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Elliptic quantum groups
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This note for the Proceedings of the International Congress of Mathematical Physics gives an account of a construction of an ``elliptic quantum group'' associated with each simple classical Lie algebra. It is closely related to elliptic face models of statistical mechanics, and, in its semiclassical limit, to the Wess-Zumino-Witten model of conformal field theory on tori.
Forward citations
Cited by 3 Pith papers
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On correlation functions of the open XYZ spin 1/2 chain with boundary fields related by a constraint
Exact multiple sums and multiple integrals are derived for elementary correlation-function building blocks of the open XYZ spin-1/2 chain with one constraint on its six boundary fields.
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Long-range to the Rescue of Yang-Baxter II
A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.
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Hidden Symmetries of 4D N=2 Gauge Theories
The apparently broken SU(4) R-symmetry of the Z2 orbifold of N=4 SYM is recovered as a Lie algebroid and, after marginal deformation, as a Drinfeld-twisted non-associative algebroid under which the planar Lagrangian i...
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