Drinfeld comultiplication and vertex operators

Jintai Ding; Kenji Iohara

doi:10.1016/S0393-0440(96)00041-1

Drinfeld comultiplication and vertex operators

Jintai Ding
, Kenji Iohara^*

^*Corresponding author for this work

Kyoto University

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

9 Citations (Scopus)

Abstract

For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of U_q (s-fraktur sign̂l-fraktur sign_n) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of U_q(s-fraktur sign̂l-fraktur sign_n) and discuss its connection with quantum boson-fermion correspondence.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Geometry and Physics
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/S0393-0440(96)00041-1
Publication status	Published - Aug 1997
Externally published	Yes

Keywords

Drinfeld comultiplication
Quantum affine algebras
Vertex operators

Access to Document

10.1016/S0393-0440(96)00041-1

Cite this

@article{58e2753520434072997fce8822257e69,

title = "Drinfeld comultiplication and vertex operators",

abstract = "For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of Uq (s-fraktur sig{\^n}l-fraktur signn) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of Uq(s-fraktur sig{\^n}l-fraktur signn) and discuss its connection with quantum boson-fermion correspondence.",

keywords = "Drinfeld comultiplication, Quantum affine algebras, Vertex operators",

author = "Jintai Ding and Kenji Iohara",

year = "1997",

month = aug,

doi = "10.1016/S0393-0440(96)00041-1",

language = "English",

volume = "23",

pages = "1--13",

journal = "Journal of Geometry and Physics",

issn = "0393-0440",

number = "1",

}

TY - JOUR

T1 - Drinfeld comultiplication and vertex operators

AU - Ding, Jintai

AU - Iohara, Kenji

PY - 1997/8

Y1 - 1997/8

N2 - For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of Uq (s-fraktur sign̂l-fraktur signn) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of Uq(s-fraktur sign̂l-fraktur signn) and discuss its connection with quantum boson-fermion correspondence.

AB - For the current realization of the quantum affine algebras, Drinfeld gave a simple comultiplication of the quantum current operators. With this comultiplication, we study the related vertex operators for the case of Uq (s-fraktur sign̂l-fraktur signn) and give an explicit bosonization of these new vertex operators. We use these vertex operators to construct the quantum current operators of Uq(s-fraktur sign̂l-fraktur signn) and discuss its connection with quantum boson-fermion correspondence.

KW - Drinfeld comultiplication

KW - Quantum affine algebras

KW - Vertex operators

UR - https://www.scopus.com/pages/publications/0031206564

U2 - 10.1016/S0393-0440(96)00041-1

DO - 10.1016/S0393-0440(96)00041-1

M3 - Article

AN - SCOPUS:0031206564

SN - 0393-0440

VL - 23

SP - 1

EP - 13

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

ER -

Drinfeld comultiplication and vertex operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this