Nonrelativistic closed string theory
Abstract
We construct a Galilean invariant nongravitational closed string theory whose excitations satisfy a nonrelativistic dispersion relation. This theory can be obtained by taking a consistent low energy limit of any of the conventional string theories, including the heterotic string. We give a finite first order worldsheet Hamiltonian for this theory and show that this string theory has a sensible perturbative expansion, interesting high energy behavior of scattering amplitudes and a Hagedorn transition of the thermal ensemble. The strong coupling duals of the Galilean superstring theories are considered and are shown to be described by an elevendimensional Galilean invariant theory of light membrane fluctuations. A new class of Galilean invariant nongravitational theories of lightbrane excitations are obtained. We exhibit dual formulations of the strong coupling limits of these Galilean invariant theories and show that they exhibit many of the conventional dualities of M theory in a nonrelativistic setting.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 2001
 DOI:
 10.1063/1.1372697
 arXiv:
 arXiv:hepth/0009181
 Bibcode:
 2001JMP....42.3127G
 Keywords:

 11.25.Db;
 11.30.Pb;
 11.55.Fv;
 Properties of perturbation theory;
 Supersymmetry;
 Dispersion relations;
 High Energy Physics  Theory
 EPrint:
 36 pages, harvmac