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Existence of local degrees of freedom for higher dimensional pure Chern-Simons theories

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http://dx.doi.org/10.1103/PhysRevD.53.R593
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1996-01-15
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Amer Physical Soc
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Abstract
The canonical structure of higher dimensional pure Chern-Simons theories is analyzed. It is shown that these theories have generically a nonvanishing number of local degrees of freedom, even though they are obtained by means of a topological construction. This number of local degrees of freedom is computed as a function of the spacetime dimension and the dimension of the gauge group.
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© 1996 The American Physical Society. We are grateful to Claudio Teitelboim and Jorge Zanelli for useful conversations. M.B. was partially supported by Grants Nos. 1930910-93 and 1940203-94 from FONDECYT (Chile), a Grant from Fundación Andes (Chile), and by institutional support to the Centro de Estudios Científicos de Santiago provided by SAREC (Sweden) and a group of Chilean private companies (COPEC,CMPC,ENERSIS). L.J.G. was supported by the Ministerio de Educación y Ciencia (Spain) and the British Council. This work was supported in part by Research Funds from the European Community and by a Research Grant from F.N.R.S.
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Física-Modelos matemáticos , Física matemática
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[1] R. Jackiw, Phys. Rev. Lett. 41, 1635 (1978). [2] A. H. Chamseddine, Nucl. Phys. B346, 213 (1990); Phys. Lett. B 233, 291 (1989) [3] A. Achúcarro and P. Townsend, Phys. Lett. B 180, 89 (1986); E. Witten, Nucl. Phys. B311, 46 (1998). [4] D. Lovelock, J. Math. Phys. 12, 498 (1971). [5] M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. D 49, 975 (1994). [6] M. Bañados, C. Teitelboim, and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992); M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelli, Phys. Rev. D 48, 1506 (1993). [7] R. Floreanini and R. Percacci, Phys. Lett. B 224, 291 (1989). [8] G. Barnich, M. Henneaux, and C. Schomblond, Phys. Rev. D 44, R939 (1991). [9] See, e.g., M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, New Jersey, 1992). [10] M. Bañados, L. J. Garay, and M. Henneaux, The Dynamical Structure of Higher Dimensional Pure Chern-Simons Theories (unpublished).
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https://hdl.handle.net/20.500.14352/59555
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