Quantum current operators-II difference equations of quantum current operators and quantum parafermion construction

Jintai Ding; Boris Feigin

doi:10.2977/prims/1195145452

Quantum current operators-II difference equations of quantum current operators and quantum parafermion construction

Jintai Ding^*
, Boris Feigin

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we prove that, for the integrable modules of U_q(s-fraktur signl-fraktur sign(2)) of level k+1, x^±(z)x^±(zq ^±2)⋯x^±(zq^±2k) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafers-fraktur signl-fraktur sign mions of U_q(s-fraktur signl-fraktur sign(2)).

Original language	English
Pages (from-to)	285-300
Number of pages	16
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	33
Issue number	2
DOIs	https://doi.org/10.2977/prims/1195145452
Publication status	Published - Mar 1997
Externally published	Yes

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abstract = "For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we prove that, for the integrable modules of Uq(s-fraktur signl-fraktur sign(2)) of level k+1, x±(z)x±(zq ±2)⋯x±(zq±2k) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafers-fraktur signl-fraktur sign mions of Uq(s-fraktur signl-fraktur sign(2)).",

author = "Jintai Ding and Boris Feigin",

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AU - Feigin, Boris

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AB - For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we prove that, for the integrable modules of Uq(s-fraktur signl-fraktur sign(2)) of level k+1, x±(z)x±(zq ±2)⋯x±(zq±2k) are vertex operators satisfying certain q-difference equations, and we derive the quantum parafers-fraktur signl-fraktur sign mions of Uq(s-fraktur signl-fraktur sign(2)).

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JF - Publications of the Research Institute for Mathematical Sciences

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ER -

Quantum current operators-II difference equations of quantum current operators and quantum parafermion construction

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