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The spectrum of the S^5 compactification of the chiral N=2, D=10 supergravity and the unitary supermultiplets of U(2,2/4)
The authors calculate the spectrum of the S5 compactification of the chiral N=2, D=10 supergravity theory. The modes on S5 fall into unitary irreducible representations of the D=5, N=8 anti-de SitterExpand
ORBITS OF EXCEPTIONAL GROUPS, DUALITY AND BPS STATES IN STRING THEORY
We give an invariant classification of orbits of the fundamental representations of the exceptional groups E7(7) and E6(6) which classify BPS states in string and M theories toroidally compactifiedExpand
The gauging of five-dimensional, N=2 Maxwell–Einstein supergravity theories coupled to tensor multiplets☆
Abstract We study the general gaugings of N =2 Maxwell–Einstein supergravity theories (MESGT) in five dimensions, extending and generalizing previous work. The global symmetries of these theories areExpand
Seven-dimensional octonionic Yang-Mills instanton and its extension to an heterotic string soliton
Abstract We construct an octonionic instanton solution to the seven-dimensional Yang-Mills theory based on the exceptional gauge group G2 which is the automorphism group of the division algebra ofExpand
The Minimal Unitary Representation of E_8(8)
We give a new construction of the minimal unitary representation of the exceptional group E8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respectExpand
Vacua of 5D, N=2 gauged Yang-Mills-Einstein-tensor supergravity: Abelian case
We give a detailed study of the critical points of the potentials of the simplest nontrivial $\mathcal{N}=2$ gauged Yang-Mills-Einstein supergravity theories with tensor multiplets. The scalar fieldExpand
Unitary supermultiplets of OSp(8 ∗ |4) and the AdS 7 / CFT 6 duality
Abstract We study the unitary supermultiplets of the N =4 d=7 anti-de Sitter ( AdS7 ) superalgebra OSp(8 ∗ |4) , with the even subalgebra SO(6,2)×USp(4) , which is the symmetry superalgebra ofExpand
GENERALIZED CONFORMAL AND SUPERCONFORMAL GROUP ACTIONS AND JORDAN ALGEBRAS
We study the "conformal groups" of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave two-angleExpand
Generalized spacetimes defined by cubic forms and the minimal unitary realizations of their quasiconformal groups
We study the symmetries of generalized spacetimes and corresponding phase spaces defined by Jordan algebras of degree three. The generic Jordan family of formally real Jordan algebras of degree threeExpand
Minimal Unitary Realizations of Exceptional U-duality Groups and Their Subgroups as Quasiconformal Groups
We study the minimal unitary representations of noncompact exceptional groups that arise as U-duality groups in extended supergravity theories. First we give the unitary realizations of theExpand
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