Recovery of full N=1 supersymmetry in non (anti-) commutative superspace

@article{Sako2004RecoveryOF,
  title={Recovery of full N=1 supersymmetry in non (anti-) commutative superspace},
  author={Akifumi Sako and Toshiya Suzuki},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={2004},
  pages={010-010}
}
We investigate SUSY of Wess-Zumino models in non(anti-)commutative euclidean superspaces. Non(anti-)commutative deformations break 1/2 SUSY, then non(anti-)commutative Wess-Zumino models do not have full SUSY in general. However, we can recover full SUSY at specific coupling constants satisfying some relations. We give a general way to construct full SUSY non(anti-)commutative Wess-Zumino models. For a some example, we investigate quantum corrections and ?-functions behavior. 
View PDF on arXiv
7 Citations

7 Citations

Non(anti)commutative = (1,1/2) supersymmetric U(1) gauge theory

We study a reduction of deformation parameters in non(anti)commutative = 2 harmonic superspace to those in non(anti)commutative = 1 superspace. By this reduction we obtain the exact gauge and…

Central charges in non(anti)commutative N = 2 supersymmetric U(N) gauge theory

N=2 σ-model action on non(anti)commutative superspace

Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction

We study an extension of the ADHM construction to give deformed anti-self-dual (ASD) instantons in = 1/2 super Yang-Mills theory with U(n) gauge group. First we extend the exterior algebra on…

Gauged Wess-Zumino model in noncommutative Minkowski superspace

We develop a gauged Wess–Zumino model in noncommutative Minkowski superspace. This is the natural extension of the work of Carlson and Nazaryan, which extended N=1∕2 supersymmetry written over…

Multifractal analysis of the symmetry of a strictly isospectral energy landscape on a square lattice

Yellow resistant photosensitive resin for digital light processing 3D printing

References

SHOWING 1-10 OF 61 REFERENCES

On the Seiberg–Witten map of N=2 SYM theory in non(anti)commutative harmonic superspace

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…

BPS-type equations in the non-anticommutative N=2 supersymmetric U(1) gauge theory ☆

Non(anti)commutative superspace

We investigate the most general non(anti)commutative geometry in N = 1 four-dimensional superspace, invariant under the classical (i.e., undeformed) supertranslation group. We find that a nontrivial…

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…

N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace

We study N=2 supersymmetric U(1) gauge theory in the noncommutative harmonic superspace with nonanticommutative fermionic coordinates. We examine the gauge transformation which preserves the…

Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation

Renormalizability of non(anti)commutative gauge theories with Script N = 1/2 supersymmetry

Non(anti)commutative gauge theories are supersymmetric Yang-Mills and matter system defined on a deformed superspace whose coordinates obey non(anti)commutative algebra. We prove that these theories…

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…

Singlet Deformation and Non(anti)commutative N = 2 Supersymmetric U(1) Gauge Theory

...