Heterotic mini-landscape in blow-up

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.

Vacuum varieties, holomorphic bundles and complex structure stabilization in heterotic theories

“…For a selection of work on model building efforts in other heterotic contexts see[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. For further work related to the smooth compactifications cited in the text, see[8][9][10][11][12][13][14][15].…”