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Volumn 41, Issue 12, 2000, Pages 8083-8107

A new superconformal mechanics

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EID: 0034365389     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1323498     Document Type: Article
Times cited : (9)

References (32)
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    • note
    • 0 on H.
  • 17
    • 0000195485 scopus 로고
    • B. O. Koopman, Proc. Natl. Acad. Sci. U.S.A. 17, 315 (1931); J. von Neumann, Ann. Math. 33, 587 (1932).
    • (1932) Ann. Math. , vol.33 , pp. 587
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    • E. Gozzi and M. Regini, Phys. Rev. D 62, 067702 (2000); E. Gozzi and D. Mauro, J. Math. Phys. 41, 1916 (2000).
    • (2000) Phys. Rev. D , vol.62 , pp. 67702
    • Gozzi, E.1    Regini, M.2
  • 19
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    • E. Gozzi and M. Regini, Phys. Rev. D 62, 067702 (2000); E. Gozzi and D. Mauro, J. Math. Phys. 41, 1916 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 1916
    • Gozzi, E.1    Mauro, D.2
  • 20
    • 85015130478 scopus 로고    scopus 로고
    • note
    • The charges which in Table III have been indicated as C and C̄ are those that in Ref. 6 were called K and K̄. We change their names in order not to confuse them with the K operator of the conformal algebra (see Table I).
  • 21
    • 85015123484 scopus 로고    scopus 로고
    • note
    • ab of Eq. (25).
  • 22
    • 85015117311 scopus 로고    scopus 로고
    • note
    • The commutators used in Eq. (41) are those of our path integral for classical mechanics derived in Eq. (37).
  • 23
    • 85015129415 scopus 로고    scopus 로고
    • note
    • (⋯). Obviously all commutators are between quantities calculated at the same time.
  • 24
    • 85015109549 scopus 로고    scopus 로고
    • note
    • The conventions (79) and (80) are slightly different than the ones in Ref. 6. Here we also correct some misprints present in that reference.
  • 25
    • 85015119915 scopus 로고    scopus 로고
    • note
    • 0 in Eqs. (A1) and (A9).
  • 26
    • 85015128983 scopus 로고    scopus 로고
    • note
    • i, which in our case of a one-dimensional system is just one variable.
  • 27
    • 85015112351 scopus 로고    scopus 로고
    • note
    • t functions were via Eqs. (95) and (98).
  • 28
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    • J. Kumar, J. High Energy Phys. 9904, 006 (1999); S. Cacciatori, D. Klemm, and D. Zanor, hep-th/9910065.
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  • 31
    • 85015117270 scopus 로고    scopus 로고
    • note
    • Actually we should take the classical version of (17) and (18) as we are doing classical mechanics.
  • 32
    • 85015110890 scopus 로고    scopus 로고
    • note
    • ab, to stick to the conventions of Eqs. (84) and (87).


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