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- W1899884888 abstract "In this paper we give an inherently toric description of a special class of sheaves (known as equivariant sheaves) over toric varieties, due in part to A. A. Klyachko. We apply this technology to heterotic compactifications, in particular to the (0,2) models of Distler, Kachru, and also discuss how knowledge of equivariant sheaves can be used to reconstruct information about an entire moduli space of sheaves. Many results relevant to heterotic compactifications previously known only to mathematicians are collected here -- for example, results concerning whether the restriction of a stable sheaf to a Calabi-Yau hypersurface remains stable are stated. We also describe substructure in the Kahler cone, in which moduli spaces of sheaves are independent of Kahler class only within any one subcone. We study F theory compactifications in light of this fact, and also discuss how it can be seen in the context of equivariant sheaves on toric varieties. Finally we briefly speculate on the application of these results to (0,2) mirror symmetry." @default.
- W1899884888 created "2016-06-24" @default.
- W1899884888 creator A5054818395 @default.
- W1899884888 creator A5074655749 @default.
- W1899884888 date "1998-01-01" @default.
- W1899884888 modified "2023-09-27" @default.
- W1899884888 title "Sheaves on toric varieties for physics" @default.
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- W1899884888 doi "https://doi.org/10.4310/atmp.1998.v2.n4.a6" @default.
- W1899884888 hasPublicationYear "1998" @default.
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