Chern-Simons theory, 2d Yang-Mills, and Lie algebra wanderers
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
de Haro, S
Abstract
We work out the relation between Chern-Simons, 2d Yang-Mills on the cylinder,
and Brownian motion. We show that for the unitary, orthogonal and symplectic
groups, various observables in Chern-Simons theory on S^3 and lens spaces are
exactly given by counting the number of paths of a Brownian particle wandering
in the fundamental Weyl chamber of the corresponding Lie algebra. We construct
a fermionic formulation of Chern-Simons on
Description
Keywords
hep-th, hep-th, cond-mat.stat-mech, math-ph, math.MP
Journal Title
Nuclear Physics B
Conference Name
Journal ISSN
0550-3213
1873-1562
1873-1562
Volume Title
730
Publisher
Elsevier BV