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

@article{IJack2008OneloopDI, title={One-loop divergences in the two-dimensional non-anticommutative supersymmetric sigma-model}, author={I.Jack and Robert Purdy}, journal={arXiv: High Energy Physics - Theory}, year={2008} }

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 them to reproduce the classical action. We then compute the one-loop quantum corrections and express them in a more compact form using the differential operators.

## 7 Citations

### The non-anticommutative supersymmetric U 1 gauge theory

- Physics
- 2009

We discuss the non-anticommutative ( = 1/2) supersymmetric U1 gauge theory in four dimensions, including a superpotential. We perform the one-loop renormalisation of the model, including the complete…

### A renormalisable non-anticommutative supersymmetric SU(N)⊗U(1) gauge theory in components

- Physics
- 2009

We discuss the non-anticommutative ( = 1/2) supersymmetric SU(N)⊗U(1) gauge theory including a superpotential. We show how recent proposals for obtaining a renormalisable version of the theory may be…

### The non-anticommutative supersymmetric Wess-Zumino model

- Physics
- 2009

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

### Renormalisation of the non-anticommutativity parameter at two loops

- Physics
- 2011

We present evidence that the non-anticommutativity parameter for the $ \mathcal{N} = \frac{1}{2} $ supersymmetric SU(N) ⊗ U(1) gauge theory is unrenormalised through two loops.

### Open strings in the system D5/D9

- Physics
- 2011

We construct the six-dimensional Lagrangian for the massless twisted open strings with one end-point ending on a stack of D5 and the other on a stack of D9 branes, interacting with the gauge…

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

- Mathematics, Physics
- 2009

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…

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