|XXXVII Workshop on Geometric Methods in Physics||1-7.07.2018|
|VII School on Geometry and Physics||25-29.06.2018|
Participants of Workshop
Participants of School
Quantum curves and conformel field theory
Using the formalism of matrix and eigenvalue models one can associate to a given classical algebraic curve an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a certain (e.g. Virasoro or super-Virasoro) underlying algebra. In my presentation I will discuss how this problem can be reformulated in the language of conformal field theory what leads to a more efficient identification of quantum curves, proves in full generality that they indeed have the structure of singular vectors, enables identification of corresponding eigenvalue models and can be easily generalized to other underlying algebras.
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