Investigación

Issues of duality in abelian gauge theory and in linearized gravity

J.A. Nieto^a,b*and E.A. León^b

ª Facultad de Ciencias Físico–Matemáticas de la Universidad Autónoma de Sinaloa, 80010, Culiacán Sinaloa, México, e–mail: nieto@uas.uasnet.mx

^b Departamento de Investigación en Física de la Universidad de Sonora, 83000, Hermosillo Sonora, México, e–mail: ealeon@posgrado.cifus.uson.mx

Recibido el 5 de noviembre de 2008
Aceptado el 4 de agosto de 2009

Abstract

We start by describing two of the main proposals for duality in abelian gauge theories, namely F(ield strength)–duality approach and the S–duality formalism. We then discuss how F–duality and S–duality can be applied to the case of linearized gravity. By emphasizing the similarities and differences between these two types of dualities we explore the possibility of combining them in just one duality formalism.

Keywords: S–duality; linearized gravity; abelian gauge theory.

Resumen

Comenzamos describiendo dos propuestas principales de dualidad en teorías abelianas de norma, a saber el enfoque de dualidad–(del campo)F y el formalismo de dualidad–S. De ahí, discutimos como la dualidad–F y la dualidad–S pueden implementarse para el caso de gravedad linealizada. Haciendo énfasis en las similitudes y diferencias entre estos dos tipos de dualidad, exploramos la posibilidad de combinarlos en un sólo formalismo de dualidad.

Descriptores: Dualidad–S; gravedad linealizada; teoría abeliana de norma.

PACS: 04.60.–m, 11.25.Tq, 11.15.–q, 11.30.Ly

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Acknowledgments

J.A. Nieto would like thank to L. Ruiz and J. Silvas for helpful comments. This work was partially supported by grants PIFI3.2 and 3.3.

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