scholarly journals Quantum groups and conformal field theories

1989 ◽  
Vol 329 (1605) ◽  
pp. 343-347
Keyword(s):  
Hopf Algebra ◽  
Quantum Groups ◽  
Hopf Algebras ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Theory ◽  
Conformal Field

Rational conformal field theories can be interpreted as defining quasi-triangular Hopf algebras. The Hopf algebra is determined by the duality properties of the conformal theory.

The contour picture of quantum groups: Conformal field theories

1991 ◽  
Vol 364 (1) ◽  
pp. 195-233 ◽  
Author(s):  
C. Ramirez ◽  
H. Ruegg ◽  
M. Ruiz-Altaba
Keyword(s):  
Quantum Groups ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR

2010 ◽  
Vol 21 (08) ◽  
pp. 987-1045 ◽  
Author(s):  
EMILY PETERS
Keyword(s):  
Quantum Groups ◽  
Finite Depth ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Planar Algebra

Most known examples of subfactors occur in families, coming from algebraic objects such as groups, quantum groups and rational conformal field theories. The Haagerup subfactor is the smallest index finite depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated to the Haagerup subfactor, which provides a new proof of the existence of the Haagerup subfactor. Our technique is to find the Haagerup planar algebra as a singly generated subfactor planar algebra, that is contained inside a graph planar algebra.

scholarly journals LOGARITHMIC KNOT INVARIANTS ARISING FROM RESTRICTED QUANTUM GROUPS

2008 ◽  
Vol 19 (10) ◽  
pp. 1203-1213 ◽  
Author(s):  
JUN MURAKAMI ◽  
KIYOKAZU NAGATOMO
Keyword(s):  
Quantum Group ◽  
Quantum Groups ◽  
Field Theories ◽  
Projective Modules ◽  
Conformal Field Theories ◽  
Knot Invariants ◽  
Conformal Field ◽  
Alexander Invariants

We construct knot invariants from the radical part of projective modules of the restricted quantum group [Formula: see text] at [Formula: see text], and we also show a relation between these invariants and the colored Alexander invariants. These projective modules are related to logarithmic conformal field theories.

scholarly journals Defects and perturbation

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Enrico M. Brehm
Keyword(s):  
Entanglement Entropy ◽  
Topological Defects ◽  
Field Theories ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field

Abstract We investigate perturbatively tractable deformations of topological defects in two-dimensional conformal field theories. We perturbatively compute the change in the g-factor, the reflectivity, and the entanglement entropy of the conformal defect at the end of these short RG flows. We also give instances of such flows in the diagonal Virasoro and Super-Virasoro Minimal Models.

scholarly journals Entanglement and complexity of purification in ( 1+1 )-dimensional free conformal field theories

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Hugo A. Camargo ◽  
Lucas Hackl ◽  
Michal P. Heller ◽  
Alexander Jahn ◽  
Tadashi Takayanagi ◽  
...  
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field
Sign in / Sign up

Export Citation Format

Share Document