Word-sheet corrections to dyons in string theories: A laboratory for the strong OSV conjecture

TL;DR

This paper investigates the structure of cubic alpha-prime corrections in string theory backgrounds, demonstrating that these corrections cannot be expressed solely through a modified Riemann tensor involving torsion, highlighting limitations in current formulations.

Contribution

It provides explicit computations showing the failure of expressing cubic alpha-prime corrections via a modified Riemann tensor with torsion, challenging previous assumptions.

Findings

Cubic alpha-prime corrections cannot be written in terms of the modified Riemann tensor with torsion.

Explicit calculations confirm the triviality of such reformulations.

Results impact the understanding of string theory corrections and the strong OSV conjecture.

Abstract

The explicit computation of arXiv:hep-th/0112157 and arXiv:hep-th/0108106 prove that all the cubic alpha-prime corrections to the backgrounds composed of metric, NS two-form and dilaton can not be written in term of the modified Riemann tensor where the field strength of the NS two form plays the role of torsion. So the outcome of this writing has been trivial.