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Abstract

In this work we consider a scalar-tensor gravity action in six dimensions and study its finiteness through conformal renormalization. This action comprises a purely metric sector, defined by renormalized Einstein gravity, coupled to a scalar sector derived from the Lovelock gravity scalar uplift in six dimensions. For static black holes with both conformally flat and non-conformally flat transverse sections, the renormalized action yields finite results. In conformally flat cases, finiteness is achieved solely through a topological Euler term with a specific coupling. For non-conformally flat transverse sections, an additional boundary current term with a distinct coupling is required tocancel subleading divergences. These couplings match those derived from purely metric conformal embeddings in six dimensions, validating consistency across frameworks.

The results indicate that starting from renormalized Lovelock theory, one can use the scalar conformal uplift to obtain a renormalized scalar-tensor theory with a non-minimally coupled scalar, thus extending conformal renormalization as a procedure to cases with (conformally coupled) matter.

Details

1010268
Title
Renormalization of Scalar-Tensor AdS Gravity Theories in 6D
Number of pages
104
Publication year
2025
Degree date
2025
School code
1770
Source
MAI 87/6(E), Masters Abstracts International
ISBN
9798270215804
Committee member
Faraggi, Alberto
University/institution
Pontificia Universidad Catolica de Chile (Chile)
University location
Chile
Degree
M.S.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
32364642
ProQuest document ID
3283374694
Document URL
https://www.proquest.com/dissertations-theses/renormalization-scalar-tensor-ads-gravity/docview/3283374694/se-2?accountid=208611
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Database
ProQuest One Academic