Supersymmetry and the Systematics of T-duality Rotations in Type-II Superstring Theories

TL;DR

This paper develops a systematic method to analyze T-duality transformations in type-II superstring theories, focusing on their effects on fermions and R-R fields, and introduces a Clifford multiplication framework for D-brane couplings.

Contribution

It presents a formalism based on space-time supersymmetry to study T-duality actions on fermions and R-R fields, and describes non-Abelian D-brane couplings via Clifford multiplication.

Findings

T-duality group actions on fermions and R-R fields are systematically characterized.

Non-Abelian D-brane charges couple to R-R potentials through Clifford multiplication.

The formalism enhances understanding of T-duality effects in superstring theory.

Abstract

We describe a systematic method of studying the action of the T-duality group O(d,d) on space-time fermions and R-R field strengths and potentials in type-II string theories, based on space-time supersymmetry. The formalism is then used to show that the couplings of non-Abelian D-brane charges to R-R potentials can be described by an appropriate Clifford multiplication.