135 citations · 516 across the 43 of their papers we have counts for
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Transfer matrices of rational spin chains via novel BGG-type resolutions
Rouven Frassek, Ivan Karpov, Alexander Tsymbaliuk
We obtain BGG-type formulas for transfer matrices of irreducible finite-dimensional representations of the classical Lie algebras , whose highest weight is a multiple…
Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
Rouven Frassek, Alexander Tsymbaliuk
Generalizing our recent joint paper with Vasily Pestun (arXiv:2001.04929), we construct a family of rational Lax matrices, polynomial in the spectral param…
Surface defects in gauge theory and KZ equation
Nikita Nekrasov, Alexander Tsymbaliuk
We study the regular surface defect in the Omega-deformed four-dimensional supersymmetric gauge theory with gauge group SU(N) with 2N hypermultiplets in fundamental representation.…
Quantum loop groups and shuffle algebras via Lyndon words
Andrei Neguţ, Alexander Tsymbaliuk
We study PBW bases of the untwisted quantum loop group (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment…