arXiv subjects

Shannon McCurdy

Publications and source records attributed to Shannon McCurdy.

2 recordsLinked to original sources

arXiv2012

Ground States of Duality-twisted Sigma-Models with K3 Target Space

We analyze the ground states of a two-dimensional sigma-model whose target space is an elliptically fibered K3, with the sigma-model compactified on a circle with boundary conditions twisted by a duality symmetry. We show that the Witten index receives contributions from two kinds of states: (i) those that can be mapped to cohomology with coefficients in a certain line bundle over the target space, and (ii) states whose wave-functions are localized at singular fibers. We also discuss the orbifold limit and possible connections with geometric quantization of the target space.

hep-th↗

arXiv2009

Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds

After a brief description of the $\mathbb{Z}$-graded differential Poisson algebra, we introduce a covariant star product for exterior differential forms and give an explicit expression for it up to second order in the deformation parameter $\hbar$, in the case of symplectic manifolds. The graded differential Poisson algebra endows the manifold with a connection, not necessarily torsion-free, and places upon the connection various constraints.

hep-th↗