Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-24
Phys.Lett. B402 (1997) 43-52
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX, some comments added to make the arguments in sections 4 and 5 more precise, to appear in Phys. Lett. B
Scientific paper
10.1016/S0370-2693(97)00453-X
We address the derivation of the effective conformal field theory description of the 5-dimensional black hole, modelled by a collection of D1- and D5- branes, from the corresponding low energy U(Q_1)xU(Q_5) gauge theory. Finite horizon size at weak coupling requires both Q_1 and Q_5 to be large. We derive the result in the moduli space approximation (say for Q_1>Q_5) and appeal to supersymmetry to argue its validity beyond weak coupling. As a result of a combination of quenched Z_{Q_1} Wilson lines and a residual Weyl symmetry, the low-lying excitations of the U(Q_1)xU(Q_5) gauge theory are described by an effective N=4 superconformal field theory with c=6 in 1+1 dimensions, where the space is a circle of radius RQ_1Q_5. We also discuss the appearance of a marginal perturbation of the effective conformal field theory for large but finite values of Q_5.
Hassan S. F.
Wadia Spenta R.
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