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Covariant Noether Charge for Higher Dimensional Chern-Simons Terms

arXiv:1407.6364 · doi:10.1007/JHEP05(2015)041

Abstract

We construct a manifestly covariant differential Noether charge for theories with Chern-Simons terms in higher dimensional spacetimes. This is in contrast to Tachikawa's extension of the standard Lee-Iyer-Wald formalism which results in a non-covariant differential Noether charge for Chern-Simons terms. On a bifurcation surface, our differential Noether charge integrates to the Wald-like entropy formula proposed by Tachikawa in arXiv:hep-th/0611141.

45 pages; v2: minor corrections and JHEP version