A Cohomological approach to the nonAbelian Seiberg-Witten map

May, 2001
18 pages
Published in:
  • JHEP 06 (2001) 047
e-Print:
Report number:
  • LBNL-48161,
  • UCB-PTH-01-20

Citations per year

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Abstract:
We present a cohomological method for obtaining the non-Abelian Seiberg-Witten map for any gauge group and to any order in theta. By introducing a ghost field, we are able to express the equations defining the Seiberg-Witten map through a coboundary operator, so that they can be solved by constructing a corresponding homotopy operator.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • Seiberg-Witten map
  • differential geometry: noncommutative
  • cohomology
  • ghost
  • transformation: Becchi-Rouet-Stora