The generalized Bergshoeff-de Roo identification II

TL;DR

This paper extends a T-duality covariant framework to include a two-parameter family of higher-derivative corrections, computing the full second order Double Field Theory for heterotic, bosonic, and HSZ strings.

Contribution

It introduces a generalized formalism that encompasses multiple string theories and computes the complete second order DFT with new transformations and invariant actions.

Findings

Derived the full second order DFT for various string theories.

Included the generalized Green-Schwarz transformation.

Unified treatment of heterotic, bosonic, and HSZ theories.

Abstract

We recently introduced a T-duality covariant mechanism to compute all-order higher-derivative interactions in the heterotic string. Here we extend the formalism to account for a two-parameter family of corrections that also include the bosonic string and HSZ theory. We use our result to compute the full second order Double Field Theory (DFT) for generic values of the parameters, including the generalized Green-Schwarz transformation and its invariant action.