Towards trigonometric deformation of s l ^ 2 coset VOA

B. Feigin; M. Jimbo; E. Mukhin

doi:https://doi.org/10.1063/1.5081799

Towards trigonometric deformation of s l ^ 2 coset VOA

B. Feigin, M. Jimbo, E. Mukhin

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss the quantization of the sl-2 coset vertex operator algebra WD(2,1;α) using the bosonization technique. We show that after quantization, there exist three families of commuting integrals of motion coming from three copies of the quantum toroidal algebra associated with gl2.

Original language	English
Article number	073507
Journal	Journal of Mathematical Physics
Volume	60
Issue number	7
DOIs	https://doi.org/10.1063/1.5081799
State	Published - 1 Jul 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Towards trigonometric deformation of s l ^ 2 coset VOA",

abstract = "We discuss the quantization of the sl-2 coset vertex operator algebra WD(2,1;α) using the bosonization technique. We show that after quantization, there exist three families of commuting integrals of motion coming from three copies of the quantum toroidal algebra associated with gl2.",

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AU - Jimbo, M.

AU - Mukhin, E.

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N2 - We discuss the quantization of the sl-2 coset vertex operator algebra WD(2,1;α) using the bosonization technique. We show that after quantization, there exist three families of commuting integrals of motion coming from three copies of the quantum toroidal algebra associated with gl2.

AB - We discuss the quantization of the sl-2 coset vertex operator algebra WD(2,1;α) using the bosonization technique. We show that after quantization, there exist three families of commuting integrals of motion coming from three copies of the quantum toroidal algebra associated with gl2.

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U2 - https://doi.org/10.1063/1.5081799

DO - https://doi.org/10.1063/1.5081799

M3 - مقالة

SN - 0022-2488

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 7

M1 - 073507

ER -

Towards trigonometric deformation of s l ^ 2 coset VOA

Abstract

All Science Journal Classification (ASJC) codes

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