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Gauge bosons and the \(\text{AdS}_3/\text{LCFT}_2\) correspondence. (English) Zbl 0957.81026

Summary: We study the gauge bosons coupled to spin 2 operators as the singleton fields in three-dimensional anti-de Sitter space (\(\text{AdS}_3)\). One of these can be expressed in terms of a pair of dipole A and B which couple to D and C operators at timelike infinity of \(\text{AdS}_3\). These operators form the logarithmic conformal field theory (\(\text{LCFT}_2)\). Using the correlation function for logarithmic pair, we calculate the greybody factor for the gauge boson. In the low temperature limit of \(\omega \gg T_{\pm}\), this is compared with the result of the bulk \(\text{AdS}_3\) calculation. We find that the gauge boson can be realized as a model of the \(\text{AdS}_3/\text{LCFT}_2\) correspondence.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
83E30 String and superstring theories in gravitational theory