Supersymmetric E8(+8)/SO(16) sigma-model coupled to N=1 supergravity in three dimensions (original) (raw)

A 1-parameter family of SO(3)-gauged maximal d = 8 supergravities

arXiv (Cornell University), 2016

We study the gauging of maximal d = 8 supergravity using the embedding tensor formalism. We focus on SO(3) gaugings, study all the possible choices of gauge fields and construct explicitly the bosonic actions (including the complicated Chern-Simons terms) for all these choices, which are parametrized by a parameter associated to the 8-dimensional SL(2, R) duality group that relates all the possible choices which are, ultimately, equivalent from the purely 8-dimensional point of view. Our result proves that the theory constructed by Salam and Sezgin by Scherk-Schwarz compactification of d = 11 supergravity and the theory constructed in Ref. [6] by dimensional reduction of the so called "massive 11-dimensional supergravity" proposed by Meessen and Ortín in Ref. [7] are indeed related by an SL(2, R) duality even though they have two completely different 11-dimensional origins.

Higher spin N = 8 supergravity

Journal of High Energy Physics, 1998

The product of two N = 8 supersingletons yields an infinite tower of massless states of higher spin in four dimensional anti de Sitter space. All the states with spin s ≥ 1 correspond to generators of Vasiliev's super higher spin algebra shs E (8|4) which contains the D = 4, N = 8 anti de Sitter superalgebra OSp(8|4). Gauging the higher spin algebra and introducing a matter multiplet in a quasi-adjoint representation leads to a consistent and fully nonlinear equations of motion as shown sometime ago by Vasiliev. We show the embedding of the N = 8 AdS supergravity equations of motion in the full system at the linearized level and discuss the implications for the embedding of the interacting theory. We furthermore speculate that the boundary N = 8 singleton field theory yields the dynamics of the N = 8 AdS supergravity in the bulk, including all higher spin massless fields, in an unbroken phase of M-theory.

Topological gauging of N=16 supergravity in three dimensions

Physical Review D, 2003

We present a topologically non-trivial generalization of gauged N = 16 supergravity on the coset E 8(+8) /SO(16) in three-dimensions. This formulation is based on a combination of BF-term and a Chern-Simons term for an SO(16) gauge field A µ IJ. The fact that an additional vector field B µ IJ is physical and propagating with couplings to σ-model fields makes our new gauging non-trivial and different from the conventional one. Even though the field strength of the A µ IJ-field vanishes on-shell, the action is topologically non-trivial due to non-vanishing π 3-homotopy. We also present an additional modifications by an extra Chern-Simons term. As by-products, we give also an application to N = 9 supergravity coupled to a σ-model on the coset F 4(−20) /SO(9), and a new BF-Chern-Simons theory coupled to ∀ N extended supergravity.

E_8 in N = 8 supergravity in four dimensions

We argue that N = 8 supergravity in four dimensions exhibits an exceptional E 8(8) symmetry, enhanced from the known E 7(7) invariance. Our procedure to demonstrate this involves dimensional reduction of the N = 8 theory to d = 3, a field redefinition to render the E 8(8) invariance manifest, followed by dimensional oxidation back to d = 4.

On the underlying gauge group structure of supergravity

Physics Letters B, 2004

The underlying gauge group structure of D = 11 supergravity is revisited. It may be described by a one-parametric family of Lie supergroupsΣ(s)× ⊃ SO(1, 10), s = 0. The family of superalgebrasẼ(s) associated toΣ(s) is given by a family of extensions of the M-algebra {P a , Q α , Z ab , Z a 1 ...a 5 } by an additional fermionic central charge Q ′ α . The Chevalley-Eilenberg four-cocycle ω 4 ∼ Π α ∧ Π β ∧ Π a ∧ Π b Γ abαβ on the standard D = 11 supersymmetry algebra may be trivialized onẼ(s), and this implies that the three-form field A 3 of D = 11 supergravity may be expressed as a composite of theΣ(s) one-form gauge fields e a , ψ α , B ab , B a 1 ...a 5 and η α . Two superalgebras ofẼ(s) recover the two earlier D'Auria and Fré decompositions of A 3 . Another member ofẼ(s) allows for a simpler composite structure for A 3 that does not involve the B a 1 ...a 5 field.Σ(s) is a deformation ofΣ(0), which is singularized by having an enhanced Sp(32) (rather than just SO(1, 10)) automorphism symmetry and by being an expansion of OSp(1|32).

E8 in N = 8 mathcalN=8\mathcal{N}=8mathcalN=8 supergravity in four dimensions

Journal of High Energy Physics

New gauge supergravity in seven and eleven dimensions

Physical Review D, 1998

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti-de Sitter gravity are discussed. The construction is illustrated for D = 7 and 11. In seven dimensions the theory is an N = 2 supergravity whose fields are the vielbein (e a µ ), the spin connection (ω ab µ ), two gravitini (ψ i µ ) and an sp(2) gauge connection (a i µj ). These fields form a connection for osp(2|8). In eleven dimensions the theory is an N = 1 supergravity containing, apart from e a µ and ω ab µ , one gravitino ψµ, and a totally antisymmetric fifth rank Lorentz tensor oneform, b abcde µ . These fields form a connection for osp(32|1). The actions are by construction invariant under local supersymmetry and the algebra closes off shell without requiring auxiliary fields. The N = 2 [D/2] -theory can be shown to have nonnegative energy around an AdS background, which is a classical solution that saturates the Bogomolnyi bound obtained from the superalgebra.

N = 8 supersingleton quantum field theory

Nuclear Physics B, 1988

We quantize the N = 8 supersymmetric singleton field theory which is formulated on the boundary of the four-dimensional anti-de Sitter spacetime (ADS4). The theory has rigid OSp(8, 4) symmetry which acts as a superconformal group on the boundary of AdS 4. We show that the generators of this symmetry satisfy the full quantum OSp(8, 4) algebra. The spectrum of the theory contains massless states of all higher integer and half-integer spin which fill the irreducible representations of OSp(8, 4) with highest spin sm~ ~ = 2,4,6,.... Remarkably, these are in one-toone correspondence with the generators of Vasiliev's infinite-dimensional extended higher spin superalgebra shs(8, 4), suggesting that we may have stumbled onto a field-theoretic realization of this algebra. We also discuss the possibility of a connection between the N = 8 supersingleton theory with the eleven-dimensional supermembrane in an AdS 4 × S v background.

Two-dimensional N = 8 supersymmetric mechanics in superspace

Physics Letters B, 2005

We construct a two-dimensional N = 8 supersymmetric quantum mechanics which inherits the most interesting properties of N = 2, d = 4 supersymmetric Yang-Mills theory. After dimensional reduction to one dimension in terms of field-strength, we show that only complex scalar fields from the N = 2, d = 4 vector multiplet become physical bosons in d = 1. The rest of the bosonic components are reduced to auxiliary fields, thus giving rise to the (2, 8, 6) supermultiplet in d = 1. We construct the most general superfields action for this supermultiplet and demonstrate that it possesses duality symmetry extended to the fermionic sector of theory. We also explicitly present the Dirac brackets for the canonical variables and construct the supercharges and Hamiltonian which form a N = 8 super Poincarè algebra with central charges. Finally, we discuss the duality transformations which relate the (2, 8, 6) supermultiplet with the (4, 8, 4) one.

Supersymmetric E8(+8)/SO(16) sigma-model coupled to N=1 supergravity in three dimensions (original) (raw)

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