메뉴 건너뛰기




Volumn 322, Issue 7 SPEC. ISS., 2007, Pages 1556-1586

(2 + 1)D exotic Newton-Hooke symmetry, duality and projective phase

Author keywords

Duality; Exotic Newton Hooke symmetry; Noncommutative plane; Nonlinear realization; Projective phase; Wave equations

Indexed keywords


EID: 34250173467     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2007.03.002     Document Type: Article
Times cited : (105)

References (45)
  • 4
    • 34250210012 scopus 로고    scopus 로고
    • O. Arratia, M.A. Martin, M.A. Olmo, Classical systems and representation of (2+1) Newton-Hooke symmetries, Available from: arXiv:math-ph/9903013.
  • 5
    • 34250172196 scopus 로고    scopus 로고
    • Y.H. Gao, Symmetries, matrices, and de Sitter gravity, Available from: arXiv:hep-th/0107067.
  • 7
    • 70349433964 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0603023
    • Brugues J., Gomis J., and Kamimura K. Phys. Rev. D 73 (2006) 085011. Available from: arXiv:hep-th/0603023
    • (2006) Phys. Rev. D , vol.73 , pp. 085011
    • Brugues, J.1    Gomis, J.2    Kamimura, K.3
  • 8
    • 0000077129 scopus 로고
    • Galilei group and Galilean invariance
    • Loebl E.M. (Ed), Academic Press, New York
    • Lévy-Leblond J.-M. Galilei group and Galilean invariance. In: Loebl E.M. (Ed). Group Theory and Applications II (1972), Academic Press, New York 222
    • (1972) Group Theory and Applications , vol.II , pp. 222
    • Lévy-Leblond, J.-M.1
  • 10
    • 34250205023 scopus 로고    scopus 로고
    • Y. Brihaye, C. Gonera, S. Giller, P. Kosiński, Galilean invariance in 2+1 dimensions. Available from: arXiv:hep-th/9503046.
  • 12
    • 0034689994 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0002233
    • Duval C., and Horvathy P.A. Phys. Lett. B 479 (2000) 284. Available from: arXiv:hep-th/0002233
    • (2000) Phys. Lett. B , vol.479 , pp. 284
    • Duval, C.1    Horvathy, P.A.2
  • 13
    • 11144337185 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0106089
    • J. Phys. A 34 (2001) 10097. Available from: arXiv:hep-th/0106089
    • (2001) J. Phys. A , vol.34 , pp. 10097
  • 14
    • 0034603917 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0003130
    • Jackiw R., and Nair V.P. Phys. Lett. B 480 (2000) 237. Available from: arXiv:hep-th/0003130
    • (2000) Phys. Lett. B , vol.480 , pp. 237
    • Jackiw, R.1    Nair, V.P.2
  • 16
    • 1442306276 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0201228
    • Horvathy P.A., and Plyushchay M.S. JHEP 0206 (2002) 033. Available from: arXiv:hep-th/0201228
    • (2002) JHEP , vol.206 , pp. 033
    • Horvathy, P.A.1    Plyushchay, M.S.2
  • 17
    • 3843100203 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0404137
    • Horvathy P.A., and Plyushchay M.S. Phys. Lett. B 595 (2004) 547. Available from: arXiv:hep-th/0404137
    • (2004) Phys. Lett. B , vol.595 , pp. 547
    • Horvathy, P.A.1    Plyushchay, M.S.2
  • 18
    • 17144432341 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0502040
    • Horvathy P.A., and Plyushchay M.S. Nucl. Phys. B 714 (2005) 269. Available from: arXiv:hep-th/0502040
    • (2005) Nucl. Phys. B , vol.714 , pp. 269
    • Horvathy, P.A.1    Plyushchay, M.S.2
  • 19
    • 33645695556 scopus 로고    scopus 로고
    • Available from: arXiv:math-ph/0512007
    • Negro J., del Olmo M.A., and Tosiek J. J. Math. Phys. 47 (2006) 033508. Available from: arXiv:math-ph/0512007
    • (2006) J. Math. Phys. , vol.47 , pp. 033508
    • Negro, J.1    del Olmo, M.A.2    Tosiek, J.3
  • 20
    • 33750507153 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0508020
    • del Olmo M.A., and Plyushchay M.S. Ann. Phys. 321 (2006) 2830. Available from: arXiv:hep-th/0508020
    • (2006) Ann. Phys. , vol.321 , pp. 2830
    • del Olmo, M.A.1    Plyushchay, M.S.2
  • 21
    • 34250188961 scopus 로고    scopus 로고
    • P.A. Horvathy, Non-commutative mechanics, in mathematical and in condensed matter physics, Available from: arXiv:cond-mat/0609571.
  • 24
    • 3843062892 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/0001216
    • West P.C. JHEP 0002 (2000) 024. Available from: arXiv:hep-th/0001216
    • (2000) JHEP , vol.2 , pp. 024
    • West, P.C.1
  • 26
    • 33644938094 scopus 로고    scopus 로고
    • Available from: arXiv:quant-ph/0508199
    • Gozzi E., and Mauro D. J. Phys. A 39 (2006) 3411. Available from: arXiv:quant-ph/0508199
    • (2006) J. Phys. A , vol.39 , pp. 3411
    • Gozzi, E.1    Mauro, D.2
  • 27
    • 0004225353 scopus 로고
    • For the discussion of auxiliary variables in a generic framework of Lagrangian theory see, for example, Princeton University Press
    • For the discussion of auxiliary variables in a generic framework of Lagrangian theory see, for example,. Henneaux M., and Teitelboim C. Quantization of Gauge Systems (1992), Princeton University Press
    • (1992) Quantization of Gauge Systems
    • Henneaux, M.1    Teitelboim, C.2
  • 31
    • 34250157524 scopus 로고    scopus 로고
    • A.A. Kirillov, Lectures on the Orbit Method, Graduate Studies in Mathematics, 64, AMS, Rhode Island, 2004.
  • 38
    • 0040202958 scopus 로고    scopus 로고
    • Available from: arXiv:hep-th/9605159
    • Nucl. Phys. B 476 (1996) 611. Available from: arXiv:hep-th/9605159
    • (1996) Nucl. Phys. B , vol.476 , pp. 611
  • 39
    • 34250167366 scopus 로고    scopus 로고
    • P. Alvarez, J. Gomis, K. Kamimura, M. Plyushchay, in preparation.
  • 45
    • 34250179610 scopus 로고    scopus 로고
    • note
    • If we add an extra exponential with new central extension in Eq. (3.1), the Maurer-Cartan form gets a new term dy, where y is the corresponding Goldstone field associated to the third central charge. The contribution of this term to the Lagrangian is a total derivative.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.