A matrix model for heterotic Spin(32)/ Z2 and type I string theory
Abstract
We consider heterotic string theories in the DLCQ. We derive that the matrix model of the Spin(32)/ Z2 heterotic theory is the theory living on N D-strings in type I wound on a circle with no Spin(32)/ Z2 Wilson line on the circle. This is an O( N) gauge theory. We rederive the matrix model for the E8 × E8 heterotic string theory, explicitly taking care of the Wilson line around the lightlike circle. The result is the same theory as for Spin(32)/ Z2 except that now there is a Wilson line on the circle. We also see that the integer N labeling the sector of the O( N) matrix model is not just the momentum around the lightlike circle, but a shifted momentum depending on the Wilson line. We discuss the aspect of level matching, GSO projections and why, from the point of view of matrix theory the E8 × E8 theory, and not the Spin(32)/ Z2, develops an 11th dimension for strong coupling. Furthermore a matrix theory for type I is derived. This is again the O( N) theory living on the D-strings of type I. For small type I coupling the system is 0+1-dimensional quantum mechanics.
- Publication:
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Nuclear Physics B
- Pub Date:
- February 1999
- DOI:
- 10.1016/S0550-3213(98)00717-2
- arXiv:
- arXiv:hep-th/9801034
- Bibcode:
- 1999NuPhB.541...87K
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 11pp harvmac TeX