Triangle Seminars
Monday, 18 Jul 2005
Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory
📍 London
Sylvain Ribault
(King's College London)
Abstract:
KZ equations are an essential tool in the study of conformal
field theories with affine algebra symmetry. They are satisfied by all
correlation functions of affine primary fields. However, string theory in
AdS3 forces us to consider fields which are not affine primaries. I will
explain that some generalizations of the KZ equations nevertheless still
hold. I will discuss the implications of this finding for the relation
with Liouville theory and the operator product expansion in the H3 model.
KZ equations are an essential tool in the study of conformal
field theories with affine algebra symmetry. They are satisfied by all
correlation functions of affine primary fields. However, string theory in
AdS3 forces us to consider fields which are not affine primaries. I will
explain that some generalizations of the KZ equations nevertheless still
hold. I will discuss the implications of this finding for the relation
with Liouville theory and the operator product expansion in the H3 model.
Posted by: KCL