T-duality of Non-Relativistic String in Torsional Newton-Cartan Background

TL;DR

This paper investigates how non-relativistic strings behave under T-duality transformations within Torsional Newton-Cartan backgrounds, establishing conditions for the string to remain non-relativistic after duality.

Contribution

It provides the first analysis of T-duality for non-relativistic strings in Torsional Newton-Cartan backgrounds and identifies the conditions for their self-mapping.

Findings

Derived conditions for non-relativistic strings to map to themselves under T-duality

Analyzed T-duality properties specific to Torsional Newton-Cartan backgrounds

Established criteria ensuring non-relativistic nature post T-duality

Abstract

In this short note we analyse T-duality properties of non-relativistic String in Torsional Newton-Cartan Background. We also determine condition that ensures that non-relativistic string maps to non-relativistic string under T-duality.