Double space T dualization and coordinate dependent RR field

Abstract

In this article, we examine T dualization in the double space formalism of type II superstring theory in pure spinor formulation. All background fields are constant except the Ramond-Ramond field, which depends infinitesimally on bosonic coordinates xμ. In double space, T dual transformations are represented as permutations of the starting xμ and dual coordinates yμ. Combining these two sets of coordinates into the double coordinate ZM=(xμ,yμ), while demanding that the T dual double coordinate has the same T dual transformation law as the initial ones, we obtain how background fields transform under T duality. Comparing these results with ones obtained using the Buscher T dualization procedure, we conclude that these two approaches are equivalent for the considered choice of the background fields. Published by the American Physical Society 2024