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

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.

37 pages

References in corpus (6)

• SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls
• Mirrorfolds with K3 Fibrations
• Ground States of S-duality Twisted N=4 Super Yang-Mills Theory
• Twisting K3 x T^2 Orbifolds
• Static Charges in the Low-Energy Theory of the S-Duality Twist
• Selfduality and Chern-Simons Theory

Cited by in corpus (3)

• Duality Symmetric String and M-Theory
• T-duality Twists and Asymmetric Orbifolds
• Double-Janus Linear Sigma Models and Generalized Reciprocity for Gauss Sums