TY - JOUR

T1 - Vacuum energy in asymptotically flat 2 + 1 gravity

AU - Miskovic, Olivera

AU - Olea, Rodrigo

AU - Roy, Debraj

N1 - Funding Information:
The authors would like to thank Glenn Barnich, Stephane Detournay and Hern?n Gonz?lez for useful comments. This work was supported by the Chilean FONDECYT Grants No. 3160139 and No. 1131075, VRIEA-PUCV grants No. 039.345/2016 (O.M.), No. 37.0/2015 (D.R.), UNAB Grant DI-1336-16/RG and CONICYT Grant DPI 20140115 (R.O.).

PY - 2017/4/10

Y1 - 2017/4/10

N2 - We compute the vacuum energy of three-dimensional asymptotically flat space based on a Chern–Simons formulation for the Poincaré group. The equivalent action is nothing but the Einstein–Hilbert term in the bulk plus half of the Gibbons–Hawking term at the boundary. The derivation is based on the evaluation of the Noether charges in the vacuum. We obtain that the vacuum energy of this space has the same value as the one of the asymptotically flat limit of three-dimensional anti-de Sitter space.

AB - We compute the vacuum energy of three-dimensional asymptotically flat space based on a Chern–Simons formulation for the Poincaré group. The equivalent action is nothing but the Einstein–Hilbert term in the bulk plus half of the Gibbons–Hawking term at the boundary. The derivation is based on the evaluation of the Noether charges in the vacuum. We obtain that the vacuum energy of this space has the same value as the one of the asymptotically flat limit of three-dimensional anti-de Sitter space.

UR - http://www.scopus.com/inward/record.url?scp=85012886121&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2017.02.006

DO - 10.1016/j.physletb.2017.02.006

M3 - Article

AN - SCOPUS:85012886121

SN - 0370-2693

VL - 767

SP - 258

EP - 263

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -