Abstract:
The Higher YM theories generalize these of the standard model of particles. From the string theory side, the geometrical constructions of gerbes appear, when describing non-vanishing BB-fields on branes. Both, higher YM and gerbes are proved to be the same mathematical object. Thus, a natural candidate for the intermediate stage of the compactification in string theory appears. Moreover, replacing smooth 2-spaces by some categories of smooth topoi gives rise to the generalized spacetime based on topoi.
  • 11.15.-q
  • 02.10.-v
  • string model
  • gauge field theory: Yang-Mills
  • compactification
  • space-time
  • higher-dimensional