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

Source: [Superfield formulation of central charge anomalies in two-dimensional supersymmetric theories with solitons](<https://www.sota2.com/research/paper/68fa26482c2a3760193b8805>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:16:52.020Z

Authors: K. Shizuya

Published: 2003-10-21T09:21:08.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/0310198>)

[PDF](<https://arxiv.org/pdf/hep-th/0310198.pdf>)