Existence of local degrees of freedom for higher dimensional pure Chern-Simons theories
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1996
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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.