Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties

Ron Donagi, Josh Guffin, Sheldon Katz, Eric Sharpe

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we will outline computations of quantum sheaf cohomology for deformations of tangent bundles of toric varieties, for those deformations describable as deformations of toric Euler sequences. Quantum sheaf cohomology is a heterotic analogue of quantum cohomology, a quantum deformation of the classical product on sheaf cohomology groups, that computes nonperturbative corrections to analogues of 273 couplings in heterotic string compactifications. Previous computations have relied on either physics-based gauged linear sigma model (GLSM) techniques or computation-intensive brute-force Cech cohomology techniques. This paper describes methods for greatly simplifying mathematical computations, and derives more general results than previously obtainable with GLSM techniques. We will outline recent results (rigorous proofs will appear elsewhere).

Original languageEnglish (US)
Pages (from-to)1255-1301
Number of pages47
JournalAdvances in Theoretical and Mathematical Physics
Volume17
Issue number6
DOIs
StatePublished - 2013

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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