Eric Sharpe works on theoretical physics related to string theory with an emphasis on structural aspects and mathematical formalization. He got his Phd under Edward Witten.
Sharpe has early on realized the role of higher differential geometry in the form of stacks and gerbes in string theory. He identified string theorists’s “discrete torsion” with the equivariant cohomology of bundle gerbes on orbifolds (Sharpe 99, Sharpe 01) and he was the first to consider the possibility that target spaces for string sigma-models may themselves be stacks/gerbes (Pantev-Sharpe 05a, Pantev-Sharpe 05b, Hellerman-Sharpe 10).
More recently he has been investigating quantum sheaf cohomology.
In (Sharpe 15) he lays out a general perspective of the role of 2-group and generally n-group (infinity-group) global higher gauge symmetry in quantum field theory and string theory.
On discrete torsion:
Eric Sharpe, Discrete torsion, Phys.Rev. D68 (2003) 126003 (arXiv:hep-th/0008154)
Eric Sharpe, Discrete Torsion and Gerbes I (arXiv:hep-th/9909108)
Discrete Torsion and Gerbes II (arXiv:hep-th/9909120)
On stacks as target spaces for sigma-models:
Eric Sharpe, Discrete Torsion, Quotient Stacks, and String Orbifolds (arXiv:math/0110156)
Tony Pantev, Eric Sharpe, String compactifications on Calabi-Yau stacks, Nucl.Phys. B733 (2006) 233-296, (arXiv:hep-th/0502044)
Tony Pantev, Eric Sharpe, Gauged linear sigma-models for gerbes (and other toric stacks), (arXiv:hep-th/0502053)
S. Hellerman, Eric Sharpe, Sums over topological sectors and quantization of Fayet-Iliopoulos parameters, (arXiv:1012.5999)
Eric Sharpe, Notes on generalized global symmetries in QFT (arXiv:1508.04770)
On duality in string theory in view of category theory and higher geometry:
Discussion of the Hilbert schemes of points of ADE-singularities:
Last revised on December 29, 2019 at 17:20:26. See the history of this page for a list of all contributions to it.