Quadratic alpha' corrections to T-duality

TL;DR

This paper calculates quadratic alpha' corrections to T-duality in two-dimensional black holes and extends these results to general time-dependent backgrounds in bosonic string theory.

Contribution

It provides the first explicit computation of quadratic alpha' corrections to T-duality for specific black hole backgrounds and general time-dependent backgrounds.

Findings

Quadratic alpha' corrections to T-duality are explicitly derived for 2D black holes.

A covariant form of these corrections is formulated for general time-dependent backgrounds.

Results enhance understanding of string dualities beyond leading order.

Abstract

The quadratic alpha' corrections to the two-dimensional black hole and to its T-dual are calculated. These backgrounds are used to write the covariant form of the quadratic alpha' corrections to the T-duality for general time-dependent backgrounds of dilaton and diagonal metric in the bosonic string theory.