N=2 symplectic reparametrizations in a chiral background

TL;DR

This paper investigates symplectic reparametrizations in N=2 supersymmetric vector multiplet theories with a chiral background, highlighting an anomaly between symplectic covariance and holomorphy.

Contribution

It analyzes the structure of symplectic reparametrizations in the presence of a chiral background and discusses the resulting anomaly.

Findings

Identification of symplectic reparametrizations in the theory

Discovery of an anomaly between symplectic covariance and holomorphy

Implications for the consistency of N=2 supersymmetric theories

Abstract

We study the symplectic reparametrizations that are possible for theories of N=2 supersymmetric vector multiplets in the presence of a chiral background and discuss some of their consequences. One of them concerns an anomaly arising from a conflict between symplectic covariance and holomorphy.