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Chiral models in noncommutative N = 1/2 four dimensional superspace,” Phys
 Rev. D
, 2003
"... We derive the component Lagrangian for a generic N = 1/2 supersymmetric chiral model with an arbitrary number of fields in four spacetime dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed potential near the origin of the field space in a way whic ..."
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We derive the component Lagrangian for a generic N = 1/2 supersymmetric chiral model with an arbitrary number of fields in four spacetime dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed potential near the origin of the field space in a way which suggests possible physical applications.
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.
N = 1/2 Super YangMills Theory on Euclidean
, 2004
"... We study Dbranes in the background of Euclidean AdS2×S 2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both selfdual and antiselfdual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there ex ..."
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We study Dbranes in the background of Euclidean AdS2×S 2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both selfdual and antiselfdual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there exists a limit for which one can restore half of the supersymmetries. Further, we show that in this limit, the N = 1/2 SYM Lagrangian on flat space can be lifted on to the Euclidean AdS2 × S 2 preserving the same amount of supersymmetries as in the flat case. We observe that without the Cdependent terms present in the action this lift is not possible. 1 1
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
Nonanticommutative Deformation of N = 4 SYM Theory: The Myers Effect and Vacuum States
, 2005
"... We propose a deformation of 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 D3branes in the presence of a fiveform RR flux. We take this as an indication that the deformed ..."
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We propose a deformation of 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 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 two sphere. 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 graviphoton 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
OF N=(1,1) GAUGE THEORY
, 2004
"... We study the SO(4)×SU(2) invariant Qdeformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0) supersymmetry. The action of the deformed gauge theory is an integral ove ..."
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We study the SO(4)×SU(2) invariant Qdeformation of Euclidean N=(1,1) gauge theories in the harmonic superspace formulation. This deformation preserves chirality and Grassmann harmonic analyticity but breaks N=(1,1) to N=(1,0) supersymmetry. The action of the deformed gauge theory is an integral over the chiral superspace, and only the purely chiral part of the covariant superfield strength contributes to it. We give the component form of the N=(1,0) supersymmetric action for the gauge groups U(1) and U(n>1). In the U(1) and U(2) cases, we find the explicit nonlinear field redefinition (SeibergWitten map) relating the deformed N=(1,1) gauge multiplet to the undeformed one. This map exists in the general U(n) case as well, and we use this fact to argue that the deformed U(n) gauge theory can be nonlinearly reduced to a theory with the gauge group SU(n). 1 Currently, deformations of supersymmetric field theories (for a review see [1]) are under
on the Deformed Superspace IR (416)
, 2004
"... It has been known for quite some time that the N = 4 super YangMills equations defined on fourdimensional Euclidean space are equivalent to certain constraint equations on the Euclidean superspace IR (416). In this paper we consider the constraint equations on a canonically deformed superspace IR ..."
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It has been known for quite some time that the N = 4 super YangMills equations defined on fourdimensional Euclidean space are equivalent to certain constraint equations on the Euclidean superspace IR (416). In this paper we consider the constraint equations on a canonically deformed superspace IR (416) ¯h and derive the deformed super YangMills equations. In showing this, we propose a supersymmetric generalization of the SeibergWitten map.
Department of Theoretical Physics, Tomsk State Pedagogical University,
, 2006
"... hepth/0608048 Vectormultiplet effective action in the nonanticommutative charged hypermultiplet model ..."
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hepth/0608048 Vectormultiplet effective action in the nonanticommutative charged hypermultiplet model