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Eigenvectors and Eigenvalues of $p$-Curvature Operators for KZ--type Differential Connections

Tarasov, Vitaly et al.
arXiv (All) · Papers
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mathematical-physics
A KZ-type connection in characteristic $p$ has $p$-curvature operators. These operators are commuting endomorphisms of the connection. We present a Bethe-ansatz-type construction of their eigenvectors and eigenvalues. The eigenvector is constructed as the value of a characteristic $p$ hypergeometric
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