Classification of shift vectors in heterotic orbifold compactifications on Enriques surfaces with spectrum analysis and tachyon projection for non-supersymmetric interpretations.
A few Ricci-flat stacks as phases of exotic GLSM's
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abstract
In this letter we follow up recent work of Halverson-Kumar-Morrison on some exotic examples of gauged linear sigma models (GLSM's). Specifically, they describe a set of U(1) x Z_2 GLSM's with superpotentials that are quadratic in p fields, rather than linear as is typically the case. These theories RG flow to sigma models on branched double covers, where the double cover is realized via a Z_2 gerbe. For that gerbe structure, and hence the double cover, the Z_2 factor in the gauge group is essential. In this letter we propose an analogous geometric understanding of phases without that Z_2, in terms of Ricci-flat (but not Calabi-Yau) stacks which look like Fano manifolds with hypersurfaces of Z_2 orbifolds.
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Heterotic Strings on Enriques Surfaces
Classification of shift vectors in heterotic orbifold compactifications on Enriques surfaces with spectrum analysis and tachyon projection for non-supersymmetric interpretations.