Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-17
Phys.Rev.D76:126013, 2007; Phys.Rev.D76:126013,2007
Physics
High Energy Physics
High Energy Physics - Theory
Typos corrected, references added. A version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.76.126013
We construct a supersymmetric version of the ``critical'' non-relativistic bosonic string theory\cite{Kim:2007hb} with its manifest global symmetry. We introduce the anticommuting $bc$ CFT which is the super partner of the $\beta\gamma$ CFT. The conformal weights of the $b$ and $c$ fields are both 1/2. The action of the fermionic sector can be transformed into that of the relativistic superstring theory. We explicitly quantize the theory with manifest SO(8) symmetry and find that the spectrum is similar to that of Type IIB superstring theory. There is one notable difference: the fermions are non-chiral. We further consider ``noncritical'' generalizations of the supersymmetric theory using the superspace formulation. There is an infinite range of possible string theories similar to the supercritical string theories. We comment on the connection between the critical non-relativistic string theory and the lightlike Linear Dilaton theory.
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