We prove that the singularities of the -matrix () of the minimal quantization of the adjoint representation of the Yangian () of a finite dimensional simple Lie algebra are the opposite of the roots of the monic polynomial () entering in the OPE expansions of quantum fields of conformal weight 3/2 of the universal minimal affine -algebra at level attached to

Yangians versus minimal -algebras: A surprising coincidence / Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - (2020). [10.1142/S0219199720500364]

Yangians versus minimal -algebras: A surprising coincidence

Paolo Papi
2020

Abstract

We prove that the singularities of the -matrix () of the minimal quantization of the adjoint representation of the Yangian () of a finite dimensional simple Lie algebra are the opposite of the roots of the monic polynomial () entering in the OPE expansions of quantum fields of conformal weight 3/2 of the universal minimal affine -algebra at level attached to
2020
Yangian; R-matrix; minimal affine W-algebra; operator product expansion
01 Pubblicazione su rivista::01a Articolo in rivista
Yangians versus minimal -algebras: A surprising coincidence / Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - (2020). [10.1142/S0219199720500364]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1437584
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