Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions

Abstract

We consider correlation functions for string theory on AdS_3. We analyze their singularities and we provide a physical interpretation for them. We explain which worldsheet correlation functions have a sensible physical interpretation in terms of the boundary theory. We consider the operator product expansion of the four point function and we find that it factorizes only if a certain condition is obeyed. We explain that this is the correct physical result. We compute correlation functions involving spectral flowed operators and we derive a constraint on the amount of winding violation.

87 pages, 7 figures; minor changes

References in corpus (5)

• Correlators in AdS_3 string theory
• Notes on AdS_3
• Crossing Symmetry in the $H_3^{+}$ WZNW model
• Three-point functions and operator product expansion in the SL(2) conformal field theory
• Operator product expansion in SL(2) conformal field theory

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