TY - JOUR
T1 - Gauge theories, vertex models, and quantum groups
AU - Witten, Edward
N1 - Funding Information:
supported in part by NSF Grant 86-20266 and NSF Waterman Grant 88-17521.
PY - 1990/1/29
Y1 - 1990/1/29
N2 - It is known that the Jones polynomial of knot theory, and its generalizations, are closely related to the integrable "vertex models" of two-dimensional statistical mechanics, and to quantum groups. In this paper, an attempt is made to show on a priori grounds, starting only from general covariance of three-dimensional Chern-Simons gauge theory and two-dimensional "duality", why this must be so.
AB - It is known that the Jones polynomial of knot theory, and its generalizations, are closely related to the integrable "vertex models" of two-dimensional statistical mechanics, and to quantum groups. In this paper, an attempt is made to show on a priori grounds, starting only from general covariance of three-dimensional Chern-Simons gauge theory and two-dimensional "duality", why this must be so.
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U2 - 10.1016/0550-3213(90)90115-T
DO - 10.1016/0550-3213(90)90115-T
M3 - Article
AN - SCOPUS:0000835316
SN - 0550-3213
VL - 330
SP - 285
EP - 346
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2-3
ER -