Marginal deformations of heterotic interpolating models and exponential suppression of the cosmological constant

TL;DR

This paper investigates heterotic string models with background fields, analyzing gauge symmetry, massless fermions, and conditions for an exponentially suppressed cosmological constant, without relying on non-supersymmetric endpoints.

Contribution

It provides a detailed analysis of heterotic interpolating models with full Wilson lines and radii, identifying conditions for an exponentially small cosmological constant.

Findings

Identification of models with exponentially suppressed cosmological constant

Analysis of gauge symmetry enhancement patterns

Representation of massless fermions in the models

Abstract

Following our previous work of 1905.10745 [hep-th], 2003.11217 [hep-th], we study heterotic interpolating models $D$ dimensionally compactified with constant background fields that include the full set of Wilson lines and radii. Focusing on the phenomenoloically viable supersymmetry restoring parameter region, we analyze the pattern of gauge symmetry enhancement and the representation of massless fermions. We obtain the set of cases with the exponentially small cosmological constant. Our analysis does not depend on non-supersymmetric endpoint models of interpolations. A part of the moduli space of interpolating models is in one-to-one correspondence with the counterpart of toroidal compactification of heterotic superstrings.