Asymptotic conformal symmetry at spatial infinity

Bakhoda S, Mahdieh F, Shojaie H (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Physical Review D American Physical Society

Book Volume: 100

Journal Issue: 12

DOI: 10.1103/PhysRevD.100.124051

Abstract

In this paper, the effects of adding spatial conformal symmetry to the asymptotic symmetry group of an asymptotically conformally flat spacetime are studied. It is shown that, in addition to the BMS group, only the dilations of the spatial conformal generators keep the corresponding boundary conditions conformally invariant under hypersurface deformations. We prove that in order to attain (i) a well-defined symplectic structure and (ii) a finite and (iii) integrable conserved charge, these conditions are satisfied simultaneously when admitting Regge-Teitelboim and twisted Henneaux-Troessaert parity conditions, where the latter also contain supertranslation invariance. The conserved dilation charge contains nonzero terms independent of the field variables, giving a nonvanishing effect on the boundary. The dilation symmetry also modifies the ADM mass, which is another physical effect of the conformal symmetry.

Authors with CRIS profile

Sepideh Bakhoda Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

Shahid Beheshti University of Medical Sciences IR Iran, Islamic Republic of (IR)

How to cite

APA:

Bakhoda, S., Mahdieh, F., & Shojaie, H. (2019). Asymptotic conformal symmetry at spatial infinity. Physical Review D, 100(12). https://doi.org/10.1103/PhysRevD.100.124051

MLA:

Bakhoda, Sepideh, Fatemeh Mahdieh, and Hossein Shojaie. "Asymptotic conformal symmetry at spatial infinity." Physical Review D 100.12 (2019).

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