WARD IDENTITIES FOR AFFINE-VIRASORO CORRELATORS
1994 ◽
Vol 09
(02)
◽
pp. 265-311
◽
Keyword(s):
Generalizing the Knizhnik-Zamolodchikov equations, we derive a hierarchy of nonlinear Ward identities for affine-Virasoro correlators. The hierarchy follows from null states of the Knizhnik-Zamolodchikov type and the assumption of factorization, whose consistency we verify at an abstract level. Solution of the equations requires concrete factorization ansätze, which may vary over affine-Virasoro space. As a first example, we solve the nonlinear equations for the coset constructions, using a matrix factorization. The resulting coset correlators satisfy first-order linear partial differential equations whose solutions are the coset blocks defined by Douglas.
2015 ◽
pp. 1-47
1981 ◽
Vol 128
(1)
◽
pp. 325-340
◽
2003 ◽
Vol 2
(2)
◽
pp. 211-231
◽
2021 ◽
Vol 1730
(1)
◽
pp. 012066
2001 ◽
Vol 37
(4)
◽
pp. 579-614
◽
1999 ◽
Vol 35
(6)
◽
pp. 893-919
◽
2020 ◽
pp. 1-48