Heterotic Mini-landscape in blow-up

TL;DR

This paper investigates the process of resolving orbifold singularities in heterotic string models by explicitly analyzing blow-up modes, matching spectra, and identifying their roles as non-universal axions, thereby enhancing understanding of string compactifications.

Contribution

It provides an explicit example of blow-up in a heterotic Mini-landscape model, identifying blow-up modes with orbifold twisted fields and connecting them to non-universal axions.

Findings

Explicit identification of blow-up modes at fixed points.

Matching of massless spectra before and after blow-up.

Highlighting the role of Green-Schwarz anomaly polynomial.

Abstract

Localization properties of fields in compact extra dimensions are crucial ingredients for string model building, particularly in the framework of orbifold compactifications. Realistic models often require a slight deviation from the orbifold point, that can be analyzed using field theoretic methods considering (singlet) fields with nontrivial vacuum expectation values. Some of these fields correspond to blow-up modes that represent the resolution of orbifold singularities. Improving on previous analyses we give here an explicit example of the blow-up of a model from the heterotic Mini-landscape. An exact identification of the blow-up modes at various fixed points and fixed tori with orbifold twisted fields is given. We match the massless spectra and identify the blow-up modes as non-universal axions of compactified string theory. We stress the important role of the Green-Schwarz anomaly polynomial for the description of the resolution of orbifold singularities.