Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.
Integral Presentations for the Universal R-matrix
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abstract
We present an integral formula for the universal R-matrix of quantum affine algebra with 'Drinfeld comultiplication'. We show that the properties of the universal R-matrix follow from the factorization properties of the cycles in proper configuration spaces. For general g we conjecture that such cycles exist and unique. For $U_q(\hat{sl}_2)$ describe precisely the cycles and present a new simple expression for the universal R-matrix as a result of calculation of corresponding integrals.
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2026 2verdicts
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Serre relations in Yangian doubles are reformulated as quadratic commutation relations between composed currents for classical Lie algebras.
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Yangian Doubles and off-Shell Bethe Vectors
Off-shell Bethe vectors are constructed via Yangian double currents and verified to satisfy defining properties previously used for on-shell vectors in ggo-invariant models.
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Serre Relations in Yangian Doubles
Serre relations in Yangian doubles are reformulated as quadratic commutation relations between composed currents for classical Lie algebras.