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Twin supergravities

Diederik Roest1 and Henning Samtleben2

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We study the phenomenon that pairs of supergravities can have identical bosonic field content but different fermionic extensions. Such twin theories are classified and shown to originate as truncations of a common theory with more supersymmetry. Moreover, we discuss the possible gaugings and scalar potentials of twin theories. This allows us to pinpoint to which extent these structures are determined by the purely bosonic structure of the underlying Kac–Moody algebras and where supersymmetry comes to play its role. As an example, we analyse the gaugings of the six-dimensional {\cal N}=(0,1) and {\cal N}=(2,1) theories with an identical bosonic sector and explicitly work out their scalar potentials. The discrepancy between the potentials finds a natural explanation within maximal supergravity, in which both theories may be embedded.


PACS

04.65.+e Supergravity

11.30.Pb Supersymmetry

MSC

83E50 Supergravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 15 (7 August 2009)

Received 21 April 2009

Published 6 July 2009



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