Superisometries and integrability of superstrings

Abstract

For type II supergravity backgrounds with superisometries the corresponding transformations and conserved currents for the superstring are constructed up to fourth order in Θ. It is then shown how, for certain backgrounds related to near horizon geometries of intersecting branes, the components of the superisometry current can be used to construct a Lax connection demonstrating the classical integrability of the string in these backgrounds. This includes examples of AdS 2 and AdS 3 backgrounds with a D(2, 1; α) isometry group which have not previously been studied from an integrability point of view. The construction of the Lax connection is carried out up to second order in Θ. © 2014 The Author(s).