Unexpected symmetries in classical moduli spaces

TL;DR

This paper reveals that the classical moduli space of a supersymmetric SU(5) gauge theory exhibits unexpected symmetries, leading to multiple vacua with identical low-energy physics, challenging prior assumptions about symmetry and vacuum structure.

Contribution

It uncovers larger symmetry groups in the classical moduli space than the gauge theory's global symmetry, showing classical inequivalent vacua can produce identical low-energy theories.

Findings

Larger symmetry group of the moduli space than the gauge theory's global symmetry.

Existence of classical inequivalent vacua with identical low-energy theories.

Unexpected symmetries influence the vacuum structure of supersymmetric gauge theories.

Abstract

We analyze the structure of the moduli space of a supersymmetric SU(5) chiral gauge theory with two matter fields in the 10 representation, and two fields in the \bar{5} representation. Inspection of the exact Kahler potential of the classical moduli space shows that the symmetry group of the moduli space is larger than the global symmetry group of the underlying gauge theory. As a consequence, the gauge theory has classical inequivalent vacua which yield identical low energy theories.