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Classical Limit of the Scaled Elliptic Algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) (1999)

Khoroshkin, S. ; Lebede, D. ; Pakuliak, S. ; [weitere]

Springer

Compositio mathematica 115 (1999), S. 185-204

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ISSN: 1570-5846

Schlagwort(e): quantum elliptic algebra ; distributions ; bialgebra ; finite-dimensional representations.

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract The classical limit of the scaled elliptic algebra $$\mathcal{A}$$ ħ,η ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic sl2 valued functions on a strip and as an extended algebra of decreasing automorphic sl2 valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $$\mathcal{A}$$ q,p ( $$\widetilde{\mathfrak{s}\mathfrak{l}}_2$$ ) is also briefly presented.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1000645909064

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Digitale Medien

Traces of Intertwining Operators for the Yangian Double (1997)

KHOROSHKIN, S. ; LEBEDEV, D. ; PAKULIAK, S.

Springer

Letters in mathematical physics 41 (1997), S. 31-47

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ISSN: 1573-0530

Schlagwort(e): Yangian ; intertwining operators ; form-factor

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: Abstract The traces over infinite-dimensional representations of the central extended Yangian double for the product of operators which intertwine these representations are calculated. For the special combinations of the intertwining operators, the traces are identified with form factors of local operators in the SU(2)-invariant Thirring model. This identification is based on the identities which are deformed analogs of the Gauss–Manin connection identities for the hyperelliptic curves.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1023/A:1007372113466

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