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Existence of local degrees of freedom for higher dimensional pure Chern-Simons theories Banados, M. Garay Elizondo, Luis Javier Henneaux, M. 51-73 Black-hole Supergravity Gravity Física-Modelos matemáticos Física matemática © 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. 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. FONDECYT (Chile) Fundación Andes (Chile) Ministerio de Educación y Ciencia (Spain) Funds from the European Community F.N.R.S. British Council Depto. de Física Teórica Fac. de Ciencias Físicas TRUE pub 2023-06-20T20:06:12Z 2023-06-20T20:06:12Z 1996-01-15 journal article https://hdl.handle.net/20.500.14352/59555 0556-2821 10.1103/PhysRevD.53.R593 eng 1930910-93 1940203-94 open access application/pdf Amer Physical Soc