Generating functional for the energy-momentum tensor in two-dimensional conformal field theory

Z. Haba

doi:10.1103/PhysRevD.41.724

Rapid Communication
Access by Xinjiang University

Generating functional for the energy-momentum tensor in two-dimensional conformal field theory

Z. Haba^*

Research Center Bielefeld-Bochum-Stochastics (BIBOS), Bielefeld University, Bochum, Federal Republic of Germany
Institute of Mathematics, Ruhr-University, Bochum, Federal Republic of Germany

^*Permanent address: Institute of Theoretical Physics, University of Wroclaw, Poland.

PDF

Phys. Rev. D 41, 724(R) – Published 15 January, 1990

DOI: https://doi.org/10.1103/PhysRevD.41.724

Abstract

We discuss a power-series solution for the generating functional $Z [h]$ of the two-dimensional (Euclidean) energy-momentum tensor resulting from Belavin-Polyakov-Zamolodchikov Ward identities. We derive another formula for $Z [h]$ in terms of a quasiconformal transformation determined by the Beltrami differential $h$ .

References (7)

A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B241, 383 (1984)
A. M. Polyakov, Mod. Phys. Lett. A 2, 893 (1987)
V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov, Mod. Phys. Lett. A 3, 819 (1988)
N. S. Hawley and M. Schiffer, Acta Math. 115, 199 (1966)
A. Alekseev and S. Shatashvili, Nucl. Phys. B323, 719 (1989) M. Bershadsky and H. Ooguri, Report No. IASSNS-HEP-89/09 (unpublished)
K. Yoshida, Mod. Phys. Lett. A 4, 71 (1989)
A. H. Chamseddine and M. Reuter, CERN Report No. CERN-TH 5142/88 (unpublished)

[c1] A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Nucl. Phys. B241, 383 (1984)

[c2] A. M. Polyakov, Mod. Phys. Lett. A 2, 893 (1987)

[c3] V. G. Knizhnik, A. M. Polyakov, and A. B. Zamolodchikov, Mod. Phys. Lett. A 3, 819 (1988)

[c4] N. S. Hawley and M. Schiffer, Acta Math. 115, 199 (1966)

[c5] A. Alekseev and S. Shatashvili, Nucl. Phys. B323, 719 (1989) M. Bershadsky and H. Ooguri, Report No. IASSNS-HEP-89/09 (unpublished)

[c6] K. Yoshida, Mod. Phys. Lett. A 4, 71 (1989)

[c7] A. H. Chamseddine and M. Reuter, CERN Report No. CERN-TH 5142/88 (unpublished)

Physical Review D

Export citation

Export citation

Generating functional for the energy-momentum tensor in two-dimensional conformal field theory

Abstract

References (7)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation