SYMMETRIES OF THE DIMENSIONALLY REDUCED STRING EFFECTIVE ACTION

TL;DR

This paper derives a two-dimensional string effective action from the ten-dimensional heterotic string and demonstrates it admits an infinite sequence of nonlocal conserved currents, revealing deep symmetry structures.

Contribution

It presents a dimensional reduction of heterotic string theory and uncovers an infinite hierarchy of nonlocal conserved currents in the resulting model.

Findings

Derivation of a 2D string effective action from 10D heterotic string.

Identification of an infinite sequence of nonlocal conserved currents.

Revealing symmetry structures in the reduced model.

Abstract

A two dimensional string effective action is obtained by dimensionally reducing the bosonic part of the ten dimensional heterotic string effective action. It is shown that this effective action, with a few restrictions on some backgrounds describes a two dimensional model which admits an infinite sequence of nonlocal conserved currents.