On nonanticommutative N = 2 sigma-models in two dimensions

@article{AlvarezGaum2005OnNN,
  title={On nonanticommutative N = 2 sigma-models in two dimensions},
  author={Lu{\'i}s Alvarez-Gaum{\'e} and Miguel Angel Vazquez-Mozo},
  journal={Journal of High Energy Physics},
  year={2005},
  volume={2005},
  pages={007}
}
We study nonanticommutative deformations of N = 2 two-dimensional eu- clidean sigma models. We flnd that these theories are described by simple deformations of Zumino's lagrangian and the holomorphic superpotential. Geometrically, this deformation can be interpreted as a fuzziness in target space controlled by the vacuum expectation value of the auxiliary fleld. In the case of nonanticommutative deformations preserving euclidean invariance, we flnd that a continuation of the deformed… 

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

We propose a deformation of = 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

Quantum corrections in 2D SUSY CPN−1 sigma model on noncommutative superspace

We investigate quantum corrections in two-dimensional CPN−1 supersymmetric nonlinear sigma model on noncommutative superspace. We show that this model is renormalizable, the =2 SUSY sector is not

Quantum mechanics in non(anti)commutative superspace

We consider non(anti)commutative (NAC) deformations of d = 1 = 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge

Supersymmetric Nambu-Jona-Lasinio model on = 1/2 four-dimensional non(anti)commutative superspace

We construct the Lagrangian of the = 1 four-dimensional generalized supersymmetric Nambu-Jona-Lasinio (SNJL) model, which has = 1/2 supersymmetry (SUSY) on non(anti)commutative superspace. A special

The non-anticommutative supersymmetric Wess-Zumino model

We discuss the non-anticommutative ( = ½) supersymmetric Wess-Zumino model in four dimensions. Firstly we introduce differential operators which implement the non-anticommutative supersymmetry

Konishi anomaly and central extension in N=1/2 > supersymmetry

One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model

We discuss the structure of the non-anticommutative N=2 non-linear sigma-model in two dimensions, constructing differential operators which implement the deformed supersymmetry generators and using

Nonanticommutative U(1) SYM theories: Renormalization, fixed points and infrared stability

Renormalizable nonanticommutative SYM theories with chiral matter in the adjoint representation of the gauge group have been recently constructed in [arXiv: 0901.3094]. In the present paper we focus

References

SHOWING 1-10 OF 56 REFERENCES

Comments on noncommutative superspace

We study = 1/2 supersymmetric theory on noncommutative superspace which is a deformation of usual superspace. We consider the deformed Wess-Zumino model as an example and show the vanishing of vacuum

Noncommutative superspace, Script N = 1/2 supersymmetry, field theory and string theory

We deform the standard four dimensional = 1 superspace by making the odd coordinates θ not anticommuting, but satisfying a Clifford algebra. Consistency determines the other commutation relations of

Supersymmetry in noncommutative superspaces

Non commutative superspaces can be introduced as the Moyal-Weyl quan- tization of a Poisson bracket for classical superflelds. Difierent deformations are studied corresponding to constant background

Two-loop renormalization for nonanticommutative N = 1/2 supersymmetric WZ model

We study systematically, through two loops, the divergence structure of the supersymmetric WZ model defined on the N = 1/2 nonanticommutative superspace. By introducing a spurion field to represent

D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace

I extend the results of hep-th/0310137 to show that a general classical action for D=2, N=2 sigma models on a non(anti)commutative superspace is not standard and contains infinite number of terms,

N=1/2 Wess-Zumino model is renormalizable.

The Wess-Zumino model on N=1/2 nonanticommutative superspace, which contains the dimension-6 term F3, is shown to be renormalizable to all orders in perturbation theory, upon adding F and F2 terms to

Wilsonian proof for renormalizability of N = 1 / 2 supersymmetric field theories

We provide a Wilsonian proof for the renormalizability of four-dimensional quantum field theories with $\mathcal{N}=1/2$ supersymmetry. We argue that the non-Hermiticity inherent to these theories

Deformed superspace, = 1/2 supersymmetry & (non)renormalization theorems

We consider a deformed superspace in which the coordinates θ do not anticommute, but satisfy a Clifford algebra. We present results on the properties of = 1/2 supersymmetric theories of chiral
...