Gravitational Duality in MacDowell-Mansouri Gauge Theory
H. Garcia-Compean, O. Obregon, C. Ramirez
TL;DR
This paper explores a gravitational duality analogous to gauge theory dualities, deriving a dual action for the MacDowell-Mansouri gravity model with a theta term, extending duality concepts beyond supersymmetric theories.
Contribution
It introduces a method to find the dual action in a non-supersymmetric gravity gauge theory, expanding duality concepts to gravitational models.
Findings
Derived the dual action for the MacDowell-Mansouri gravity model with a theta term.
Extended duality principles to non-supersymmetric gravitational theories.
Provided insights into strong-weak duality in gravitational gauge theories.
Abstract
Strong-weak duality invariance can only be defined for particular sectors of supersymmetric Yang-Mills theories. Nevertheless, for full non-Abelian non-supersymmetric theories, dual theories with inverted couplings, have been found. We show that an analogous procedure allows to find the dual action to the gauge theory of gravity constructed by the MacDowell-Mansouri model plus the superposition of a term.
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