L^2-Kernels Of Dirac-Type Operators On Monopole Moduli Spaces

Abstract

We state some mathematical predictions concerning the kernels of Dirac-type operators on moduli spaces of (singular) monopoles in R^3. These predictions follow from the semiclassical interpretation of physical results on spaces of (framed) BPS states in d=4, N=2 gauge theories.

v1: 16 pages, 1 figure; v2: reference added, typos corrected

References in corpus (1)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Cited by in corpus (4)

• Semiclassical framed BPS states
• Monopole Bubbling via String Theory
• A Note On The Semiclassical Formulation Of BPS States In Four-Dimensional N=2 Theories
• Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem