On certain generalizations of the Schrödinger-Virasoro algebra

Haisheng Li; Jiancai Sun

doi:10.1063/1.4936842

On certain generalizations of the Schrödinger-Virasoro algebra

Haisheng Li
, Jiancai Sun

Rutgers Camden, Mathematics

Rutgers, The State University

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

Abstract

We study certain generalizations of the Schrödinger-Virasoro algebra, introduced by Roger and Unterberger, in the context of vertex algebras. As the main result, we associate these Lie algebras with vertex algebras and their twisted modules with respect to semi-simple (not necessarily finite order) automorphisms, and we give a connection among these Lie algebras in terms of twisted current algebras of conformal Lie algebras.

Original language	American English
Article number	121701
Journal	Journal of Mathematical Physics
Volume	56
Issue number	12
DOIs	https://doi.org/10.1063/1.4936842
State	Published - Dec 1 2015

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.4936842

Cite this

@article{9186f3dd5df141ce8ea7a78ea5efa3a3,

title = "On certain generalizations of the Schr{\"o}dinger-Virasoro algebra",

abstract = "We study certain generalizations of the Schr{\"o}dinger-Virasoro algebra, introduced by Roger and Unterberger, in the context of vertex algebras. As the main result, we associate these Lie algebras with vertex algebras and their twisted modules with respect to semi-simple (not necessarily finite order) automorphisms, and we give a connection among these Lie algebras in terms of twisted current algebras of conformal Lie algebras.",

author = "Haisheng Li and Jiancai Sun",

note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.",

year = "2015",

month = dec,

day = "1",

doi = "10.1063/1.4936842",

language = "American English",

volume = "56",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "12",

}

TY - JOUR

T1 - On certain generalizations of the Schrödinger-Virasoro algebra

AU - Li, Haisheng

AU - Sun, Jiancai

PY - 2015/12/1

Y1 - 2015/12/1

N2 - We study certain generalizations of the Schrödinger-Virasoro algebra, introduced by Roger and Unterberger, in the context of vertex algebras. As the main result, we associate these Lie algebras with vertex algebras and their twisted modules with respect to semi-simple (not necessarily finite order) automorphisms, and we give a connection among these Lie algebras in terms of twisted current algebras of conformal Lie algebras.

AB - We study certain generalizations of the Schrödinger-Virasoro algebra, introduced by Roger and Unterberger, in the context of vertex algebras. As the main result, we associate these Lie algebras with vertex algebras and their twisted modules with respect to semi-simple (not necessarily finite order) automorphisms, and we give a connection among these Lie algebras in terms of twisted current algebras of conformal Lie algebras.

UR - https://www.scopus.com/pages/publications/84951922881

UR - https://www.scopus.com/pages/publications/84951922881#tab=citedBy

U2 - 10.1063/1.4936842

DO - 10.1063/1.4936842

M3 - Article

SN - 0022-2488

VL - 56

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

M1 - 121701

ER -

On certain generalizations of the Schrödinger-Virasoro algebra

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this