Extended chiral conformal theories with a quantum symmetry

1992 ◽  
pp. 277-302
Author(s):  
L. K. Hadjiivanov ◽  
R. R. Paunov ◽  
I. T. Todorov
Keyword(s):  
Quantum Symmetry

scholarly journals Quantum symmetry algebras of spin systems related to Temperley–Lieb R-matrices

2008 ◽  
Vol 49 (2) ◽  
pp. 023510 ◽  
Author(s):  
P. P. Kulish ◽  
N. Manojlovic ◽  
Z. Nagy
Keyword(s):  
Spin Systems ◽  
Quantum Symmetry ◽  
Symmetry Algebras

The quantum symmetry of rational conformal field theories

1991 ◽  
Vol 352 (3) ◽  
pp. 791-828 ◽  
Author(s):  
César Gómez ◽  
Germán Sierra
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Quantum Symmetry

scholarly journals Two-parameter families of quantum symmetry groups

2011 ◽  
Vol 260 (11) ◽  
pp. 3252-3282 ◽  
Author(s):  
Teodor Banica ◽  
Adam Skalski
Keyword(s):  
Symmetry Groups ◽  
Quantum Symmetry ◽  
Two Parameter

Quantum symmetry and braid group statistics inG-spin models

1993 ◽  
Vol 156 (1) ◽  
pp. 127-168 ◽  
Author(s):  
K. Szlachányi ◽  
P. Vecsernyés
Keyword(s):  
Braid Group ◽  
Spin Models ◽  
Quantum Symmetry ◽  
Braid Group Statistics

scholarly journals Almost all trees have quantum symmetry

2020 ◽  
Vol 115 (4) ◽  
pp. 367-378
Author(s):  
Luca Junk ◽  
Simon Schmidt ◽  
Moritz Weber
Keyword(s):  
Quantum Symmetry ◽  
Almost All

scholarly journals Non ambiguous structures on 3-manifolds and quantum symmetry defects

2017 ◽  
Vol 8 (4) ◽  
pp. 749-846 ◽  
Author(s):  
Stéphane Baseilhac ◽  
Riccardo Benedetti
Keyword(s):  
Quantum Symmetry

A quantum symmetry preserving semiclassical method

2002 ◽  
Vol 117 (19) ◽  
pp. 8613-8622 ◽  
Author(s):  
Dmitri Babikov ◽  
Robert B. Walker ◽  
Russell T Pack
Keyword(s):  
Semiclassical Method ◽  
Quantum Symmetry

scholarly journals Quantum Symmetries of Graph C*-algebras

2018 ◽  
Vol 61 (4) ◽  
pp. 848-864 ◽  
Author(s):  
Simon Schmidt ◽  
Moritz Weber
Keyword(s):  
Automorphism Group ◽  
Directed Graph ◽  
Operator Algebras ◽  
Automorphism Groups ◽  
Undirected Graphs ◽  
C Algebras ◽  
Quantum Symmetry ◽  
Quantum Symmetries ◽  
Multiple Edges ◽  
Definition Of

AbstractThe study of graph C*-algebras has a long history in operator algebras. Surprisingly, their quantum symmetries have not yet been computed. We close this gap by proving that the quantum automorphism group of a finite, directed graph without multiple edges acts maximally on the corresponding graph C*-algebra. This shows that the quantum symmetry of a graph coincides with the quantum symmetry of the graph C*-algebra. In our result, we use the definition of quantum automorphism groups of graphs as given by Banica in 2005. Note that Bichon gave a different definition in 2003; our action is inspired from his work. We review and compare these two definitions and we give a complete table of quantum automorphism groups (with respect to either of the two definitions) for undirected graphs on four vertices.

scholarly journals Graphs having no quantum symmetry

2007 ◽  
Vol 57 (3) ◽  
pp. 955-971 ◽  
Author(s):  
Teodor Banica ◽  
Julien Bichon ◽  
Gaëtan Chenevier
Keyword(s):  
Quantum Symmetry
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