Canonical pure spinor (Fermionic) T-duality

TL;DR

This paper demonstrates that fermionic T-duality can be understood as a canonical transformation in phase space, extending the approach to include Ramond--Ramond backgrounds within the pure spinor formalism.

Contribution

It introduces a canonical transformation perspective for fermionic T-duality and extends the method to Ramond--Ramond backgrounds in pure spinor formalism.

Findings

Fermionic T-duality is a canonical transformation in phase space.

Extension of bosonic T-duality to include Ramond--Ramond backgrounds.

Framework applicable within the pure spinor formalism.

Abstract

We establish that the recently discovered fermionic T-duality can be viewed as a canonical transformation in phase space. This requires a careful treatment of constrained Hamiltonian systems. Additionally, we show how the canonical transformation approach for bosonic T-duality can be extended to include Ramond--Ramond backgrounds in the pure spinor formalism.