Heterotic Mini-landscape in blow-up
Nana Geraldine Cabo Bizet, Hans Peter Nilles

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…
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Particle physics theoretical and experimental studies
