1306.5440 (E. Sharpe)

A few Ricci-flat stacks as phases of exotic GLSM's    [PDF]

E. Sharpe

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 a Ricci-flat (but not Calabi-Yau) stack which looks like a Fano manifold with a hypersurface of Z_2 orbifolds.

View original: http://arxiv.org/abs/1306.5440