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Paper   IPM / P / 8020
School of Physics
  Title:   Nonanticommutative Deformation of N=4 SYM Theory: the Myers Effect and Vacuum States
  Author(s): 
1.  R. Abbaspur
2.  A. Imaanpur
  Status:   Published
  Journal: JHEP
  Vol.:  01
  Year:  2006
  Pages:   017
  Supported by:  IPM
  Abstract:
We propose a deformation of N=4 SYM theory 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.

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