Unified N=2 Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Four Dimensions
arXiv:hep-th/0507227 · doi:10.1088/1126-6708/2005/09/026
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 (29)
- Gauge Unification in Higher Dimensions
- N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
- Triplet-doublet Splitting, Proton Stability and Extra Dimension
- SU(5) Grand Unification in Extra Dimensions and Proton Decay
- A Minimal S^1/(Z_2 x Z_2') Orbifold GUT
- Gauge Symmetry Reduction from the Extra Space
- Symmetry structure of special geometries
- Special geometry, cubic polynomials and homogeneous quaternionic spaces
- Split Multiplets, Coupling Unification and Extra Dimension
- SO(10) grand unification in five dimensions: Proton decay and the mu problem
- The Gauging of Five-dimensional, N=2 Maxwell-Einstein Supergravity Theories coupled to Tensor Multiplets
- Proton stability in TeV-scale GUTs
- N=2 Heterotic Superstring and its Dual Theory in Five Dimensions
- Broken sigma-model isometries in very special geometry
- Superconformal N=2, D=5 matter with and without actions
- Stable de Sitter Vacua from N=2 Supergravity
- More on the Similarity between D=5 Simple Supergravity and M Theory
- Generalized Conformal and Superconformal Group Actions and Jordan Algebras
- On the Stability of the Classical Vacua in a Minimal SU(5) 5-D Supergravity Model
- General Matter Coupled N=4 Gauged Supergravity in Five Dimensions
- New Gauged N=8, D=4 Supergravities
- Effective Supergravity Actions for Flop Transitions
- The Curve of Compactified 6D Gauge Theories and Integrable Systems
- Unified Maxwell-Einstein and Yang-Mills-Einstein Supergravity Theories in Five Dimensions
- Gauged Supergravity and Singular Calabi-Yau Manifolds
- Effective Actions near Singularities
- Options for Gauge Groups in Five-Dimensional Supergravity
- 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 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