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arXiv · hep-th/9706130

Monads, Strings, and M Theory

Christiaan Hofman·Jae-Suk Park
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Abstract

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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Christiaan Hofman, Jae-Suk Park. 1997-06-24. Monads, Strings, and M Theory. https://doi.org/10.1016/s0550-3213(98)00047-9

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