Twin Supergravities

Abstract

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 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 plays its role. As an example, we analyze the gaugings of the six-dimensional N=(0,1) and N=(2,1) theories with 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.

27 pages. v2: ref added, published version

References in corpus (29)

• E_11 and M Theory
• E10 and a "small tension expansion" of M Theory
• On Lorentz Invariant Actions for Chiral P-Forms
• Maximal gauged supergravity in three dimensions
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• The E_{11} origin of all maximal supergravities
• The maximal D=5 supergravities
• Locally supersymmetric D=3 non-linear sigma models
• E(11) and the Embedding Tensor
• Gauged locally supersymmetric D=3 nonlinear sigma models
• New Couplings of Six-Dimensional Supergravity
• The maximal D=7 supergravities
• Orbits and Attractors for N=2 Maxwell-Einstein Supergravity Theories in Five Dimensions
• Magic Supergravities, N= 8 and Black Hole Composites
• E(11)-extended spacetime and gauged supergravities
• Gauge Theories, Duality Relations and the Tensor Hierarchy
• Kac-Moody Spectrum of (Half-)Maximal Supergravities
• All Couplings of Minimal Six-dimensional Supergravity
• The Gaugings of Maximal D=6 Supergravity
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
• Exceptional N=6 and N=2 AdS_4 Supergravity, and Zero-Center Modules
• A Note on E11 and Three-dimensional Gauged Supergravity
• N=(4,2) Chiral Supergravity in Six Dimensions and Solvable Lie Algebras
• Duality Symmetries and G^{+++} Theories
• E10 and Gauged Maximal Supergravity
• Extended Symmetries in Supergravity: the Semi-simple Case
• Non-propagating degrees of freedom in supergravity and very extended G_2
• Supersymmetric E_{8(+8)} / SO(16) Sigma-Model Coupled to N=1 Supergravity in Three-Dimensions

Cited by in corpus (22)

• Gauged Supergravities
• Twin Supergravities from Yang-Mills Squared
• On the Black-Hole/Qubit Correspondence
• Degeneration of Groups of Type E7 and Minimal Coupling in Supergravity
• Electric-magnetic deformations of D=4 gauged supergravities
• On the Magical Supergravities in Six Dimensions
• Charge Orbits of Extremal Black Holes in Five Dimensional Supergravity
• Generalized mirror symmetry and trace anomalies
• Two-Centered Magical Charge Orbits
• Freudenthal Gauge Theory
• Dualities Near the Horizon
• Exceptional Reductions
• Maximally Supersymmetric AdS Solutions and their Moduli Spaces
• Supersymmetric solutions from N=5 gauged supergravity
• Twin conformal field theories
• Jordan Pairs, E6 and U-Duality in Five Dimensions
• Supersymmetric solutions from N=6 gauged supergravity
• Small Black Hole Constituents and Horizontal Symmetry
• Minimal Massive Supergravity
• Multi-Centered Invariants, Plethysm and Grassmannians
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Flux Backgrounds and Exceptional Generalised Geometry