Constructing the independent basis of total derivative curvature-dependent terms in $6D$

Abstract

Total derivative terms play an important role in the integration of conformal anomaly. In four dimensional space $4D$ there is only one such term, namely $\square R$. In the case of six dimensions $6D$ the structure of surface terms is more complicated, and it is useful to construct a basis of linear independent total derivative terms. We briefly review the general scheme of integrating anomaly and present the reduction of the minimal set of the surface terms in $6D$ from eight to seven.

Modified and seriously extended version, prepared for submission to a journal. The extention mainly concerns the origins of the identity which restricts the surface terms

References in corpus (6)

• A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• From stable to unstable anomaly-induced inflation
• Irreducible forms for the metric variations of the action terms of sixth-order gravity and approximated stress-energy tensor
• On the conformal properties of topological terms in even dimensions
• Integration of trace anomaly in 6D

Cited by in corpus (2)

• Casimir energy on the sphere and 6D CFT trace anomaly
• Addendum: Weyl cocycles, (Class.Quantum Grav. 3 (1986) 635)