RT Journal Article
T1 Yang-Mills model for centrally extended 2D gravity
A1 Abentin de Gregorio, Sara
A1 Ruiz Ruiz, Fernando
AB 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.
PB Amer Physical Soc
SN 2470-0010
YR 2022
FD 2022-01-24
LK https://hdl.handle.net/20.500.14352/71336
UL https://hdl.handle.net/20.500.14352/71336
LA eng
NO © Amer Physical Soc 2022The authors wish to thank Thomas Hartman for correspondence. This work was partially funded by the Spanish Ministry of Education and Science through Grant No. PGC2018-095382-B-I00. S. A. acknowledges Universidad Complutense Madrid and Banco Santander for support through a predoctoral fellowship.
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid/Banco Santander
DS Docta Complutense
RD 10 abr 2025