Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons

TL;DR

This paper develops a superfield approach to analyze the central charge anomaly in quantum-corrected solitons within two-dimensional N=1 supersymmetric theories, revealing how anomalies affect supermultiplet structures and BPS states.

Contribution

It introduces a superfield formulation that captures the supermultiplet structure and quantum anomalies in soliton theories, providing explicit one-loop effective action calculations.

Findings

Supermultiplet structure remains intact despite quantum corrections.

The topological current acquires a quantum modification via superconformal anomaly.

Explicit one-loop superfield effective action confirms BPS saturation and anomaly effects.

Abstract

A superfield formulation is presented of the central charge anomaly in quantum corrections to solitons in two-dimensional theories with N=1 supersymmetry. Extensive use is made of the superfield supercurrent, that places the supercurrent J^{mu}_{alpha}, energy-momentum tensor Theta^{mu nu} and topological current zeta^{mu} in a supermultiplet, to study the structure of supersymmetry and related superconformal symmetry in the presence of solitons. It is shown that the supermultiplet structure of (J^{mu}_{alpha}, Theta^{mu nu}, zeta^{mu}) is kept exact while the topological current zeta^{\mu} acquires a quantum modification through the superconformal anomaly. In addition, the one-loop superfield effective action is explicitly constructed to verify the BPS saturation of the soliton spectrum as well as the effect of the anomaly.