scholarly journals Hidden quantum group symmetry and integrable perturbations of conformal field theories

1990 ◽  
Vol 131 (1) ◽  
pp. 157-177 ◽  
Author(s):  
N. Reshetikhin ◽  
F. Smirnov
Keyword(s):  
Quantum Group ◽  
Group Symmetry ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

scholarly journals Conformal Field Theories with Sporadic Group Symmetry

2021 ◽  
Author(s):  
Jin-Beom Bae ◽  
Jeffrey A. Harvey ◽  
Kimyeong Lee ◽  
Sungjay Lee ◽  
Brandon C. Rayhaun
Keyword(s):  
Group Symmetry ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Sporadic Group ◽  
Conformal Field

scholarly journals On Fusion Rules in Logarithmic Conformal Field Theories

1997 ◽  
Vol 12 (10) ◽  
pp. 1943-1958 ◽  
Author(s):  
Michael A. I. Flohr
Keyword(s):  
Quantum Group ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Group Representations ◽  
Fusion Rules ◽  
Conformal Field ◽  
Almost All

We find the fusion rules for the cp,1 series of logarithmic conformal field theories. This completes our attempts to generalize the concept of rationality for conformal field theories to the logarithmic case. A novelty is the appearance of negative fusion coefficients which can be understood in terms of exceptional quantum group representations. The effective fusion rules (i.e. without signs and multiplicities) resemble the BPZ fusion rules for the virtual minimal models with conformal grid given via c = c3p,3. This leads to the conjecture that (almost) all minimal models with c = cp,q, gcd (p,q) > 1, belong to the class of rational logarithmic conformal field theories.

RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES

1991 ◽  
Vol 06 (24) ◽  
pp. 4359-4374 ◽  
Author(s):  
SHAHN MAJID
Keyword(s):  
Fourier Transform ◽  
Quantum Group ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Generalized Fourier Transform ◽  
Conformal Field ◽  
Reconstruction Theorem

We obtain an explicit reconstruction theorem for rational conformal field theories and other situations where we are presented with a braided or quasitensor category [Formula: see text]. It takes the form of a generalized Fourier transform. The reconstructed object turns out to be a quantum group in a generalized sense. Our results include both the Tannaka-Krein case where there is a functor [Formula: see text], and the case where there is no functor at all.

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 Quantum group interpretation of some conformal field theories

1989 ◽  
Vol 220 (1-2) ◽  
pp. 142-152 ◽  
Author(s):  
L. Alvarez-Gaumé ◽  
C. Gomez ◽  
G. Sierra
Keyword(s):  
Quantum Group ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field

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.

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