Green-Schwarz strings in TsT-transformed backgrounds.
Item Type:Journal Article
Citation:Luis F. Alday, Gleb Arutyunov and Sergey Frolov, Green-Schwarz strings in TsT-transformed backgrounds., Journal of High Energy Physics, 6, 2006, 018
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We consider classical strings propagating in a background generated by a sequence of TsT transformations. We describe a general procedure to derive the Green-Schwarz action for strings. We show that the U(1) isometry variables of the TsT-transformed background are related to the isometry variables of the initial background in a universal way independent of the details of the background. This allows us to prove that strings in the TsT-transformed background are described by the Green-Schwarz action for strings in the initial background subject to twisted boundary conditions. Our construction implies that a TsT transformation preserves integrability properties of the string sigma model. We discuss in detail type IIB strings propagating in the ?i-deformed AdS5?S5 space-time, find the twisted boundary conditions for bosons and fermions, and use them to write down an explicit expression for the monodromy matrix. We also discuss string zero modes whose dynamics is governed by a fermionic generalization of the integrable Neumann model.
Author: FROLOV, SERGEY
Publisher:Institute of Physics
Type of material:Journal Article
Series/Report no:Journal of High Energy Physics;
Availability:Full text available