Superconformal Symmetry in Linear Sigma Model on Supermanifolds

TL;DR

This paper explores superconformal symmetry in a two-dimensional gauged linear sigma model with Grassmann odd superfields, identifying conditions for conformal invariance and constructing related currents.

Contribution

It introduces a novel analysis of superconformal symmetry conditions in models with Grassmann odd superfields and explicitly constructs superconformal currents.

Findings

Identified conditions for superconformal symmetry realization.

Constructed explicit superconformal currents.

Analyzed properties of the resulting conformal field theory.

Abstract

We consider a gauged linear sigma model in two dimensions with Grassmann odd chiral superfields. We investigate the Konishi anomaly of this model and find out the condition for realization of superconformal symmetry on the world-sheet. When this condition is satisfied, the theory is expected to flow into conformal theory in the infrared limit. We construct superconformal currents explicitly and study some properties of this world-sheet theory from the point of view of conformal field theories.