Nonanticommutative deformation of N=4 SYM theory: The Myers effect and vacuum states

Sep, 2005
14 pages
Published in:
  • JHEP 01 (2006) 017
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Abstract:
We propose a deformation of N=4{\cal N}=4 SYM theoery induced by nonanticommutative star product. The deformation introduces new bosonic terms which we identify with the corresponding Myers terms of a stack of D3-branes in the presence of a five-form RR flux. We take this as an indication that the deformed lagrangian describes D3-branes in such a background. The vacuum states of the theory are also examined. In a specific case where the U(1) part of the gauge field is nonvanishing the (anti)holomorphic transverse coordinates of the brane sit on a fuzzy two sphere. For a supersymmetric vacuum the antiholomorphic coordinates must necessarily commute. However, we also encounter non-supersymmetric vacua for which the antiholomorphic coordinates do not commute.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • background field
  • membrane model: D-brane
  • differential geometry: noncommutative
  • field theory: deformation
  • vacuum state
  • Myers effect
  • sphere: fuzzy