Supergravity in d=9 and its coupling to the non-compact σmodel (original) (raw)

Supersymmetry of massive D=9 supergravity

Physics Letters B, 2002

By applying generalized dimensional reduction on the type IIB supersymmetry variations, we derive the supersymmetry variations for the massive 9-dimensional supergravity. We use these variations and the ones for massive type IIA to derive the supersymmetry transformation of the gravitino for the proposed massive 11-dimensional supergravity.

d = 8 supergravity: Matter couplings, gauging and Minkowski compactification

Physics Letters B, 1985

We couple d = 8, N = 1 supergravity to n vector multiplets. The 2n scalars of the theory parametrize the K~hler manifold SO(n, 2)/SO(n)×SO(2). The n+2 vector fields are used to gauge the [SO(l, 2)×H] subgroup of SO(n, 2) where H c SO(n-1) and dim H = n-1. It is shown that the theory compactifies to (Minkowski)6 × S 2 by a monopole configuration which is embedded in SO(l, 2). The field equations fix the monopole charge to be + 1, which implies a stable, chiral N = 2 supergravity in d = 6. *1 In this note we formulate these transformations in a way which does not involve the KSJaler potential explicitly. For this see ref. [ 10] which discusses them in d = 4. Our approach is equivalent to that of ref. [ 10].

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

Physics Letters B, 2002

A three-dimensional simple N = 1 supergravity theory with a supersymmetric sigma-model on the coset E 8(+8) /SO(16) is constructed. Both bosons and fermions in the matter multiplets are in the spinorial 128-representation of SO(16) with the same chirality. Due to their common chirality, this model can not be obtained from the maximal N = 16 supergravity. By introducing an independent vector multiplet, we can also gauge an arbitrary subgroup of SO(16) together with a Chern-Simons term. Similar N = 1 supersymmetric σ-models coupled to supergravity are also constructed for the cosets F 4(−20) /SO(9) and SO(8, n)/SO(8) × SO(n).

Geometric coupling of vector multiplets with D=4, N=1 supergravity

In this article we consider the coupling of the vector multiplets to supergravity in four dimensions with one supersymmetric charge. Supergravity theories are the effective theories of superstring theories. We follow the so-called " geometric approach " , i.e. we use the concepts of supersymmetry, superspace, rheonomic principle and consider all fields as superforms in superspace.

D = 4, N = 2 Gauged Supergravity

2003

Using superspace techniques we construct the general theory describing D = 4, N = 2 supergravity coupled to an arbitrary number of vector and scalar–tensor multiplets. The scalar manifold of the theory is the direct product of a special Kähler and a reduction of a Quaternionic–Kähler manifold. We perform the electric gauging of a subgroup of the isometries of such manifold as well as " magnetic " deformations of the theory discussing the consistency conditions arising in this process. The resulting scalar potential is the sum of a symplectic invariant part (which in some instances can be recast into the standard form of the gauged N = 2 theory) and of a non–invariant part, both giving new deformations. We also show the relation of such theories to flux compactifications of type II string theories.

New couplings of six-dimensional supergravity

Nuclear Physics B, 1997

We describe the couplings of six-dimensional supergravity, which contain a self-dual tensor multiplet, to n T anti-self-dual tensor matter multiplets, n V vector multiplets and n H hypermultiplets. The scalar fields of the tensor multiplets form a coset SO(n T , 1)/SO(n T ), while the scalars in the hypermultiplets form quaternionic Kähler symmetric spaces, the generic example being Sp(n H , 1)/Sp(n H ) ⊗ Sp(1). The gauging of the compact subgroup Sp(n H ) × Sp(1) is also described. These results generalize previous ones in the literature on matter couplings of N = 1 supergravity in six dimensions.

D=4, gauged supergravity in the presence of tensor multiplets

Nuclear Physics B, 2004

Using superspace techniques we construct the general theory describing D = 4, N = 2 supergravity coupled to an arbitrary number of vector and scalar-tensor multiplets. The scalar manifold of the theory is the direct product of a special Kähler and a reduction of a Quaternionic-Kähler manifold. We perform the electric gauging of a subgroup of the isometries of such manifold as well as "magnetic" deformations of the theory discussing the consistency conditions arising in this process. The resulting scalar potential is the sum of a symplectic invariant part (which in some instances can be recast into the standard form of the gauged N = 2 theory) and of a non-invariant part, both giving new deformations. We also show the relation of such theories to flux compactifications of type II string theories.

On the formulation of D=11 supergravity and the composite nature of its three-form gauge field

Annals of Physics, 2005

The underlying gauge group structure of the D = 11 Cremmer-Julia-Scherk supergravity becomes manifest when its three-form field A 3 is expressed through a set of one-form gauge fields, B a1a2 1 , B a1...a5 1 , η 1α and E a , ψ α . These are associated with the generators of the elements of a family of enlarged supersymmetry algebrasẼ (528|32+32) (s) parametrized by a real number s. We study in detail the composite structure of A 3 extending previous results by D'Auria and Fré, stress the equivalence of the above problem to the trivialization of a standard supersymmetry algebra E (11|32) cohomology four-cocycle on the enlargedẼ (528|32+32) (s) superalgebras, and discuss its possible dynamical consequences. To this aim we consider the properties of the first order supergravity action with a composite A 3 field and find the set of extra gauge symmetries that guarantee that the field theoretical degrees of freedom of the theory remain the same as with a fundamental A 3 . The extra gauge symmetries are also present in the so-called rheonomic treatment of the first order D = 11 supergravity action when A 3 is composite. Our considerations on the composite structure of A 3 provide one more application of the idea that there exists an extended superspace coordinates/fields correspondence. They also suggest that there is a possible embedding of D = 11 supergravity into a theory defined on the enlarged superspaceΣ (528|32+32) (s). We shall denote by E (Ẽ) the supersymmetry (enlarged supersymmetry) algebras associated with the corresponding rigid superspace supergroups, denoted Σ (Σ). The symbols Σ,Σ will also be used to denote the corresponding non-flat superspaces (in which case there is no group structure) without risk of confusion. The expansion method [12, 13] is a new method of generating new Lie algebras starting from a given algebra. It includes [13] theİnönü-Wigner and generalized contractions as a particular case, but in general leads to algebras of larger dimension than the original one.