Boundary correlators in WZW model on AdS2
In: Journal of High Energy Physics, Jg. 2020 (2020-05-01), Heft 5, S. 1-37
Online
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Zugriff:
Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS$_2$ have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the chiral component of the stress tensor on a plane restricted to the real line. Here we show that an analogous relation is true also in the WZW model: boundary correlators of the WZW scalars have the same structure as the correlators of chiral Ka\v{c}-Moody currents. This is checked at the level of the tree and one-loop Witten diagrams in AdS$_2$. We also compute some tree-level correlators in a generic $\sigma$-model defined on AdS$_2$ and show that they simplify only in the WZW case where an extra Ka\v{c}-Moody symmetry appears. In particular, the terms in 4-point correlators having logarithmic dependence on 1d cross-ratio cancel only at the WZW point. One motivation behind this work is to learn how to compute AdS$_2$ loop corrections in 2d models with derivative interactions related to the study of correlators of operators on Wilson loops in string theory in AdS.
Comment: 32 pages. v2: minor changes
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Boundary correlators in WZW model on AdS2
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Autor/in / Beteiligte Person: | Tseytlin, Arkady A. ; Jiang, Hongliang ; Beccaria, Matteo ; Beccaria, M. ; Jiang, H. ; Tseytlin, A. A. ; Science and Technology Facilities Council (STFC) |
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Zeitschrift: | Journal of High Energy Physics, Jg. 2020 (2020-05-01), Heft 5, S. 1-37 |
Veröffentlichung: | SpringerOpen, 2020 |
Medientyp: | unknown |
ISSN: | 1029-8479 (print) |
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