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On the SeibergWitten map of N = 2 SYM theory in Non(anti)commutative Harmonic Superspace
, 2004
"... We consider N = 2 supersymmetric U(1) gauge theory in a nonanticommutative N = 2 harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that gauge transformations act on the component fields in a canonical form (Sei ..."
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We consider N = 2 supersymmetric U(1) gauge theory in a nonanticommutative N = 2 harmonic superspace with the singlet deformation. We generalize analytic superfield and gauge parameter to the nonanticommutative theory so that gauge transformations act on the component fields in a canonical form (SeibergWitten map). This superfield, upon a field redefinition transforms under supersymmetry in a standard way. 1
AdS/CFT Duality for NonAnticommutative Supersymmetric Gauge Theory
 JHEP 0805 (2008) 029 [arXiv:0803.0895 [hepth]]. – 37
"... Abstract: We construct type IIB supergravity duals of nonanticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1, 0) and N = (1/2, 0) supersymmetry. Such theories can be realised on N D3branes in specific selfdual 5form backgrounds. We show t ..."
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Abstract: We construct type IIB supergravity duals of nonanticommutative deformed N = 4 SU(N) gauge theories. We consider in particular deformations preserving N = (1, 0) and N = (1/2, 0) supersymmetry. Such theories can be realised on N D3branes in specific selfdual 5form backgrounds. We show that the required 5form field strengths can be produced by configurations of intersecting D3branes and we are then able to construct the supergravity solutions in the nearhorizon limit. We consider some consequences of this duality, in particular showing that the gravity duals predict that the dimensions of a subset of BPS operators are not modified by the deformation.
IPM/P2005/090 Nonanticommutative Deformation of N = 4 SYM Theory: The Myers Effect and Vacuum States
, 2006
"... 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 D3branes in the presence of a fiveform RR flux. We take this as an indication that the deformed l ..."
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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 D3branes in the presence of a fiveform RR flux. We take this as an indication that the deformed lagrangian describes D3branes 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 twosphere. For a supersymmetric vacuum the antiholomorphic coordinates must necessarily commute. However, we also encounter nonsupersymmetric vacua for which the antiholomorphic The study of supersymmetric Dbranes in the background of a RR flux has revealed new structures on the corresponding superspace. In particular, it turns out that in this background the coordinates of the superspace on the brane do not