Gauge bosons and the AdS_3/LCFT_2 correspondence

Details Gauge bosons and the AdS_3/LCFT_2 correspondence Gauge bosons and the AdS_3/LCFT_2 correspondence

1999-04-08

arxiv.org/abs/hep-th/9904056v3

JHEP 9910 (1999) 009

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures, previous version should be replaced with this, the result was reversed

Scientific paper

10.1088/1126-6708/1999/10/009

We study the relationship between the gauge boson coupled to spin 2 operator and the singleton in three-dimensional anti-de Sitter space(AdS$_3$). The singleton can be expressed in terms of a pair of dipole ghost fields $A$ and $B$ which couple to $D$ and $C$ operators on the boundary of AdS$_3$. These operators form the logarithmic conformal field theory(LCFT$_2$). Using the correlation function for logarithmic pair, we calculate the greybody factor for the singleton. In the low temperature limit of $\omega \gg T_{\pm}$, this is compared with the result of the bulk AdS$_3$ calculation of the gauge boson. We find that the gauge boson cannot be realized as a model of the AdS$_3$/LCFT$_2$ correspondence.

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