T-duality of D-brane action at order $\alpha'$ in bosonic string theory

TL;DR

This paper investigates how T-duality transformations of D-branes in bosonic string theory are corrected at order alpha', ensuring consistency with string scattering amplitudes.

Contribution

It derives the corrected B-field and dilaton couplings on D-branes at order alpha' using T-duality consistency, aligning with string S-matrix results.

Findings

T-duality rules receive quantum corrections at order alpha'

Derived consistent B-field and dilaton couplings on D-branes

Confirmed couplings match disk-level S-matrix elements

Abstract

In bosonic string theory, it is known that the Buscher rules for the T-duality transformations receive quantum corrections at order $\alpha'$. In this paper, we use the consistency of the gravity couplings on the D-brane effective action at order $\alpha'$, with the above T-duality transformations to find the B-field and the dilaton couplings. We show that these couplings are fully consistent with the corresponding disk-level S-matrix elements in string theory.