Fetching the paper…

Reading the bibliography…

2015

Quantization of BMS$_3$ orbits: a perturbative approach

Garbarz, Alan, Leston, Mauricio

Original
PDF
Post on X

Understand

We compute characters of the BMS group in three dimensions.

The approach is the same as that performed by Witten in the case of coadjoint orbits of the Virasoro group in the eighties, within the large central charge approximation.
The procedure involves finding a Poisson bracket between classical variables and the corresponding commutator of observables in a Hilbert space, explaining why we call this a quantization.
We provide first a pedagogical warm up by applying the method to both SL(2,R) and Poincar\'{e}3 groups.

Quantization of BMS$_3$ orbits: a perturbative approach · Around

Built on

E. P. Wigner, On unitary representations of the inhomogeneous Lorentz group
1939
Earlier work this paper cites.
M. F. Atiyah, R. Bott, A Lefschetz fixed-point formula for elliptic differential operators
1966
Earlier work this paper cites.
H. Joos, R. Schrader, On the primitive characters of the Poincaré group
1968
Earlier work this paper cites.
G. Fuchs, P. Renouard, Characters of Poincaré group
1970
Earlier work this paper cites.
R. Goodman, N. R. Wallach, Projective Unitary Positive-Energy Representations of Diff ( S 1 ) (S^{1})
1985
Earlier work this paper cites.

Similar

E. Witten, Coadjoint Orbits of the Virasoro Group
1988
Cited alongside, same era.
M. Bañados, C. Teitelboim, J. Zanelli, The Black hole in three-dimensional space-time
1993
Cited alongside, same era.
J. Balog, L. Feher, L. Palla, Coadjoint orbits of the Virasoro algebra and the global Liouville equation
1998
Cited alongside, same era.
A. Garbarz, M. Leston, Classification of Boundary Gravitons in AdS 3 Gravity
Original
2014
Cited alongside, same era.
G. Barnich, B. Oblak, Holographic positive energy theorems in three-dimensional gravity
Original
2014
Cited alongside, same era.
K-H. Neeb, H. Salmasian, Classification of positive energy representations of the Virasoro group
Original
Cited in the paper.
B. Oblak, Characters of the BMS Group in Three Dimensions
Original
Cited in the paper.
M. Farinati, A. Garbarz, G. Giribet, M. Leston, in preparation
Cited in the paper.

Then

G. Barnich, B. Oblak, Notes on the BMS group in three dimensions: I. Induced representations
Original
2014
Later among the works it cites.
G. Barnich, B. Oblack, Notes on the BMS group in three dimensions: II. Coadjoint representation
Original
2015
Closest in time.
J. Raeymaekers, Quantization of conical spaces in 3D gravity
Original
2015
Closest in time.
G. Barnich, H. Gonzalez, A. Maloney, B. Oblak, One-loop partition function of three-dimensional flat gravity
Original
2015
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…