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Bosonic vertex representations of the toroidal superalgebras in type $D (m, n)$ $D (m, n)$

Naihuan Jing

Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

E-mail Address: jing@math.ncsu.edu

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and

Chongbin Xu

School of Mathematics & Information, Wenzhou University, Wenzhou, Zhejiang 325035, China

E-mail Address: xuchongbin1977@126.com

Corresponding author.

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https://doi.org/10.1142/S0219498818500573Cited by:0 (Source: Crossref)

Abstract

In this paper, vertex representations of the 2-toroidal Lie superalgebras of type $D (m, n)$ $D (m, n)$ are constructed using both bosonic fields and vertex operators based on their loop algebraic presentation.

Communicated by L. Bokut

Keywords:

AMSC: 17B60, 17B67, 17B69, 17A45, 81R10

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