Exact Results in SO(11) SUSY Gauge Theories with Spinor and Vector Matter

TL;DR

This paper analyzes the vacuum structure of supersymmetric SO(11) gauge theories with spinor and vector matter, deriving quantum moduli spaces and superpotentials, and discussing dualities, thus advancing understanding of chiral SUSY gauge models.

Contribution

It provides new insights into the confining phase vacuum structure of SO(11) SUSY gauge theories with matter, including explicit forms of quantum moduli spaces and superpotentials, and explores dualities in these models.

Findings

Derived quantum moduli spaces for Nf=5 and 6.

Determined superpotentials after integrating out heavy fields.

Discussed magnetic duals for Nf ≥ 7 theories.

Abstract

We investigate the confining phase vacuum structure of supersymmetric SO(11) gauge theories with one spinor matter field and Nf \le 6 vectors. We describe several useful tricks and tools that facilitate the analysis of these chiral models and many other theories of similar type. The forms of the Nf=5 and Nf=6 quantum moduli spaces are deduced by requiring that they reproduce known results for SU(5) SUSY QCD along the spinor flat direction. After adding mass terms for vector fields and integrating out heavy degrees of freedom, we also determine the dynamically generated superpotentials in the Nf \le 4 quantum theories. We close with some remarks regarding magnetic duals to the Nf \ge 7 electric SO(11) theories.