations. I also provide a detailed comparison with the well-known Hamiltonian reduction of three-dimensional gravity to a flat Liouville theory, and conclude that the two results are unrelated. In particular, the flat Liouville action is still off-shell with respect to bulk equations of motion, and simply vanishes in case the latter are imposed. The present study also suggests an interesting re-interpretation of the computation of black hole spectral statistics recently performed by Cotler and Jensen as that of an explicit averaging of the partition function over the boundary source geometry, thereby providing potential justification for its agreement with the predictions of a random matrix ensemble. 24 pages + appendices, 1 figure. v2: corrected typos + new discussion of the variational principle where only the conformal class of boundary metrics is fixed. v3: matches the published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|