English

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

General Relativity and Quantum Cosmology 2019-03-27 v3

Abstract

Total derivative terms play an important role in the integration of conformal anomaly. In four dimensional space 4D4D there is only one such term, namely R\,{\square}R. In the case of six dimensions 6D6D 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 6D6D from eight to seven.

Keywords

Cite

@article{arxiv.1812.01140,
  title  = {Constructing the independent basis of total derivative curvature-dependent terms in $6D$},
  author = {Fabricio M. Ferreira and Ilya L. Shapiro},
  journal= {arXiv preprint arXiv:1812.01140},
  year   = {2019}
}

Comments

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