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

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.

25 pages; v2 with minor revision, references added

References in corpus (7)

• Elliptic genera of 2d N=2 gauge theories
• Bethe/Gauge correspondence on curved spaces
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• A holomorphic anomaly in the elliptic genus
• New N = (2, 2) vector multiplets
• Nonabelian Generalized Gauge Multiplets
• Semichiral Fields on S^2 and Generalized Kähler Geometry

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• Gravity Dual of Two-Dimensional $\mathcal{N}=(2,2{)}^{\ast }$ Supersymmetric Yang-Mills Theory and Integrable Models
• Low-energy effective action in two-dimensional SQED: A two-loop analysis