Abstract
The flat-space conformal invariance and the curved-space Weyl invariance are simply related in dimensions greater than two. In two dimensions, the Liouville theory presents an exceptional situation, which we examine here.
Similar content being viewed by others
References
C. Callan, S. Coleman, and R. Jackiw, Ann. Phys., 59, 42 (1970).
B. Zumino, “Effective lagrangians and broken symmetries,” in: Lectures on Elementary Particles and Quantum Field Theory (Brandeis Univ. Summer Lectures 1970, S. Deser, M. Grisaru, and H. Pendleton, eds.), Vol. 2, MIT, Cambridge, Mass. (1971), p. 437.
A. Iorio, L. O’Raifeartaigh, I. Sachs, and C. Wiesendanger, Nucl. Phys. B, 495, 433 (1997).
S. Deser and R. Jackiw, Internat. J. Mod. Phys. B, 10, 1499 (1996).
A. M. Polyakov, Gauge Fields and Strings (Contemporary Concepts in Physics, Vol. 3), Harwood, Chur, Switzerland (1987).
Author information
Authors and Affiliations
Additional information
__________
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 148, No. 1, pp. 80–88, July, 2006.
Rights and permissions
About this article
Cite this article
Jackiw, R. Weyl symmetry and the Liouville theory. Theor Math Phys 148, 941–947 (2006). https://doi.org/10.1007/s11232-006-0090-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11232-006-0090-9