On the Magical Supergravities in Six Dimensions

Abstract

Magical supergravities are a very special class of supergravity theories whose symmetries and matter content in various dimensions correspond to symmetries and underlying algebraic structures of the remarkable geometries of the Magic Square of Freudenthal, Rozenfeld and Tits. These symmetry groups include the exceptional groups and some of their special subgroups. In this paper, we study the general gaugings of these theories in six dimensions which lead to new couplings between vector and tensor fields. We show that in the absence of hypermultiplet couplings the gauge group is uniquely determined by a maximal set of commuting translations within the isometry group SO(n_T,1) of the tensor multiplet sector. Moreover, we find that in general the gauge algebra allows for central charges that may have nontrivial action on the hypermultiplet scalars. We determine the new minimal couplings, Yukawa couplings and the scalar potential.

42 pages, Latex file; References added, typos corrected, minor clarifications in the introduction and conclusion sections added. Version to be published in Nuclear Physics B

References in corpus (39)

• A Note on the Green - Schwarz Mechanism in Open - String Theories
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• On Lagrangians and Gaugings of Maximal Supergravities
• Second-Quantized Mirror Symmetry
• Symmetry structure of special geometries
• Special geometry, cubic polynomials and homogeneous quaternionic spaces
• The maximal D=4 supergravities
• Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
• Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds
• Gauged Supergravities, Tensor Hierarchies, and M-Theory
• The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets
• The maximal D=5 supergravities
• Broken sigma-model isometries in very special geometry
• Locally supersymmetric D=3 non-linear sigma models
• Gauged locally supersymmetric D=3 nonlinear sigma models
• Gauging of Flat Groups in Four Dimensional Supergravity
• New Couplings of Six-Dimensional Supergravity
• Dual Pairs of Type II String Compactification
• Tensor and Vector Multiplets in Six-Dimensional Supergravity
• The group theory of oxidation
• All Couplings of Minimal Six-dimensional Supergravity
• The group theory of oxidation II: Cosets of non-split groups
• The Gaugings of Maximal D=6 Supergravity
• Pseudo-Riemannian metrics with parallel spinor fields and vanishing Ricci tensor
• Unified N=2 Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Four Dimensions
• Twin Supergravities
• No-scale D=5 supergravity from Scherk-Schwarz reduction of D=6 theories
• The R-map and the Coupling of N=2 Tensor Multiplets in 5 and 4 Dimensions
• Unified Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Five Dimensions
• Enriques and Octonionic Magic Supergravity Models
• Electric/magnetic duality for chiral gauge theories with anomaly cancellation
• Abelian Vectors and Self-Dual Tensors in Six-Dimensional Supergravity
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories
• Magic N=2 supergravities from hyper-free superstrings
• Lectures on Spectrum Generating Symmetries and U-duality in Supergravity, Extremal Black Holes, Quantum Attractors and Harmonic Superspace
• Aspects of Type I - Type II - Heterotic Triality in Four Dimensions
• Special geometries, from real to quaternionic
• Properties of Gauged Sigma Models
• CY Manifolds with Locally Symmetric Moduli Spaces

Cited by in corpus (20)

• (1,0) superconformal models in six dimensions
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• A magic pyramid of supergravities
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Super Yang-Mills, division algebras and triality
• Global symmetries of Yang-Mills squared in various dimensions
• Floating JMaRT
• Exceptional Calabi--Yau spaces: the geometry of $\mathcal{N}=2$ backgrounds with flux
• Super-Ehlers in Any Dimension
• Unified non-metric (1,0) tensor-Einstein supergravity theories and (4,0) supergravity in six dimensions
• Real forms of embeddings of maximal reductive subalgebras of the complex simple Lie algebras of rank up to 8
• A Kind of Magic
• Extended geometry of magical supergravities
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Gaugings of N=4 three dimensional gauged supergravity with exceptional coset manifolds
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Y-algebroids and $E_{7(7)}\times {\mathbb{R}}^{+}$-generalised geometry
• Non-semisimple gauging of a magical N=4 supergravity in three dimensions
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• Six-Dimensional Jordan Supergravity Models