Unified N=2 Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Four Dimensions

Abstract

We study unified N=2 Maxwell-Einstein supergravity theories (MESGTs) and unified Yang-Mills Einstein supergravity theories (YMESGTs) in four dimensions. As their defining property, these theories admit the action of a global or local symmetry group that is (i) simple, and (ii) acts irreducibly on all the vector fields of the theory, including the ``graviphoton''. Restricting ourselves to the theories that originate from five dimensions via dimensional reduction, we find that the generic Jordan family of MESGTs with the scalar manifolds [SU(1,1)/U(1)] X [SO(2,n)/SO(2)X SO(n)] are all unified in four dimensions with the unifying global symmetry group SO(2,n). Of these theories only one can be gauged so as to obtain a unified YMESGT with the gauge group SO(2,1). Three of the four magical supergravity theories defined by simple Euclidean Jordan algebras of degree 3 are unified MESGTs in four dimensions. Two of these can furthermore be gauged so as to obtain 4D unified YMESGTs with gauge groups SO(3,2) and SO(6,2), respectively. The generic non-Jordan family and the theories whose scalar manifolds are homogeneous but not symmetric do not lead to unified MESGTs in four dimensions. The three infinite families of unified five-dimensional MESGTs defined by simple Lorentzian Jordan algebras, whose scalar manifolds are non-homogeneous, do not lead directly to unified MESGTs in four dimensions under dimensional reduction. However, since their manifolds are non-homogeneous we are not able to completely rule out the existence of symplectic sections in which these theories become unified in four dimensions.

47 pages; latex file

References in corpus (2)

• Effective Supergravity Actions for Conifold Transitions
• On Orbifold Compactification of N=2 Supergravity in Five Dimensions

Cited by in corpus (31)

• Off-shell N=2 tensor supermultiplets
• Hidden Role of Maxwell Superalgebras in the Free Differential Algebras of D=4 and D=11 Supergravity
• 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
• On the Magical Supergravities in Six Dimensions
• 5D Black Holes and Non-linear Sigma Models
• Entropy function for rotating extremal black holes in very special geometry
• Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
• D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets
• Cosmological solutions in five dimensional Einstein-Maxwell-dilaton theory
• Cosmological Solutions on Atiyah-Hitchin Space in Five Dimensional Einstein-Maxwell-Chern-Simons Theory
• Exact convoluted solutions in higher-dimensional Einstein-Maxwell theory
• Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions
• Jordan Pairs, E6 and U-Duality in Five Dimensions
• Generalized conformal realizations of Kac-Moody algebras
• Cosmological Solutions in Five Dimensional Minimal Supergravity
• Black holes and general Freudenthal transformations
• A Kind of Magic
• Exceptional Super Yang-Mills in $D=27+3$ and Worldvolume M-Theory
• SAM Lectures on Extremal Black Holes in d=4 Extended Supergravity
• Orbits in Non-Supersymmetric Magic Theories
• Bianchi IX geometry and the Einstein-Maxwell theory
• A New Class of Exact Solutions in Einstein-Maxwell-dilaton Theory
• Real weights, bound states and duality orbits
• Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality
• Five-dimensional Yang-Mills-Einstein supergravity on orbifolds: Parity assignments
• Options for Orbifold-GUT Model Building from Five-Dimensional Supergravity
• On the coupling of tensors to gauge fields: D=5, N=2 supergravity revisited
• Five-dimensional vector-coupled supergravity on a manifold with boundary
• Jordan Algebraic Interpretation of Maximal Parabolic Subalgebras : Exceptional Lie Algebras
• The Axion from Five-Dimensional Supergravity