TY - JOUR

T1 - Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra

AU - Concha, Patrick

AU - Merino, Nelson

AU - Miskovic, Olivera

AU - Rodríguez, Evelyn

AU - Salgado-Rebolledo, Patricio

AU - Valdivia, Omar

N1 - Funding Information:
Article funded by SCOAP3.
Publisher Copyright:
© 2018, The Author(s).

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the bms3 algebra with three independent central charges. This symmetry arises from a gravity action invariant under the local Maxwell group and is characterized by presence of Abelian generators which modify the commutation relations of the super-translations in the standard bms3 algebra. Our analysis is based on the charge algebra of the theory in the BMS gauge, which includes the known solutions of standard asymptotically flat case. The field content of the theory is different than the one of General Relativity, but it includes all its geometries as particular solutions. In this line, we also study the stationary solutions of the theory in ADM form and we show that the vacuum energy and the vacuum angular momentum of the stationary configuration are influenced by the presence of the gravitational Maxwell field.

AB - We study a three-dimensional Chern-Simons gravity theory based on the Maxwell algebra. We find that the boundary dynamics is described by an enlargement and deformation of the bms3 algebra with three independent central charges. This symmetry arises from a gravity action invariant under the local Maxwell group and is characterized by presence of Abelian generators which modify the commutation relations of the super-translations in the standard bms3 algebra. Our analysis is based on the charge algebra of the theory in the BMS gauge, which includes the known solutions of standard asymptotically flat case. The field content of the theory is different than the one of General Relativity, but it includes all its geometries as particular solutions. In this line, we also study the stationary solutions of the theory in ADM form and we show that the vacuum energy and the vacuum angular momentum of the stationary configuration are influenced by the presence of the gravitational Maxwell field.

KW - Classical Theories of Gravity

KW - Conformal and W Symmetry

KW - Gauge-gravity correspondence

KW - Space-Time Symmetries

UR - http://www.scopus.com/inward/record.url?scp=85054703887&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2018)079

DO - 10.1007/JHEP10(2018)079

M3 - Article

AN - SCOPUS:85054703887

SN - 1126-6708

VL - 2018

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 79

ER -