On a hyperholomorphic line bundle over the Coulomb branch
Abstract
Given an N=2 supersymmetric field theory in four dimensions, its dimensional reduction on S^1 is a sigma model with hyperkahler target space M. We describe a canonical line bundle V on M, equipped with a hyperholomorphic connection. The construction of this connection is similar to the known construction of the metric on M itself: one begins with a simple "semiflat" connection and then improves it by including contributions weighed by the degeneracies of BPS particles going around S^1. We conjecture that V describes the physics of the theory dimensionally reduced on NUT space.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2011
- DOI:
- 10.48550/arXiv.1110.1619
- arXiv:
- arXiv:1110.1619
- Bibcode:
- 2011arXiv1110.1619N
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 27 pages