BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Generalized Ward identities and refined topological expansion of Toda conformal blocks Belliard, Raphael


In this talk, we will review a proposal by B. Eynard and my self to solve W-symmetric Ward identities on the sphere at generic values of the background charge (arXiv:1801.03433v2). It will consist in the introduction of a hierarchy of so-called generalized Ward identities, their solution in topological regimes by topological recursion for quantum spectral curves and eventually obtaining the conformal blocks by integrating special geometry relations. This can also be interpreted as a computation in refined topological string theory where the refinement parameter is identified with the background charge.

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