TY - JOUR
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 - http://www.scopus.com/inward/record.url?scp=13844308527&partnerID=8YFLogxK
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 -