Covariant form for the conserved currents of the sine-Gordon and Liouville theories

D. Z. Freedman; A. Lerda; S. Penati

doi:10.1016/0370-2693(90)91161-4

Covariant form for the conserved currents of the sine-Gordon and Liouville theories

D. Z. Freedman
, A. Lerda
, S. Penati

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

A conserved covariant fourth rank tensor current J_;αβγ is constructed for these models both in flat and constant curvature space. For flat space, ∫ dx⁺J₊₊₊₊ and its parity conjugate agree with well known results for the lowest grade sine-Gordon conserved charges. However potentially new charges such as ∫ dx⁺J_+++- and ∫ dx⁺J_+++αε{lunate}^αβx_β either vanish or fail to be conserved because J_μαβγ is not symmetric in μ↔γ. There is one curious exception for sine-Gordon models in anti-de Sitter space.

Lingua originale	Inglese
pagine (da-a)	102-106
Numero di pagine	5
Rivista	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	250
Numero di pubblicazione	1-2
DOI	https://doi.org/10.1016/0370-2693(90)91161-4
Stato di pubblicazione	Pubblicato - 1 nov 1990
Pubblicato esternamente	Sì

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10.1016/0370-2693(90)91161-4

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title = "Covariant form for the conserved currents of the sine-Gordon and Liouville theories",

abstract = "A conserved covariant fourth rank tensor current J;αβγ is constructed for these models both in flat and constant curvature space. For flat space, ∫ dx+J++++ and its parity conjugate agree with well known results for the lowest grade sine-Gordon conserved charges. However potentially new charges such as ∫ dx+J+++- and ∫ dx+J+++αε\{lunate\}αβxβ either vanish or fail to be conserved because Jμαβγ is not symmetric in μ↔γ. There is one curious exception for sine-Gordon models in anti-de Sitter space.",

author = "Freedman, \{D. Z.\} and A. Lerda and S. Penati",

note = "Funding Information: 3 Work partially supported by the National Science Founda-tion, under grant PHY-88-18853 and by INFN, Sezione di Milano. Funding Information: 1 Work partially supported by the National Science Founda-tion, under grant \# 87-08447 and by the US Department of Energy, under grant DE-AC02-76ER03069. Funding Information: 2 Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069.",

year = "1990",

month = nov,

day = "1",

doi = "10.1016/0370-2693(90)91161-4",

language = "English",

volume = "250",

pages = "102--106",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

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T1 - Covariant form for the conserved currents of the sine-Gordon and Liouville theories

AU - Freedman, D. Z.

AU - Lerda, A.

AU - Penati, S.

N1 - Funding Information: 3 Work partially supported by the National Science Founda-tion, under grant PHY-88-18853 and by INFN, Sezione di Milano. Funding Information: 1 Work partially supported by the National Science Founda-tion, under grant # 87-08447 and by the US Department of Energy, under grant DE-AC02-76ER03069. Funding Information: 2 Work partially supported by the US Department of Energy, under grant DE-AC02-76ER03069.

PY - 1990/11/1

Y1 - 1990/11/1

N2 - A conserved covariant fourth rank tensor current J;αβγ is constructed for these models both in flat and constant curvature space. For flat space, ∫ dx+J++++ and its parity conjugate agree with well known results for the lowest grade sine-Gordon conserved charges. However potentially new charges such as ∫ dx+J+++- and ∫ dx+J+++αε{lunate}αβxβ either vanish or fail to be conserved because Jμαβγ is not symmetric in μ↔γ. There is one curious exception for sine-Gordon models in anti-de Sitter space.

AB - A conserved covariant fourth rank tensor current J;αβγ is constructed for these models both in flat and constant curvature space. For flat space, ∫ dx+J++++ and its parity conjugate agree with well known results for the lowest grade sine-Gordon conserved charges. However potentially new charges such as ∫ dx+J+++- and ∫ dx+J+++αε{lunate}αβxβ either vanish or fail to be conserved because Jμαβγ is not symmetric in μ↔γ. There is one curious exception for sine-Gordon models in anti-de Sitter space.

UR - https://www.scopus.com/pages/publications/13844308527

U2 - 10.1016/0370-2693(90)91161-4

DO - 10.1016/0370-2693(90)91161-4

M3 - Article

SN - 0370-2693

VL - 250

SP - 102

EP - 106

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Covariant form for the conserved currents of the sine-Gordon and Liouville theories

Abstract

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