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.

Euclidean N=2 supergravity

Physics Letters B, 2012

Euclidean special geometry has recently been investigated in the context of Euclidean supersymmetric theories with vector multiplets. In the rigid case, the scalar manifold is described by affine special para-Kähler geometry while the target geometries of Euclidean vector multiplets coupled to supergravity are given by projective special para-Kähler manifolds. In this letter, we derive the Killing spinor equations of Euclidean N = 2 supergravity theories coupled to vector multiplets. These equations provide the starting point for finding general supersymmetric instanton solutions.

(Non)Abelian gauged supergravities in nine dimensions

Classical and Quantum Gravity, 2003

We construct five massive deformations of the unique nine-dimensional N = 2 supergravity, each with two parameters. All of these deformations have a higher-dimensional origin via Scherk-Schwarz reduction and correspond to gauged supergravities. The gauge groups we encounter are SO(2), SO(1, 1) + , R, R + and the unique two-dimensional non-Abelian Lie group CR 1 , which consists of scalings and translations in one dimension.

D = 4, N = 1 supergravity in superspace: general overview and technical analysis

2018

Considering the supersymmetry, the Einstein theory of general relativity brings to supergravity and the superspace gives a geometrical meaning to the supersymmetry transformations. I consider in this work the technical complete construction of D = 4, N = 1 supergravity in a geometrical way, i.e. using superforms in superspace as extension of spinortensor calculus. Starting by the pure D = 4, N = 1 supergravity, the coupling with scalar multiplets (multiplets of Wess-Zumino) and vector multiplets is performed. I use the concepts of supersymmetry, superspace and rheonomic principle. Bianchi identities are analyzed and resolved, ending with the Bianchi identity of gravitino. Supergravity theories are the effective theories of superstring theories.

A note on the uniqueness of D = 4, N = 1 supergravity

Classical and Quantum Gravity, 2002

We investigate in 4 spacetime dimensions, all the consistent deformations of the lagrangian L 2 + L 3 2 , which is the sum of the Pauli-Fierz lagrangian L 2 for a free massless spin 2 field and the Rarita-Schwinger lagrangian L 3 2 for a free massless spin 3/2 field.

A truly crazy idea about type-IIB supergravity and heterotic sigma-models

Phys Lett B, 1995

Within the confines of the standard NSR sigma-model approach, we construct an explicit and manifestly (1,0) heterotic sigma-model where the bosonic background fields are those of 10D, N = IIB supergravity. The novelty that permits this construction is to use the righton sector of the (1,0) NSR sigma-model to describe the currents of the positive chiral part of the SO(1,9) spin-bundle tensored with itself.

Geometric coupling of scalar multiplets to D=4, N=1 pure supergravity

2015

In this paper we consider the coupling of the scalar multiplets (multiplets of Wess-Zumino) to D=4, N=1 pure supergravity. We use the "geometric approach", that is all fields are considered as superforms in superspace and we use the concepts of supersymmetry, superspace and rheonomic principle. The Bianchi identities are analyzed and resolved, ending with the Bianchi identity of gravitino. i i i i i i  * * i T i i i i i

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.

Noncompact gaugings, chiral reduction and dual sigma models in supergravity

Classical and Quantum Gravity, 2006

We show that the half-maximal SU (2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives N = (1, 0) supergravity in 6D coupled to 3p scalars that parametrize the coset SO(p, 3)/SO(p) × SO(3), a dilaton and (p + 3) axions with p ≤ n. Demanding that R-symmetry gauging survives in 6D is shown to put severe restrictions on the 7D model, in particular requiring noncompact gaugings. We find that the SO(2, 2) and SO(3, 1) gauged 7D supergravities give a U (1) R , and the SO(2, 1) gauged 7D supergravity gives an Sp(1) R gauged chiral 6D supergravities coupled to certain matter multiplets. In the 6D models obtained, with or without gauging, we show that the scalar fields of the matter sector parametrize the coset SO(p + 1, 4)/SO(p + 1) × SO(4), with the (p + 3) axions corresponding to its abelian isometries. In the ungauged 6D models, upon dualizing the axions to 4-form potentials, we obtain coupling of p linear multiplets and one special linear multiplet to chiral 6D supergravity.

Dual vector multiplet coupled to dual N=1 supergravity in 10D

Physical Review D, 2005

We couple in superspace a 'dual' vector multiplet (C m 1 •••m 7 , λ α) to the dual version of N = 1 supergravity (e m a , ψ m α , M m 1 •••m 6 , χ α , Φ) in ten-dimensions. Our new 7-form field C has its 8-form field strength H dual to the 2-form field strength F of the conventional vector multiplet. We have found that the H-Bianchi identity must have the form N ∧ F , where N is the 7-form field strength in dual supergravity. We also see why only the dual version of supergravity couples to the dual vector multiplet consistently. The potential anomaly for the dual vector multiplet can be cancelled for the particular gauge group U (1) 496 by the Green-Schwarz mechanism. As a by-product, we also give the globally supersymmetric Abelian Dirac-Born-Infeld interactions for the dual vector multiplet for the first time.