Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model

TL;DR

This paper studies the quantum properties of a charged hypermultiplet in a deformed superspace, demonstrating renormalizability, calculating the low-energy effective action, and analyzing the deformation effects on mass and central charge.

Contribution

It introduces a star-modified charged hypermultiplet model in non-anticommutative superspace and proves its renormalizability, providing explicit calculations of the effective action and component deformations.

Findings

Model is renormalizable with divergences proportional to super Yang-Mills action.

Deformed holomorphic potential is obtained as a star-generalization.

Component analysis reveals deformation of mass and central charge.

Abstract

We investigate the quantum aspects of a charged hypermultiplet in deformed N=(1,1) superspace with singlet non-anticommutative deformation of supersymmetry. This model is a "star" modification of the hypermultiplet interacting with a background Abelian vector superfield. We prove that this model is renormalizable in the sense that the divergent part of the effective action is proportional to the N=(1,0) non-anticommutative super Yang-Mills action. We also calculate the finite part of the low-energy effective action depending on the vector multiplet, which corresponds to the (anti)holomorphic potential. The holomorphic piece is just deformed to the star-generalization of the standard holomorphic potential, while the antiholomorphic piece is not. We also reveal the component structure and find the deformation of the mass and the central charge.