Monads, Strings, and M Theory

Details Monads, Strings, and M Theory Monads, Strings, and M Theory

1997-06-18

arxiv.org/abs/hep-th/9706130v2

Nucl.Phys. B520 (1998) 229-260

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, TeX, harvmac, minor corrections with added reference

Scientific paper

10.1016/S0550-3213(98)00047-9

The recent developments in string theory suggest that the space-time coordinates should be generalized to non-commuting matrices. Postulating this suggestion as the fundamental geometrical principle, we formulate a candidate for covariant second quantized RNS superstrings as a topological field theory in two dimensions. Our construction is a natural non-Abelian extension of the RNS string. It also naturally leads to a model with manifest 11-dimensional covariance, which we conjecture to be a formulation of M theory. The non-commuting space-time coordinates of the strings are further generalized to non-commuting anti-symmetric tensors. The usual space-time picture and the free superstrings appear only in certain special phases of the model. We derive a simple set of algebraic equations, which determine the moduli space of our model. We test some aspects of our conjectual M theory for the case of compactification on $T^2$.

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