Background Field Equations for the Duality Symmetric String

TL;DR

This paper derives background field equations for T-duality symmetric string theories with doubled target space, showing their equivalence to standard string sigma model equations by analyzing beta-functionals.

Contribution

It introduces a method to obtain background equations in doubled target space formalisms, establishing their equivalence with traditional string theory equations.

Findings

Derived background field equations for doubled target space

Proved equivalence with standard string sigma model equations

Provided a framework for T-duality symmetric string backgrounds

Abstract

This paper describes the background field equations for strings in T-duality symmetric formalisms in which the dimension of target space is doubled and the sigma model supplemented with constraints. These are calculated by demanding the vanishing of the beta-functional of the sigma model couplings in the doubled target space. We demonstrate the equivalence with the background field equations of the standard string sigma model.