QUASI ROOT SYSTEMS AND VERTEX OPERATOR REALIZATIONS OF THE VIRASORO ALGEBRA
2013 ◽
Vol 12
(07)
◽
pp. 1350028
Keyword(s):
A construction of the Virasoro algebra in terms of free massless two-dimensional boson fields is studied. The ansatz for the Virasoro field contains the most general unitary scaling dimension 2 expression built from vertex operators. The ansatz leads in a natural way to a concept of a quasi root systems. This is a new notion generalizing the notion of a root system in the theory of Lie algebras. We introduce a definition of a quasi root systems and provide an extensive list of examples. Explicit solutions of the ansatz are presented for a range of quasi root systems.
Keyword(s):
2019 ◽
Vol 18
(03)
◽
pp. 1950051
Keyword(s):
Keyword(s):
1975 ◽
Vol 19
(4)
◽
pp. 345-352
◽
Keyword(s):
2003 ◽
Vol 18
(33n35)
◽
pp. 2467-2474
◽
Keyword(s):