scholarly journals Logarithmic link invariants of U‾qH(sl2) and asymptotic dimensions of singlet vertex algebras

2018 ◽  
Vol 222 (10) ◽  
pp. 3224-3247 ◽  
Author(s):  
Thomas Creutzig ◽  
Antun Milas ◽  
Matt Rupert
Keyword(s):  
Vertex Algebras ◽  
Link Invariants

scholarly journals Associating quantum vertex algebras to Lie algebragl∞

2014 ◽  
Vol 399 ◽  
pp. 1086-1106 ◽  
Author(s):  
Cuipo Jiang ◽  
Haisheng Li
Keyword(s):  
Vertex Algebras ◽  
Quantum Vertex

scholarly journals FROM RIBBON CATEGORIES TO GENERALIZED YANG–BAXTER OPERATORS AND LINK INVARIANTS (AFTER KITAEV AND WANG)

2013 ◽  
Vol 24 (01) ◽  
pp. 1250126 ◽  
Author(s):  
SEUNG-MOON HONG
Keyword(s):  
The Other ◽  
Polynomial Invariant ◽  
Link Invariants ◽  
Fusion Categories ◽  
New Family ◽  
Kauffman Polynomial ◽  
Twist Structure

We consider two approaches to isotopy invariants of oriented links: one from ribbon categories and the other from generalized Yang–Baxter (gYB) operators with appropriate enhancements. The gYB-operators we consider are obtained from so-called gYBE objects following a procedure of Kitaev and Wang. We show that the enhancement of these gYB-operators is canonically related to the twist structure in ribbon categories from which the operators are produced. If a gYB-operator is obtained from a ribbon category, it is reasonable to expect that two approaches would result in the same invariant. We prove that indeed the two link invariants are the same after normalizations. As examples, we study a new family of gYB-operators which is obtained from the ribbon fusion categories SO (N)2, where N is an odd integer. These operators are given by 8 × 8 matrices with the parameter N and the link invariants are specializations of the two-variable Kauffman polynomial invariant F.

scholarly journals A universal approach to vertex algebras

2010 ◽  
Vol 324 (7) ◽  
pp. 1731-1753 ◽  
Author(s):  
Ruthi Hortsch ◽  
Igor Kriz ◽  
Aleš Pultr
Keyword(s):  
Vertex Algebras ◽  
Universal Approach

scholarly journals A certain clifford-like algebra and quantum vertex algebras

2016 ◽  
Vol 216 (1) ◽  
pp. 441-470
Author(s):  
Haisheng Li ◽  
Shaobin Tan ◽  
Qing Wang
Keyword(s):  
Vertex Algebras ◽  
Quantum Vertex
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