Modular Invariant Anomalous U(1) Breaking

TL;DR

This paper derives an effective supergravity theory for anomalous U(1) gauge symmetry breaking, revealing new interactions and formulations that differ from non-anomalous cases, with implications for superfield dynamics.

Contribution

It presents a novel derivation of the effective supergravity theory with anomalous U(1) symmetry, highlighting the linear multiplet formulation and new interactions due to anomaly effects.

Findings

Effective theory expressed in linear multiplet formulation

Modified linearity conditions lead to new interactions

Superfield functional encapsulates additional interactions

Abstract

We describe the effective supergravity theory present below the scale of spontaneous gauge symmetry breaking due to an anomalous U(1), obtained by integrating out tree-level interactions of massive modes. A simple case is examined in some detail. We find that the effective theory can be expressed in the linear multiplet formulation, with some interesting consequences. Among them, the modified linearity conditions lead to new interactions not present in the theory without an anomalous U(1). These additional interactions are compactly expressed through a superfield functional.