Correlators in Conformal Field Theory are, in general, complicated special functions. In the most tractable cases, they satisfy certain differential equations, such as the Belavin–Polyakov–Zamolodchikov (BPZ) equation. Many of their properties can be described in terms of the Virasoro algebra, whose action encodes conformal symmetry.

 

The deformed version of these correlators arises naturally in connection with integrable systems, supersymmetric gauge theories, and geometric representation theory. We have described the annihilator ideal of the deformed (2,2s+1) minimal models. We expect this to extend to all deformed minimal models and obtain a deformed version of the BPZ equation. This is joint work with J. Shiraishi and S. Wood.

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