Dynamics of Two-Dimensional $\mathcal{N}=(2,2)$ Supersymmetric Theories with Semichiral Superfields I

TL;DR

This paper investigates the dynamics of 2D $ abla(2,2)$ supersymmetric gauged linear sigma models with semichiral superfields, revealing that their vacuum structure and low-energy effective twisted superpotential are consistent with models without semichiral superfields.

Contribution

It demonstrates that semichiral superfields do not alter the vacuum structure or contribute to the twisted superpotential in these models.

Findings

Elliptic genus calculations match models without semichiral superfields.

Low energy twisted superpotential vanishes regardless of twisted masses.

Vacuum structure remains unchanged by the inclusion of semichiral superfields.

Abstract

We analyze the dynamics of a general two-dimensional $\mathcal{N}=(2,2)$ gauged linear sigma model with semichiral superfields. By computing the elliptic genera, we study the vacuum structure of the model. The result coincides with the model without using semichiral superfields. We also show that the low energy effective twisted superpotential contributed by semichiral superfields vanishes, whether we turn on twisted masses or not.