Quantum field theory and the Jones polynomial
E Witten - Communications in Mathematical Physics, 1989 - Springer
It is shown that 2+ 1 dimensional quantum Yang-Mills theory, with an action consisting
purely of the Chern-Simons term, is exactly soluble and gives a natural framework for …
purely of the Chern-Simons term, is exactly soluble and gives a natural framework for …
Classical and quantum conformal field theory
G Moore, N Seiberg - Communications in Mathematical Physics, 1989 - Springer
We define chiral vertex operators and duality matrices and review the fundamental identities
they satisfy. In order to understand the meaning of these equations, and therefore of …
they satisfy. In order to understand the meaning of these equations, and therefore of …
Superselection sectors with braid group statistics and exchange algebras II: Geometric aspects and conformal covariance
The general theory of superselection sectors is shown to provide almost all the structure
observed in two-dimensional conformal field theories. Its application to two-dimensional …
observed in two-dimensional conformal field theories. Its application to two-dimensional …
The operator algebra of orbifold models
We analyze the chiral properties of (orbifold) conformal field theories which are obtained
from a given conformal field theory by modding out by a finite symmetry group. For a class of …
from a given conformal field theory by modding out by a finite symmetry group. For a class of …
[BOOK][B] Geometric quantization of Chern-Simons gauge theory
SE Axelrod - 1991 - search.proquest.com
We present a new construction of the quantum Hilbert space of Chern-Simons gauge theory
using methods which are natural from the three dimensional point of view. We describe a …
using methods which are natural from the three dimensional point of view. We describe a …
Superselection sectors with braid group statistics and exchange algebras: I. General theory
The theory of superselection sectors is generalized to situations in which normal statistics
has to be replaced by braid group statistics. The essential role of the positive Markov trace of …
has to be replaced by braid group statistics. The essential role of the positive Markov trace of …
[BOOK][B] Quantum groups in two-dimensional physics
C Gómez, M Ruiz-Altaba, G Sierra, M Ruiz-Altaba - 1996 - academia.edu
7.1 Mathematical preliminaries 228 7.1. l'The center of Uq (s£(2))\228 7.1. 2 Finite-
dimensional irreps 229 7.1. 3 The co-adjoint action 231 7.1. 4 Intertwiners" 234 7.2 A family …
dimensional irreps 229 7.1. 3 The co-adjoint action 231 7.1. 4 Intertwiners" 234 7.2 A family …
[BOOK][B] Braid group, knot theory, and statistical mechanics II
CN Yang, ML Ge - 1994 - books.google.com
Braid group, knot theory, and statistical mechanics II Page 1 Advanced Series in Mathematical
Physics Vol. 17 BRAID GROUP, KNOT THEORY AND STATISTICAL MECHANICS II Editors CN …
Physics Vol. 17 BRAID GROUP, KNOT THEORY AND STATISTICAL MECHANICS II Editors CN …
Gauge theories and integrable lattice models
E Witten - Nuclear Physics B, 1989 - Elsevier
Investigations of new knot polynomials discovered in the last few years have shown them to
be intimately connected with soluble models of two dimensional lattice statistical mechanics …
be intimately connected with soluble models of two dimensional lattice statistical mechanics …
From knots to exceptional points: Emergence of topological features in non-Hermitian systems with long-range coupling
We present a study of complex energy braiding in a one-dimensional non-Hermitian system
with n th-order long-range asymmetrical coupling. Our work highlights the emergence of …
with n th-order long-range asymmetrical coupling. Our work highlights the emergence of …