Quantum mechanics

Non-critical string theory

String (physics)

Theoretical physics

Algorithm

Quantization (signal processing)

Mathematical physics

Relationship between string theory and quantum field theory

Dirac (video compression format)

Quantum gravity

String field theory

Neutrino

Computer science

Instanton

Physics

Heterotic string theory

String duality

Mathematics

Noncommutative geometry

Type I string theory

Worldsheet

Quantum

String cosmology

Dilaton

Computer vision

String theory

Journal of High Energy Physics

A bstract Nonrelativistic open string theory is defined by a worldsheet theory that produces a Galilean invariant string spectrum and is described at low energies by a nonrelativistic Yang-Mills theory [1]. We study T-duality transformations in the path integral for the sigma model that describes nonrelativistic open string theory coupled to an arbitrary closed string background, described by a string Newton-Cartan geometry, Kalb-Ramond, and dilaton field. We prove that T-duality transformations map nonrelativistic open string theory to relativistic and noncommutative open string theory in the discrete light cone quantization (DLCQ), a quantization scheme relevant for Matrix string theory. We also show how the worldvolume dynamics of nonrelativistic open string theory described by the Dirac-Born-Infeld type action found in [1] maps to the Dirac-Born-Infeld actions describing the worldvolume theories of the DLCQ of open string theory and noncommutative open string theory.

T-duality in nonrelativistic open string theory