# Vanishing Next-to-Leading Corrections to the β-Function of the SUSY CPN−1 Model in Three Dimensions

@article{Inami2000VanishingNC, title={Vanishing Next-to-Leading Corrections to the $\beta$-Function of the SUSY CPN−1 Model in Three Dimensions}, author={Takeo Inami and Yorinori Saito and Masayoshi Yamamoto}, journal={Progress of Theoretical Physics}, year={2000}, volume={103}, pages={1283-1288} }

We study the ultraviolet properties of the supersymmetric CP N�1 sigma model in three dimensions to next-to-leading order in the 1/N expansion. We calculate the β-function to this order and verify that it has no next-to-leading order corrections. 1. Introduction The supersymmetric CP N −1 sigma model in low dimensions has many interesting features. In two dimensions this model shares a few physical properties with supersymmetric gauge theories in four dimensions. 1), 2) Namely, perturbatively…

## 8 Citations

### The supersymmetric (2 + 1)D noncommutative CP(N−1) model in the fundamental representation

- Mathematics, Physics
- 2006

In this paper, we study the noncommutative supersymmetric CP(N−1) model in 2 + 1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint…

### Superfield formalism for the one loop effective action and CP(N) model in three dimensions

- Physics
- 2003

To obtain the one loop effective action for a given superfield theory, one encounters the notion such as the `supertrace' of a differential operator on superspace. We develop, in a systematic way for…

### CANCELLATION OF UV DIVERGENCES IN THE ${\mathcal N} = 4$ SUSY NONLINEAR SIGMA MODEL IN THREE DIMENSIONS

- Physics
- 2001

We study the uv properties of the three-dimensional SUSY nonlinear sigma model whose target space is T*(CPN-1) (the cotangent bundle of CPN-1) to higher orders in the 1/N expansion. We calculate the…

### Supersymmetric CPN sigma model on noncommutative superspace

- Physics, Computer Science
- 2004

A closed form of the action of the supersymmetric CP N sigma model on noncommutative superspace in four dimensions is constructed and it is shown that this model has N = 1/2 supersymmetry and that the transformation law is not modified.

### Dynamical generation of mass in the noncommutative supersymmetric Schwinger model

- Physics
- 2012

Within the superfield formalism, we study the dynamical generation of mass to the gauge superfield in the noncommutative two-dimensional supersymmetric Schwinger model. We show that the radiatively…

### Quebra de simetria de calibre no modelo de Chern-Simons supersimétrico

- Physics
- 2008

Within the superfield formalism, we study the ultraviolet properties of the threedimensional supersymmetric quantum electrodynamics. The theory is shown to be finite at all loops orders in a…

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