A bstract We propose a procedure to derive quantum spectral curves of AdS/CFT type by
requiring that a specially designed analytic continuation around the branch point results in …

In a recent paper (Molev A, in Lett Math Phys 112 (8): 15, 2022), Molev introduced
analogues of the odd reflections for the super Yangian Y (gl m| n) and obtained a transition …

Extending the method proposed in [1], we derive QQ-relations (functional relations among
Baxter Q-functions) and T-functions (eigenvalues of transfer matrices) for fusion vertex …

We study the Gaudin models associated with gl (1| 1). We give an explicit description of the
algebra of Hamiltonians (Gaudin Hamiltonians) acting on tensor products of polynomial …

The relation between special connections on the projective line, called Miura opers, and the
spectra of integrable models of Gaudin type provides an important example of the geometric …

A bstract We study the\({\mathfrak {gl}} _ {m\mid n}\) XXX spin chains defined on tensor
products of highest weight\({\mathfrak {gl}} _ {m\mid n}\)-modules. We show that the on-shell …

Let M be a tensor product of unitarizable irreducible highest weight modules over the Lie
(super) algebra G, where G is gl (m| n), osp (2 m| 2 n) or spo (2 m| 2 n). We show, using …

We studied the Gaudin models with gl (1| 1) symmetry that are twisted by a diagonal matrix
and defined on tensor products of polynomial evaluation gl (1| 1)[t]-modules. Namely, we …

I study representation theory of quantum groups and its deep connections to quantum
integrable systems, geometric Langlands correspondence, using a combination of …