Gauged D=4 N=4 Supergravity (original) (raw)
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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.
Higher-Derivative Gravitation and a New Mechanism for Supersymmetry Breaking in Four-Dimensions
Progress of Theoretical Physics Supplement, 1996
A discussion of the number of degrees of freedom, and their dynamical properties, in higher derivative gravitational theories is presented. The complete non-linear sigma model for these degrees of freedom is exhibited using the method of auxiliary fields. As a by-product we present a consistent non-linear coupling of a spin-2 tensor to gravitation. It is shown that non-vanishing (C µναβ ) 2 terms arise in N = 1, D = 4 superstring Lagrangians due to one-loop radiative corrections with light-field internal lines. We discuss the general form of quadratic (1, 1) supergravity in two dimensions, and show that this theory is equivalent to two scalar supermultiplets coupled to the usual Einstein supergravity. It is demonstrated that the theory possesses stable vacua with vanishing cosmological constant which spontaneously break supersymmetry. We then generalize this result to N = 1 supergravity in four dimensions. Specifically, we demonstrate that a class of higher derivative supergravity theories is equivalent to two chiral supermultiplets coupled in a specific way to Einstein supergravity. These theories are shown to possess stable vacuum states with vanishing cosmological constant which spontaneously break the N = 1 supersymmetry.
gauged supergravity coupled to vector–tensor multiplets
2011
We construct the general four-dimensional N = 2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.
Four-dimensional higher-derivative supergravity and spontaneous supersymmetry breaking
Nuclear Physics B, 1996
We construct two classes of higher-derivative supergravity theories generalizing Einstein supergravity. We explore their dynamical content as well as their vacuum structure. The first class is found to be equivalent to Einstein supergravity coupled to a single chiral superfield. It has a unique stable vacuum solution except in a special case, when it becomes identical to a simple no-scale theory. The second class is found to be equivalent to Einstein supergravity coupled to two chiral superfields and has a richer vacuum structure. It is demonstrated that theories of the second class can possess a stable vacuum with vanishing cosmological constant that spontaneously breaks supersymmetry. We present an explicit example of this phenomenon and compare the result with the Polonyi model.
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.
Tensor and vector multiplets in six-dimensional supergravity
Nucl.Phys. B519 (1998) 115-140, 1998
We construct the complete coupling of (1, 0) supergravity in six dimensions to n tensor multiplets, extending previous results to all orders in the fermi fields. We then add couplings to vector multiplets, as dictated by the generalized Green-Schwarz mechanism. The resulting theory embodies factorized gauge and supersymmetry anomalies, to be disposed of by fermion loops, and is determined by corresponding Wess-Zumino consistency conditions, aside from a quartic coupling for the gaugini. The supersymmetry algebra contains a corresponding extension that plays a crucial role for the consistency of the construction. We leave aside gravitational and mixed anomalies, that would only contribute to higher-derivative couplings.
1996
Relying on the geometrical set up of Special K\"ahler Geometry and Quaternionic Geometry, which I discussed at length in my Lectures at the 1995 edition of this Spring School, I present here the recently obtained fully general form of N=2 supergravity with completely arbitrary couplings. This lagrangian has already been used in the literature to obtain various results: notably the partial breaking of supersymmetry and various extremal black--hole solutions. My emphasis, however, is only on providing the reader with a completely explicit and ready to use component expression of the supergravity action. All the details of the derivation are omitted but all the definitions of the items entering the lagrangian and the supersymmetry transformation rules are given.
Potential and mass-matrix in gauged N = 4 supergravity
We discuss the potential and mass-matrix of gauged N = 4 matter coupled supergravity for the case of six matter multiplets, extending previous work by considering the dependence on all scalars. We consider all semi-simple gauge groups and analyse the potential and its first and second derivatives in the origin of the scalar manifold. Although we find in a number of cases an extremum with a positive cosmological constant, these are not stable under fluctuations of all scalar fields.
A Green-Schwarz mechanism for D = 4, N = 1 supergravity anomalies
Nuclear Physics B, 1992
A method is presented for cancelling the superconformal-Weyl-U(1) anomaly in four-dimensional N = I supergravity theories coupled to matter. This method is explicitly demonstrated for both the new minimal and old minimal formulations of supergravity. An anomaly in Kähler transformations is shown to exist in such theories and we present a mechanism for rendering these theories quantum Kähler invariant. Finally, the relationship to duality invariance in low-energy effective superstring theory is discussed.