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Duality, self-duality, sources and charge quantization in abelian N-form theories

Deser, S. and Gomberoff, A. and Henneaux, M. and Teitelboim, C. (1997) Duality, self-duality, sources and charge quantization in abelian N-form theories. Physics Letters B, 400 (1-2). pp. 80-86. ISSN 0370-2693. doi:10.1016/S0370-2693(97)00338-9.

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We investigate duality properties of N-form fields, provide a symmetric way of coupling them to electric/magnetic sources, and check that these charges obey the appropriate quantization requirements. First, we contrast the D = 4k case, in which duality is a well-defined SO(2) rotation generated by a Chern-Simons form leaving the action invariant, and D = 4k + 2 where the corresponding ostensibly SO(1, 1) rotation is not only not an invariance but does not even have a generator. When charged sources are included we show explicitly in the Maxwell case how the usual Dirac quantization arises in a fully symmetric approach attaching strings to both types of changes. Finally, for D = 4k + 2 systems, we show how charges can be introduced for self-dual (2k)-forms, and obtain the D = 4k models with sources by dimensional reduction, tracing their duality invariance to a partial invariance in the higher dimensions.

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Deser, S.0000-0001-9285-9434
Additional Information:© 1997 Elsevier Science B.V. Received 25 February 1997, Revised 7 March 1997, Available online 28 October 1998. Editor: H. Georgi. Discussions with Maximo Banados, Frank Wilczek and Jorge Zanelli are gratefully acknowledged. The work of SD was supported by the National Science Foundation, grant #PHY-9315811, that of MH was partly supported by a research grant from FNRS (Belgium), that of A.G. and C.T. by Grants 3960008 and 1970151 of FONDECYT (Chile). A.G. and C.T. also acknowledge institutional support to the Centro de Estudios Cientificos de Santiago provided by SAREC (Sweden) and a group of Chilean private companies (EMPRESAS CMPC, CGE, CODELCO, COPEC, MINERA LA ESCONDIDA, NOVAGAS BUSINESS DESIGN ASSOCIATES, XEROX CHILE).
Funding AgencyGrant Number
Fonds de la Recherche Scientifique (FNRS)UNSPECIFIED
Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT)3960008
Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT)1970151
Swedish Agency for Research Cooperation (SAREC)UNSPECIFIED
Compañia General de ElectricidadUNSPECIFIED
Corporacion Del Cobre-Chile (CODELCO)UNSPECIFIED
Compañia de Petroleos de Chile (COPEC)UNSPECIFIED
Minera EscondidaUNSPECIFIED
Novagas Business Design AssociatesUNSPECIFIED
Issue or Number:1-2
Record Number:CaltechAUTHORS:20170912-092542068
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Official Citation:S. Deser, A. Gomberoff, M. Henneaux, C. Teitelboim, Duality, self-duality, sources and charge quantization in abelian -form theories, Physics Letters B, Volume 400, Issue 1, 1997, Pages 80-86, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81344
Deposited By: Ruth Sustaita
Deposited On:12 Sep 2017 18:31
Last Modified:15 Nov 2021 19:42

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