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Abstract:

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 Poincaré3 groups. As for BMS3, our results coincide with the characters of induced representations recently studied in the literature. Moreover, we relate the 'coadjoint representations' to the induced representations. © 2016 The Authors.

Registro:

Documento: Artículo
Título:Quantization of BMS3 orbits: A perturbative approach
Autor:Garbarz, A.; Leston, M.
Filiación:Instituto de Física de Buenos Aires, CONICET and Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, Buenos Aires, Argentina
Instituto de Astronomía y Física del Espacio, Pabellón IAFE-CONICET, Ciudad Universitaria, Buenos Aires, C.C. 67 Suc. 28, Argentina
Año:2016
Volumen:906
Página de inicio:133
Página de fin:146
DOI: http://dx.doi.org/10.1016/j.nuclphysb.2016.02.038
Título revista:Nuclear Physics B
Título revista abreviado:Nucl. Phys. B
ISSN:05503213
CODEN:NUPBB
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05503213_v906_n_p133_Garbarz

Referencias:

  • Goodman, R., Wallach, N.R., Projective unitary positive-energy representations of Diff(S1) (1985) J. Funct. Anal., 63, p. 299
  • Garbarz, A., Leston, M., Classification of boundary gravitons in AdS3 gravity (2014) J. High Energy Phys., 1405. , arxiv:1403.3367
  • Barnich, G., Oblak, B., Holographic positive energy theorems in three-dimensional gravity (2014) Class. Quantum Gravity, 31, p. 152001. , arxiv:1403.3835
  • Witten, E., Coadjoint orbits of the Virasoro group (1988) Commun. Math. Phys., 114, p. 1
  • Balog, J., Feher, L., Palla, L., Coadjoint orbits of the Virasoro algebra and the global Liouville equation (1998) Int. J. Mod. Phys. A, 13, p. 315. , arxiv:hep-th/9703045
  • Barnich, G., Oblak, B., Notes on the BMS group in three dimensions: I. Induced representations (2014) J. High Energy Phys., 1406. , arxiv:1403.5803
  • Barnich, G., Oblack, B., Notes on the BMS group in three dimensions: II. Coadjoint representation (2015) J. High Energy Phys., 1503. , arxiv:1502.00010
  • Bañados, M., Teitelboim, C., Zanelli, J., The Black hole in three-dimensional space-time (1992) Phys. Rev. Lett., 69, p. 1849. , arxiv:hep-th/9204099
  • Bañados, M., Henneaux, M., Teitelboim, C., Zanelli, J., Geometry of the (2+1) black hole (1993) Phys. Rev. D, 48, p. 1506. , arxiv:gr-qc/9302012
  • Neeb, K.-H., Salmasian, H., Classification of positive energy representations of the Virasoro group, , arxiv:1402.6572
  • Atiyah, M.F., Bott, R., A Lefschetz fixed-point formula for elliptic differential operators (1966) Bull. Am. Math. Soc., 72 (2), p. 245
  • Raeymaekers, J., Quantization of conical spaces in 3D gravity (2015) J. High Energy Phys., 1503. , arxiv:1412.0278
  • Joos, H., Schrader, R., On the primitive characters of the Poincaré group (1968) Commun. Math. Phys., 7 (1), p. 21
  • Fuchs, G., Renouard, P., Characters of Poincaré group (1970) J. Math. Phys., 11, p. 2617
  • Oblak, B., Characters of the BMS group in three dimensions, , arxiv:1502.03108
  • Barnich, G., Gonzalez, H., Maloney, A., Oblak, B., One-loop partition function of three-dimensional flat gravity (2015) J. High Energy Phys., 1504. , arxiv:1502.06185
  • Wigner, E.P., On unitary representations of the inhomogeneous Lorentz group (1939) Ann. Math., 40, p. 149
  • Farinati, M., Garbarz, A., Giribet, G., Leston, M., in preparation

Citas:

---------- APA ----------
Garbarz, A. & Leston, M. (2016) . Quantization of BMS3 orbits: A perturbative approach. Nuclear Physics B, 906, 133-146.
http://dx.doi.org/10.1016/j.nuclphysb.2016.02.038
---------- CHICAGO ----------
Garbarz, A., Leston, M. "Quantization of BMS3 orbits: A perturbative approach" . Nuclear Physics B 906 (2016) : 133-146.
http://dx.doi.org/10.1016/j.nuclphysb.2016.02.038
---------- MLA ----------
Garbarz, A., Leston, M. "Quantization of BMS3 orbits: A perturbative approach" . Nuclear Physics B, vol. 906, 2016, pp. 133-146.
http://dx.doi.org/10.1016/j.nuclphysb.2016.02.038
---------- VANCOUVER ----------
Garbarz, A., Leston, M. Quantization of BMS3 orbits: A perturbative approach. Nucl. Phys. B. 2016;906:133-146.
http://dx.doi.org/10.1016/j.nuclphysb.2016.02.038