Simultaneous T-dualization of type II pure spinor superstring

Nikolić, B. (Aff1, 0000 0001 2166 9385, grid.7149.b, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, Belgrade, Serbia) ; Sazdović, B. (Aff1, 0000 0001 2166 9385, grid.7149.b, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, Belgrade, Serbia)

27 December 2018

Abstract: In this article we consider simultaneous T-dualization of the type II superstring action in a pure spinor formulation. Simultaneous T-dualization means that we make T-dualization at the same time along some subset of initial coordinates denoted by xa . The only imposed assumption stems from the applicability of the Buscher T-dualization procedure—background fields do not depend on the dualized directions xa . In this way we obtain the full form of the T-dual background fields and T-dual transformation laws. Because the two chiral sectors transform differently, there are two sets of vielbeins and gamma matrices connected by a local Lorentz transformation. Its spinorial representation is the same as in the constant background case. We also found the full expression for the T-dual dilaton field.


Published in: EPJC 78 (2018) 1030
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-018-6504-7
License: CC-BY-3.0



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