Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-01-19
Int.J.Mod.Phys.A26:4785-4816,2011; Int.J.Mod.Phys.A.27:1292003,2012
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, version reflecting the erratum. arXiv admin note: substantial text overlap with arXiv:1102.4608
Scientific paper
We construct a model of M-theory vacua using gauged S-duality and the Chan-Paton symmetries by introducing an infinite number of open string charges. In the Bechi-Rouet-Stora-Tyutin formalism, the local description of the gauged S-duality on its moduli space of vacua is fully determined by one physical state condition on the vacua. We introduce the string probe of the spatial degrees of freedom and define the increment of the cosmic time. The dimensionality of space-time and the gauge group of the low energy effective theory originate in the symmetries (with or without their breakdown) in our model. This modeling leads to the derived category formulation of the quantum mechanical world including gravity and to the concept of a non-linear potential of gauged and affinized S-duality which specifies the morphism structure of this derived category.
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