Cluster algebras based on vertex operator algebras
2016 ◽
Vol 30
(28n29)
◽
pp. 1640030
Keyword(s):
Starting from Zhu recursion formulas for correlation functions for vertex operator algebras with formal parameters associated to local coordinates around marked points on a Riemann surfaces, we introduce a cluster algebra structure over a noncommutative set of variables. Cluster elements and mutation rules are explicitly defined. In particular, we propose an elliptic version of vertex operator cluster algebras arising from correlation functions and Zhu reduction procedure for vertex operators on the torus.
Keyword(s):
2012 ◽
Vol 23
(10)
◽
pp. 1250106
◽
2010 ◽
Vol 300
(3)
◽
pp. 673-713
◽
Keyword(s):
Keyword(s):
2000 ◽
Vol 02
(02)
◽
pp. 191-241
◽
2012 ◽
Vol 09
(08)
◽
pp. 1250063