Conformally covariant differential operators: symmetric tensor fields
Open Access
- 1 February 1998
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 15 (2) , 273-280
- https://doi.org/10.1088/0264-9381/15/2/003
Abstract
We extend previous work on conformally covariant differential operators to consider the case of second-order operators acting on symmetric traceless tensor fields. The corresponding flat space Green function is explicitly constructed and shown to be in accord with the requirements of conformal invariance.Keywords
All Related Versions
This publication has 19 references indexed in Scilit:
- Conformally covariant differential operators: properties and applicationsClassical and Quantum Gravity, 1997
- Nonlinear phenomena in the spectral theory of geometric linear differential operatorsProceedings of Symposia in Pure Mathematics, 1996
- The one-loop effective action and trace anomaly in four dimensionsNuclear Physics B, 1995
- Asymptotic behaviors of the heat kernel in covariant perturbation theoryJournal of Mathematical Physics, 1994
- The basis of nonlocal curvature invariants in quantum gravity theory. Third orderJournal of Mathematical Physics, 1994
- Covariant perturbation theory (II). Second order in the curvature. General algorithmsNuclear Physics B, 1990
- Beyond the Schwinger-DeWitt technique: Converting loops into trees and in-in currentsNuclear Physics B, 1987
- Differential operators cononically associated to a conformal structure.MATHEMATICA SCANDINAVICA, 1985
- Conformally convariant equations on differential formsCommunications in Partial Differential Equations, 1982
- Quantum geometry of bosonic stringsPhysics Letters B, 1981