2026-06-29T07:42:21Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/713362023-08-25T13:20:13Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Abentin de Gregorio, Sara
author
Ruiz Ruiz, Fernando
2023-06-22T10:40:49Z
2023-06-22T10:40:49Z
2022-01-24
2470-0010
10.1103/PhysRevD.105.024054
https://hdl.handle.net/20.500.14352/71336
http://dx.doi.org/10.1103/PhysRevD.105.024054
https://journals.aps.org/
A Yang-Mills theory linear in the scalar curvature for two-dimensional gravity with symmetry generated by the semidirect product formed with the Lie derivative of the algebra of diffeomorphisms with the twodimensional Abelian algebra is formulated. As compared with dilaton models, the role of the dilaton is played by the dual field strength of a U(1) gauge field. All vacuum solutions are found. They are either black holes or have constant scalar curvature. Those with constant scalar curvature have constant dual field strength. In particular, solutions with vanishing cosmological constant but nonzero scalar curvature exist. In the conformal-Lorenz gauge, the model has a conformal field theory interpretation whose residual symmetry combines holomorphic diffeomorphisms with a subclass of U(1) gauge transformations while preserving two-dimensional de Sitter and anti-de Sitter boundary conditions. This is the same symmetry as in Jackiw-Teitelboim-Maxwell gravity considered by Hartman and Strominger. It is argued that this is the only nontrivial Yang-Mills model linear in the scalar curvature that exists for real Lie algebras of dimension four.
eng
Atribución 3.0 España
Yang-Mills model for centrally extended 2D gravity
journal article
URL
https://docta.ucm.es/bitstreams/0d21deb0-42f5-4e31-8926-f1010c42fa50/download
File
MD5
f1fb1f9f543bda202c4bc540d2ad145e
284908
application/pdf
RuizFR40.pdf