scholarly journals Fusion rings and geometry

1991 ◽  
Vol 141 (2) ◽  
pp. 381-411 ◽  
Author(s):  
Doron Gepner
Keyword(s):  
Fusion Rings

scholarly journals Affine Pieri rule for periodic Macdonald spherical functions and fusion rings

2021 ◽  
Vol 392 ◽  
pp. 108027
Author(s):  
J.F. van Diejen ◽  
E. Emsiz ◽  
I.N. Zurrián
Keyword(s):  
Spherical Functions ◽  
Fusion Rings

scholarly journals Fusion Rings Arising from Normal Hopf Subalgebras

2009 ◽  
Vol 14 (1) ◽  
pp. 41-55 ◽  
Author(s):  
Sebastian Burciu ◽  
Vicentiu Pasol
Keyword(s):  
Normal Hopf Subalgebras ◽  
Fusion Rings

On Normalized Integral Table Algebras (Fusion Rings)

2011 ◽  
Author(s):  
Zvi Arad ◽  
Xu Bangteng ◽  
Guiyun Chen ◽  
Effi Cohen ◽  
Arisha Haj Ihia Hussam ◽  
...  
Keyword(s):  
Table Algebras ◽  
Fusion Rings

scholarly journals Fusion Rings for Quantum Groups

2014 ◽  
Vol 17 (6) ◽  
pp. 1869-1888 ◽  
Author(s):  
Henning Haahr Andersen ◽  
Catharina Stroppel
Keyword(s):  
Quantum Groups ◽  
Fusion Rings

scholarly journals Symplectic fusion rings and their metric

1992 ◽  
Vol 380 (1-2) ◽  
pp. 147-167 ◽  
Author(s):  
Doron Gepner ◽  
Adam Schwimmer
Keyword(s):  
Fusion Rings

scholarly journals On the classification of fusion rings

1995 ◽  
Vol 349 (1-2) ◽  
pp. 71-75 ◽  
Author(s):  
Doron Gepner ◽  
Anton Kapustin
Keyword(s):  
Fusion Rings

scholarly journals GALOIS GROUPS IN RATIONAL CONFORMAL FIELD THEORY

2008 ◽  
Vol 22 (04) ◽  
pp. 343-358 ◽  
Author(s):  
DORON GEPNER
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Galois Group ◽  
Galois Groups ◽  
Conformal Field ◽  
Integer Coefficients ◽  
Fusion Rings

It was established before that fusion rings in a rational conformal field theory (RCFT) can be described as rings of polynomials, with integer coefficients, modulo some relations. We use the Galois group of these relations to obtain a local set of equations for the points of the fusion variety. These equations are sufficient to classify all the RCFT, Galois group by Galois group. It is shown that the Galois group is equivalent to the pseudo RCFT group. We prove that the Galois groups encountered in RCFT are all Abelian, implying solvability by radicals of the modular matrix.

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