The authors build a heterotic nonrelativistic string sigma model, show it defines heterotic string theory in DLCQ via T-duality, and recover the relativistic heterotic string through a current-current deformation.
Quaternions and M(atrix) theory in spaces with boundaries
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abstract
A proposal for the matrix model formulation of the M-theory on a space with a boundary is given. A general machinery for modding out a symmetry in M(atrix) theory is used for a Z_2 symmetry changing the sign of the X_1 coordinate. The construction causes the elements of matrices to be equivalent to real numbers or quaternions and the symmetry U(2N) of the original model is reduced to O(2N) or USp(2N)=U(N,H). We also show that membranes end on the boundary of the spacetime correctly in this construction.
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Heterotic String Sigma Models: Discrete Light Cone Quantization and Its Current-Current Deformation
The authors build a heterotic nonrelativistic string sigma model, show it defines heterotic string theory in DLCQ via T-duality, and recover the relativistic heterotic string through a current-current deformation.