Eur. Phys. J. C (2011) 71: 1595
https://doi.org/10.1140/epjc/s10052-011-1595-4

Regular Article - Theoretical Physics

T-duality for string in Hořava–Lifshitz gravity

¹ Department of Theoretical Physics and Astrophysics, Faculty of Science, Masaryk University, Kotlářská 2, 611 37, Brno, Czech Republic
² Theory Division, Physics Department, CERN, 1211, Geneva 23, Switzerland
³ Department of Physics and Meteorology & Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur, 721 302, India

^* e-mail: klu@physics.muni.cz

Received: 14 January 2011
Revised: 3 February 2011
Published online: 22 March 2011

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 the 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.