Simultaneous Bosonic and Fermionic T‐Dualization of the Type II Superstring Theory—Buscher Approach and Double Space Representation

Key Points

The study demonstrates that bosonic and fermionic T-dualization commute, simplifying complex transformations.
Key evidence includes the establishment of T-dual transformation laws for dualization procedures.
Analysis employs the pure spinor formulation, incorporating constant background fields throughout the process.
Findings highlight the equivalence of the Buscher procedure and the double space representation in T-dualization.

Abstract

Abstract In this article I consider type II superstring in the pure spinor formulation with constant background fields in the context of T‐dualization. First, I prove that bosonic and fermionic T‐dualization commute using already known T‐dual transformation laws for bosonic and fermionic T‐dualization. Consequently, the T‐dual transformation laws of the full T‐dualization are obtained. At the end, the full T‐dualization is realized in double space and it is showed that Buscher procedure and double space approach are equivalent in this specific case.

Simultaneous Bosonic and Fermionic T‐Dualization of the Type II Superstring Theory—Buscher Approach and Double Space Representation

Key Points

Abstract

Cite This Study