Topological terms and the Misner string entropy

Luca Ciambelli, Cristóbal Corral, José Figueroa, Gastón Giribet, Rodrigo Olea

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The method of topological renormalization in anti-de Sitter (AdS) gravity consists in adding to the action a topological term which renders it finite, defining at the same time a well-posed variational problem. Here, we use this prescription to work out the thermodynamics of asymptotically locally anti-de Sitter (AlAdS) spacetimes, focusing on the physical properties of the Misner strings of both the Taub-NUT-AdS and Taub-Bolt-AdS solutions. We compute the contribution of the Misner string to the entropy by treating on the same footing the AdS and AlAdS sectors. As topological renormalization is found to correctly account for the physical quantities in the parity-preserving sector of the theory, we then investigate the holographic consequences of adding also the Chern-Pontryagin topological invariant to the bulk action; in particular, we discuss the emergence of the parity-odd contribution in the boundary stress tensor.

Original languageEnglish
Article number024052
JournalPhysical Review D
Issue number2
Publication statusPublished - 27 Jan 2021

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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