144 citations · 212 across the 9 of their papers we have counts for
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An overview of Bagger-Witten line bundles
E. Sharpe
We give a brief overview of recent progress in understanding Bagger-Witten line bundles, which are bundles over moduli spaces of two-dimensional N=2 SCFTs whose existence is a cons…
A survey of recent developments in GLSMs
E. Sharpe
In this article we briefly survey some developments in gauged linear sigma models (GLSMs). Specifically, we give an overview of progress on constructions of GLSMs for various geome…
Heterotic compactifications with principal bundles for general groups and general levels
J. Distler, E. Sharpe
We examine to what extent heterotic string worldsheets can describe arbitrary E8xE8 gauge fields. The traditional construction of heterotic strings builds each E8 via a Spin(16)/Z2…
Derived categories and stacks in physics
E. Sharpe
In this note we review how both derived categories and stacks enter physics. The physical realization of each has many formal similarities. For example, in both cases, equivalences…
Cluster decomposition, T-duality, and gerby CFT's
S. Hellerman, A. Henriques, T. Pantev +2
In this paper we study CFT's associated to gerbes. These theories suffer from a lack of cluster decomposition, but this problem can be resolved: the CFT's are the same as CFT's for…
Equivariant Sheaves
A. Knutson, E. Sharpe
In this article we review some recent developments in heterotic compactifications. In particular we review an ``inherently toric'' description of certain sheaves, called equivarian…
Sheaves on Toric Varieties for Physics
A. Knutson, E. Sharpe
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 thi…
Notes on Heterotic Compactifications
E. Sharpe
In this technical note we describe a pair of results on heterotic compactifications. First, we give an example demonstrating that the usual statement of the anomaly-freedom constra…
Extremal Transitions in Heterotic String Theory
E. Sharpe
In this paper we study extremal transitions between heterotic string compactifications, i.e., transitions between pairs (M,V) where M is a Calabi-Yau manifold and V a gauge bundle.…