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A Quasi-Hopf algebra interpretation of quantum 3-j and 6-j symbols and difference equations

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abstract

We consider the universal solution of the Gervais-Neveu-Felder equation in the ${\cal U}_q(sl_2)$ case. We show that it has a quasi-Hopf algebra interpretation. We also recall its relation to quantum 3-j and 6-j symbols. Finally, we use this solution to build a q-deformation of the trigonometric Lam\'e equation.

fields

hep-th 1

years

2024 1

verdicts

CONDITIONAL 1

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Hidden Symmetries of 4D N=2 Gauge Theories

hep-th · 2024-11-18 · conditional · novelty 6.0

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 is invariant.

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  • Hidden Symmetries of 4D N=2 Gauge Theories hep-th · 2024-11-18 · conditional · none · ref 42 · internal anchor

    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 is invariant.