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arXiv · 1504.07492

Spectral flow and conformal blocks in $AdS_3$

Yago Cagnacci·Sergio M. Iguri
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Abstract

In this article we investigate the structure of the four-point functions of the $AdS_3$-WZNW model. We consider the integral expression for the unflowed four-point correlator involving at least one state in the discrete part of the spectrum derived by analytic continuation from the $H_3^+$-WZNW model and we show that the conformal blocks can be obtained from those with an extremal-weight state by means of an intertwining operator. We adapt the procedure for dealing with correlators with a single unit of spectral flow charge and we get a factorized integral expression for the corresponding four-point function. We finally transform the formulas back to the space-time picture.

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Yago Cagnacci, Sergio M. Iguri. 2015-04-28. Spectral flow and conformal blocks in $AdS_3$. https://arxiv.org/abs/1504.07492

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