2017
DOI: 10.1016/j.nuclphysb.2017.07.006
|View full text |Cite
|
Sign up to set email alerts
|

Galilean contractions of W -algebras

Abstract: Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as W -algebras. Known examples include contractions of pairs of the Virasoro algebra, its N = 1 superconformal extension, or the W 3 algebra. Here, we introduce a contraction prescription of the corresponding operator-product algebras, or equivalently, a prescription for contracting tensor products of vertex algebras. With this, we work out the Galilean conformal algebra… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

2
45
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
5

Relationship

2
3

Authors

Journals

citations
Cited by 14 publications
(47 citation statements)
references
References 157 publications
(209 reference statements)
2
45
0
Order By: Relevance
“…In the general construction, these algebras are all assumed identical, up to their central charges, although asymmetric contractions are possible, as we discuss briefly. These results solidify ideas put forward in [14] and give rise to new infinite hierarchies of higher-order Galilean conformal algebras.…”
Section: Introductionsupporting
confidence: 76%
See 4 more Smart Citations
“…In the general construction, these algebras are all assumed identical, up to their central charges, although asymmetric contractions are possible, as we discuss briefly. These results solidify ideas put forward in [14] and give rise to new infinite hierarchies of higher-order Galilean conformal algebras.…”
Section: Introductionsupporting
confidence: 76%
“…where {Q} represents the sum over n. We refer to [14,39] for more details on the algebraic structure of an OPA.…”
Section: Galilean Contractions 21 Operator-product Algebras and Starmentioning
confidence: 99%
See 3 more Smart Citations