Non-Abelian Berry phase, instantons, and N=(0,4) supersymmetry
Journal Article
·
· Journal of Mathematical Physics
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
In supersymmetric quantum mechanics, the non-Abelian Berry phase is known to obey certain differential equations. Here we study N=(0,4) systems and show that the non-Abelian Berry connection over R{sup 4n} satisfies a generalization of the self-dual Yang-Mills equations. Upon dimensional reduction, these become the tt* equations. We further study the Berry connection in N=(4,4) theories and show that the curvature is covariantly constant.
- OSTI ID:
- 21501222
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 12; Other Information: DOI: 10.1063/1.3521497; (c) 2010 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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