T-Duality For String in Horava-Lifshitz Gravity

TL;DR

This paper explores T-duality in Lorentz-breaking string theories within Horava-Lifshitz gravity, demonstrating that T-duality rules are consistent with those of relativistic strings despite Lorentz symmetry breaking.

Contribution

It derives T-duality rules for Lorentz-breaking string theories and shows their equivalence to Buscher's T-duality in relativistic string theory.

Findings

T-duality rules are identical to those in relativistic strings.

Lorentz symmetry breaking does not alter T-duality transformations.

The study extends T-duality concepts to non-Lorentz-invariant string theories.

Abstract

We continue our study of the Lorentz breaking string theories. These theories are defined as string theory with modified Hamiltonian constraint which breaks the Lorentz symmetry of target space-time. We analyze properties of this theory in the target space-time that possesses isometry along one direction. We also derive the T-duality rules for Lorentz breaking string theories and show that they are the same as that of Buscher's T-duality for the relativistic strings.