Remarks on Critical Points of Phase Functions and Norms of Bethe Vectors
نویسنده
چکیده
Abstract. We consider a tensor product of a Verma module and the linear representation of sl(n + 1). We prove that the corresponding phase function, which is used in the solutions of the KZ equation with values in the tensor product, has a unique critical point and show that the Hessian of the logarithm of the phase function at this critical point equals the Shapovalov norm of the corresponding Bethe vector.
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