Exactly Solvable (0,2) Supersymmetric String Vacua With GUT Gauge Groups

TL;DR

This paper constructs exactly solvable heterotic (0,2) string vacua with GUT gauge groups using a generalized Gepner approach, providing explicit models and spectra that relate to recent CYM/LG phase discussions.

Contribution

It introduces a modular invariant partition function construction for heterotic (0,2) vacua with GUT groups, extending Gepner models to new string solutions.

Findings

Constructed models with GUT gauge groups E6, SO(10), SU(5), and SU(3) x SU(2) x U(1)^r.

Calculated massless spectra indicating correspondence with CYM/LG phases.

Provided explicit examples supporting the existence of these vacua.

Abstract

We present a construction of modular invariant partition functions for heterotic (0,2) supersymmetric classical string vacua. This generalization of Gepner's construction yields GUT gauge groups E_6, SO(10), SU(5) and SU(3) x SU(2) x U(1)^r, respectively. By calculating the massless spectrum of some of these models we find strong indications that they correspond to (0,2) string vacua discussed recently in the context of CYM/LG phases.