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Published June 1, 1998 | Submitted
Journal Article Open

p-Brane dyons and electric-magnetic duality

Abstract

We discuss dyons, charge quantization and electric-magnetic duality for self-interacting, abelian, p-form theories in the space-time dimensions D = 2(p + 1) where dyons can be present. The corresponding quantization conditions and duality properties are strikingly different depending on whether p is odd or even. If p is odd one has the familiar eḡ − gē = 2φ, whereas for even p one finds the opposite relative sign, eḡ + gē = 2π. These conditions are obtained by introducing Dirac strings and taking due account of the multiple connectedness of the configuration space of the strings and the dyons. A two-potential formulation of the theory that treats the electric and magnetic sources on the same footing is also given. Our results hold for arbitrary gauge invariant self-interaction of the fields and are valid irrespective of their duality properties.

Additional Information

© 1998 Elsevier. Received 19 December 1997, Accepted 16 February 1998, Available online 13 August 1998. Discussions with Frank Wilczek are gratefully acknowledged. The work of SD was supported by the National Science Foundation, grant #PHY-9315811, that of MH was partly supported by research funds from IISN (Belgium), that of AG and CT by Grants 3960008 and 1970151 of FONDECYT (Chile). AG and CT also acknowledge institutional support to the Centro de Estudios Científicos de Santiago provided by SAREC (Sweden) and a group of Chilean private companies (BUSINESS DESIGN ASSOCIATES, CGE, CMPC, CODELCO, COPEC, CHILGENER, MINERA COLLAHUASI, MINERA LA ESCONDIDA, NOVAGAS, XEROX CHILE). Finally, AG would like to gratefully acknowledge the hospitality of the Institute for Advanced Study while this work was being completed. The clerical assistance of Santenber Belices is acknowledged.

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