Journal article
Gauge Theories Labelled by Three-Manifolds
Abstract
We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-dimensional N=2$${\mathcal{N} = 2}$$ gauge theories. Under this duality, standard operations on triangulated 3-manifolds and various invariants thereof (classical as well as quantum) find a natural interpretation in field theory. For example, independence of the SL(2) Chern-Simons partition function on the choice of triangulation translates to a statement …
Authors
Dimofte T; Gaiotto D; Gukov S
Journal
Communications in Mathematical Physics, Vol. 325, No. 2, pp. 367–419
Publisher
Springer Nature
Publication Date
January 2014
DOI
10.1007/s00220-013-1863-2
ISSN
0010-3616