The supersymmetric tensor hierarchy ofN= 1,d= 4 supergravity (original) (raw)
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The tensor hierarchies of pure N = 2, d = 4, 5, 6 supergravities
Journal of High Energy Physics, 2010
We study the supersymmetric tensor hierarchy of pure (gauged) N = 2, d = 4, 5, 6 supergravity and compare them with those of the pure, ungauged, theories (worked out in Ref. [1] for d = 5) and the predictions of the Kač-Moody approach made in Ref. [2]. We find complete agreement in the ungauged case but we also find that, after gauging, new Stückelberg symmetries reduce the number of independent physical top-forms. The analysis has to be performed to all orders in fermion fields. We discuss the construction of the worldvolume effective actions for the p-branes which are charged with respect to the (p + 1)-form potentials and the relations between the tensor hierarchies and p-branes upon dimensional reduction.
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.
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.
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.
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).
All the supersymmetric configurations of N=4,d=4 supergravity
2005
All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be classical solutions of the theory. While the solutions associated to null Killing vectors were essentially classified by Tod (a classification that we refine), we find new configurations and solutions associated to timelike Killing vectors that do not satisfy Tod's rigidity hypothesis (hence, they have a non-trivial U(1) connection) and whose supersymmetry projector is associated to 1-dimensional objects (strings), although they have a trivial axion field.
2007
We thoroughly analyze at the bosonic level, in the framework of Free Differential Algebras (FDA), the role of 2-form potentials setting in particular evidence the precise geometric formulation of the anti-Higgs mechanism giving mass to the tensors. We then construct the (super)-FDA encoding the coupling of vector-tensor multiplets in D=4, N=2 supergravity, by solving the Bianchi identities in superspace and thus retrieving the full theory up to 3-fermions terms in the supersymmetry transformation laws, leaving the explicit construction of the Lagrangian to future work. We further explore the extension of the bosonic FDA in the presence of higher p-form potentials, focussing our attention to the particular case p=3, which would occur in the construction of D=5, N=2 supergravity where some of the scalars are properly dualized.
arXiv (Cornell University), 2023
We present the full Lagrangian and supersymmetry transformation rules for the gauged D = 4, N = 4 (half-maximal) supergravity coupled to an arbitrary number of vector multiplets. Using the embedding tensor formulation, the final results are universal and valid in arbitrary symplectic frames. We also analyze the conditions for the critical points of the scalar potential and specify the full spectrum of the quadratic fluctuations about Minkowski vacua. This allows us also to exclude the appearance of quadratic divergences in the 1-loop corrections to the scalar potential for any Minkowski vacuum fully breaking supersymmetry. We also provide some interesting byproducts of our analysis, like the field equations and the quadratic constraints for the fermion shifts characterizing the gauging (also known as T-tensor identities).
Journal of High Energy Physics, 2002
We consider the geometrical formulation in central charge superspace of the N=4 supergravity containing an antisymmetric tensor gauge field. The theory is on-shell, so clearly, the constraints used for the identification of the multiplet together with the superspace Bianchi identities imply equations of motion for the component fields. We deduce these equations of motion in terms of supercovariant quantities and then, we give them in terms of component fields. These equations of motion, deduced from the geometry, without supposing the existence of a Lagrangian, are found to be the same as those derived from the Lagrangian given in the component formulation of this N=4 supergravity multiplet by Nicolai and Townsend.
Five-dimensional N= 4 supersymmetric mechanics
2010
We perform an su(2) Hamiltonian reduction in the bosonic sector of the su(2)-invariant action for two free (4, 4, 0) supermultiplets. As a result, we get the five dimensional N = 4 supersymmetric mechanics describing the motion of an isospin carrying particle interacting with a Yang monopole. Some possible generalizations of the action to the cases of systems with a more general bosonic action constructed with the help of the ordinary and twisted N = 4 hypermultiplets are considered.