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Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions

Ido Adam·Amit Dekel·Luca Mazzucato·Yaron Oz
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Abstract

We consider type II superstrings on AdS backgrounds with Ramond-Ramond flux in various dimensions. We realize the backgrounds as supercosets and analyze explicitly two classes of models: non-critical superstrings on AdS_{2d} and critical superstrings on AdS_p\times S^p\times CY. We work both in the Green--Schwarz and in the pure spinor formalisms. We construct a one-parameter family of flat currents (a Lax connection) leading to an infinite number of conserved non-local charges, which imply the classical integrability of both sigma-models. In the pure spinor formulation, we use the BRST symmetry to prove the quantum integrability of the sigma-model. We discuss how classical κ-symmetry implies one-loop conformal invariance. We consider the addition of space-filling D-branes to the pure spinor formalism.

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Ido Adam, Amit Dekel, Luca Mazzucato, Yaron Oz. 2007-09-26. Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions. https://doi.org/10.1088/1126-6708%2F2007%2F06%2F085

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