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Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep12(2021)130
Abstract: Abstract We investigate the quasi-Hopf twist of the quantum toroidal algebra of $$ {\mathfrak{gl}}_1 $$ gl 1 as an elliptic deformation. Under the quasi-Hopf twist the underlying algebra remains the same, but the coproduct is…
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Keywords:
nekrasov factor;
quasi hopf;
elliptic nekrasov;
hopf twist ... See more keywords
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Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2020.08.012
Abstract: Abstract We discuss relations between some category-theoretical notions for a finite tensor category and cointegrals on a quasi-Hopf algebra. Specifically, for a finite-dimensional quasi-Hopf algebra H, we give an explicit description of categorical cointegrals of…
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Keywords:
quasi hopf;
categorical aspects;
category;
cointegrals quasi ... See more keywords
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Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab370f
Abstract: We establish the existence of a quasi-Hopf algebraic structure underlying the Leigh-Strassler N=1 superconformal marginal deformations of the N=4 Super-Yang-Mills theory. The scalar-sector R-matrix of these theories, which is related to their one-loop spin chain…
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Keywords:
deformations quasi;
marginal deformations;
quasi hopf;
hopf algebras ... See more keywords