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Conformal field theories from deformations of theories withWnsymmetry

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 06 Oct 2016Embargo end date: 01 May 2016 Belgium, Argentina English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 94 (issn: 2470-0010, eissn: 2470-0029, Copyright policy )
Authors: Babaro, Juan Pablo; Giribet, Gaston; Ranjbar Zidehi, Arash;

doi: 10.1103/physrevd.94.086001 , 10.48550/arxiv.1605.01933

arXiv: 1605.01933

handle: 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/253311 , 11336/49521

Conformal field theories from deformations of theories withWnsymmetry

Abstract

We construct a set of non-rational conformal field theories that consist of deformations of Toda field theory for sl(n). Besides conformal invariance, the theories still enjoy a remnant infinite-dimensional affine symmetry. The case n=3 is used to illustrate this phenomenon, together with further deformations that yield enhanced Kac-Moody symmetry algebras. For generic n we compute N-point correlation functions on the Riemann sphere and show that these can be expressed in terms of sl(n) Toda field theory correlation functions.

27 pages. Typos corrected. Discussion added

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Keywords

High Energy Physics - Theory, Physique, Algebras de vertices, FOS: Physical sciences, Généralités, Toda Field Theory, Teoria de campos conforme, High Energy Physics - Theory (hep-th), https://purl.org/becyt/ford/1.3, W_N symmetry, Non-rational Conformal Field Theory, https://purl.org/becyt/ford/1

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green