D-Branes in Noncommutative Field Theory

  title={D-Branes in Noncommutative Field Theory},
  author={Richard J Szabo},
  journal={arXiv: High Energy Physics - Theory},
  • R. J. Szabo
  • Published 5 December 2005
  • Physics
  • arXiv: High Energy Physics - Theory
A mathematical introduction to the classical solutions of noncommutative field theory is presented, with emphasis on how they may be understood as states of D-branes in Type II superstring theory. Both scalar field theory and gauge theory on Moyal spaces are extensively studied. Instantons in Yang-Mills theory on the two-dimensional noncommutative torus and the fuzzy sphere are also constructed. In some instances the connection to D-brane physics is provided by a mapping of noncommutative… 

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