Abstract
We study the soldering formalism in the context of Abelian p-form theories. We develop further the fusion process of massless antisymmetric tensors of different ranks into a massive p-form and establish its duality properties. To illustrate the formalism we consider two situations. First the soldering mass generation mechanism is compared with the Higgs and Julia–Toulouse mechanisms for mass generation due to condensation of electric and magnetic topological defects. We show that the soldering mechanism interpolates between them for even-dimensional spacetimes, in this way confirming the Higgs/Julia–Toulouse duality proposed by Quevedo and Trugenberger [Nucl. Phys. B 501 (1997) 143] a few years ago. Next, soldering is applied to the study of duality group classification of the massive forms. We show a dichotomy controlled by the parity of the operator defining the symplectic structure of the theory and find their explicit actions.
Highlights
We study the soldering formalism in the context of abelian p-form theories
We bring about a study that extends both the notion of duality symmetry to massive totally antisymmetric tensors of arbitrary ranks and the notion of self-duality
The ubiquitous role of the duality operation in the investigation of concrete physical systems is well recognized [5]. This is a symmetry transformation that is fundamental for investigations in arenas as distinct as quantum field theory, statistical mechanics and string theory
Summary
We study the soldering formalism in the context of abelian p-form theories. We develop further the fusion process of massless antisymmetric tensors of different ranks into a massive p-form and establish its duality properties. Duality operation and self-dual actions were thoroughly studied in the context of massless four dimensional electromagnetic theory and its even dimensional p-form extensions [2, 3].
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