Authors: Alessandra Cagnazzo Dmitri Sorokin Linus Wulff
Publish Date: 2012/01/03
Volume: 2012, Issue: 1, Pages: 4-
Abstract
In this paper we continue the study initiated in 1 2 of the classical integra bility of GreenSchwarz superstrings in AdS4 × CP 3 and AdS2 × S 2 × T 6 superbackgrounds whose spectrum contains nonsupercoset worldsheet degrees of freedom corresponding to broken supersymmetries in the bulk We derive an explicit expression to all orders in the coset fermions and to second order in the noncoset fermions which extends the su percoset Lax connection in these backgrounds with terms depending on the noncoset fermions An important property of the obtained form of the Lax connection is that it is invariant under mathbbZ 4 transformations of the superisometry generators and the spectral pa rameter This demonstrates that the contribution of the noncoset fermions does not spoil the mathbbZ 4 symmetry of the supercoset Lax connection which is of crucial importance for the application of Betheansatz techniques The expressions describing the AdS4 × CP 3 and AdS2 × S 2 × T 6 superstring sigmamodels and their Lax connections have a very similar form This is because their amount of targetspace supersymmetries complement each other to 32 = 24 + 8 the maximal number of 10 d type II supersymmetries As a byproduct this similarity has allowed us to obtain the form of the geometry of the complete type IIA AdS2 × S 2 × T 6 superspace to all orders in the coset fermions and to the second order in the noncoset ones
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