T-dualization of type II superstring theory in double space

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2017-03, Vol.77 (3), p.1-16, Article 197
• Main Authors: Nikolic, B, Sazdovic, B
• Format: Article
• Language: English
• Subjects: Analysis; Astronomy; Astrophysics and Cosmology; Elementary Particles; Field strength; Hadrons; Heavy Ions; Laws, regulations and rules; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Permutations; Physicists; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Supersymmetry
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-017-4758-0

In this article we offer a new interpretation of the T-dualization procedure of type II superstring theory in the double space framework. We use the ghost free action of type II 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 μ , y μ ) . Requiring that the T-dual transformation law after the exchange x a ↔ y a has the same form as the 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. The compatibility between supersymmetry and T-duality produces a change of bar spinors and R–R field strength. If we dualize an odd number of dimensions x a , such a change flips type IIA/B to type II B/A. If we T-dualize the time-like direction, one imaginary unit i maps type II superstring theories to type II ⋆ ones.