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arXiv · 1211.4179

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

Ori J. Ganor·Sharon Jue·Shannon McCurdy
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Abstract

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.

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Ori J. Ganor, Sharon Jue, Shannon McCurdy. 2012-11-18. Ground States of Duality-twisted Sigma-Models with K3 Target Space. https://doi.org/10.1007/jhep02(2013)017

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