Authors: Ori J Ganor Sharon Jue Shannon McCurdy
Publish Date: 2013/02/05
Volume: 2013, Issue: 2, Pages: 17-
Abstract
We analyze the ground states of a twodimensional sigmamodel whose target space is an elliptically fibered K 3 with the sigmamodel compactified on S 1 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 wavefunctions are localized at singular fibers We also discuss the orbifold limit and possible connections with geometric quantization of the target space
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