U(1) symmetric $\alpha$-attractors

TL;DR

This paper introduces supergravity $$-attractor models with an approximate U(1) symmetry, extending to multi-field cases and revealing a dual description involving two-form and three-form superfields.

Contribution

It develops a new class of supergravity $$-attractors with U(1) symmetry and generalizes them to multiple fields, providing a dual formulation with superfield couplings.

Findings

Models exhibit an approximate U(1) symmetry in the axion direction.

Multi-field generalization of $$-attractors is constructed.

Dual description involves a two-form and a three-form superfield.

Abstract

We present a class of supergravity $\alpha$-attractors with an approximate global U(1) symmetry corresponding to the axion direction. We also develop a multi-field generalization of these models and show that the $\alpha$-attractor models with U(1) symmetries have a dual description in terms of a two-form superfield coupled to a three-form superfield.