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arXiv · 1405.6087

Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux

Andrei Babichenko·Amit Dekel·Olof Ohlsson Sax
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Abstract

We study superstrings on AdS_3 x S^3 x T^4 supported by a combination of Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz three form fluxes, and construct a set of finite-gap equations that describe the classical string spectrum. Using the recently proposed all-loop S-matrix we write down the all-loop Bethe ansatz equations for the massive sector. In the thermodynamic limit the Bethe ansatz reproduces the finite-gap equations. As part of this derivation we propose expressions for the leading order dressing phases. These phases differ from the well-known Arutyunov-Frolov-Staudacher phase that appears in the pure Ramond-Ramond case. We also consider the one-loop quantization of the algebraic curve and determine the one-loop corrections to the dressing phases. Finally we consider some classical string solutions including finite size giant magnons and circular strings.

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Andrei Babichenko, Amit Dekel, Olof Ohlsson Sax. 2014-06-04. Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux. https://doi.org/10.1007/jhep11(2014)122

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