T-dualization of type IIB superstring theory in double space

Bojan Nikolić, Branislav Sazdović

Published 2015-05-22Version 1

In this article we offer the new interpretation of T-dualization procedure of type IIB superstring theory in double space framework. We use the ghost free action of type IIB superstring in pure spinor formulation in approximation of constant background fields up to the quadratic terms. T-dualization along any subset of the initial coordinates, $x^a$, is equivalent to the permutation of this subset with subset of the corresponding T-dual coordinates, $y_a$, in double space coordinate $Z^M=(x^\mu,y_\mu)$. Demanding that the T-dual transformation law after exchange $x^a\leftrightarrow y_a$ has the same form as initial one, we obtain the T-dual NS-NS and NS-R background fields. The T-dual R-R field strength is determined up to one arbitrary constant under some assumptions.