Gauged Supergravity Research Articles

New gauge supergravity in seven and eleven dimensions

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 ${(e}_{\ensuremath{\mu}}^{a}),$ the spin connection $({\ensuremath{\omega}}_{\ensuremath{\mu}}^{\mathrm{ab}}),$ two gravitini $({\ensuremath{\psi}}_{\ensuremath{\mu}}^{i})$ and an sp(2) gauge connection ${(a}_{\ensuremath{\mu}j}^{i}).$ These fields form a connection for $o\mathrm{sp}(2|8).$ In eleven dimensions the theory is an $N=1$ supergravity containing, apart from ${e}_{\ensuremath{\mu}}^{a}$ and ${\ensuremath{\omega}}_{\ensuremath{\mu}}^{\mathrm{ab}},$ one gravitino ${\ensuremath{\psi}}_{\ensuremath{\mu}}$ and a totally antisymmetric fifth rank Lorentz tensor one-form, ${b}_{\ensuremath{\mu}}^{\mathrm{abcde}}.$ These fields form a connection for $o\mathrm{sp}(32|1).$ 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 non-negative energy around an AdS background, which is a classical solution that saturates the Bogomol'nyi bound obtained from the superalgebra.

Evaluation of glueball masses from supergravity

In the framework of the conjectured duality relation between large N gauge theory and supergravity the spectra of masses in large N gauge theory can be determined by solving certain eigenvalue problems in supergravity. In this paper we study the eigenmass problem given by Witten as a possible approximation for masses in QCD without supersymmetry. We place a particular emphasis on the treatment of the horizon and related boundary conditions. We construct exact expressions for the analytic expansions of the wave functions both at the horizon and at infinity and show that requiring smoothness at the horizon and normalizability gives a well defined eigenvalue problem. We show, for example, that there are no smooth solutions with a vanishing derivative at the horizon. The mass eigenvalues up to ${m}^{2}=1000$ corresponding to smooth normalizable wave functions are presented. We comment on the relation of our work with the results found in a recent paper by C. Cs\'aki et al., hep-th/9806021, which addresses the same problem.

Supergravity, the DBI action and black hole physics

The assumptions behind the recently conjectured relation between gauge theory and supergravity are elaborated on. It is pointed out that the scaling limit that preserves supergravity solutions, gives the entire DBI action on the gauge theory side, but in the low energy limit the relation between the conformal field theory and Anti-de Sitter supergravity emerges. We also argue that recent work on these issues may help in understanding the physics of five (four) dimensional black hole with three (four) charges in the so-called dilute gas region.

The large N limit of the (2,0) superconformal field theory

We discuss the large N limit of the (2,0) field theory in six dimensions. We do this by assuming the validity of Maldacena's conjecture of the correspondence between large N gauge theories and supergravity backgrounds, here $AdS_7\times S^4$. We review the spectrum of the supergravity theory and compute the spectrum of primary operators of the conformal algebra of arbitrary spin.

Non-Abelian Bogomol'nyi-Prasad-Sommerfield Monopoles inN=4Gauged Supergravity

We study static, spherically symmetric, and purely magnetic solutions of $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ gauge supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. These present the first known example of non-Abelian backgrounds in gauge supergravity and in leading order effective string theory.

Laboratory tests for the constituents of dark matter

AbstractThe problem of dark matter in astrophysics is discussed. As the probable hypothesis about the nature of dark matter the suggestion is examined that it consists of light hypothetical elementary particles which are predicted in the frame of united gauge theories, supersymmetry and supergravity. The new restrictions are obtained on the constants of long‐range forces decreasing with distance by the degree low. The different restrictions are analysed on the characteristics of constituents of dark matter obtained from the gravitational experiments, Casimir effect and atomic force microscopy.

N=1 Poincaré superspace current as source of supergravities

The various admissible reductions of the superspace current, studied previously, allow to determine the structure of the basic supergravity gauge superfields, their transformation laws and their associated superfield strengths. A complete treatment of linearN=1 Poincaré supergravities coupled to matter, represented by superfield currents, is given.

The N=1 spinning superstring. A model of the super superstring

We present a string lagrangian incorporating both local (1,0) worldsheet supersymmetry and global N=1 target space supersymmetry. Depending on the choice of boundary conditions, the phydical massless spectrum either coincides with that of the N = 1 spinning superparticle, or corresponds to the physical content of the N=1, D=10 supergravity gauge multiplet. Both choices lead to tachyon free theories.

Inflation is natural in extended Gauge supergravity

The combined influence of the topological Casimir effect and the large positive cosmological constant required by the structure of extended gauge supergravities leads to natural realization of Starobinskii's inflationary scenario for a topologically nontrivial universe. This is demonstrated for a universe with effective topology M/sub q/ = (S/sup 1/)/sup q/ x R/sup 4-q/ (q = 1, 2, 3) filled with the fields of N = 4 gauge supergravity. The probability of quantum creation of such a universe is estimated, and it is also noted that similar arguments will be valid for other versions of gauge supergravities.

Quaternionic Variational Formalism for Poincare Gauge Theory and Supergravity

Quaternionic Variational Formalism for Poincare Gauge Theory and Supergravity

Quantum effects and SU(2)×U(1) breaking in supergravity gauge theories

Renormalization effects are studied at the one-loop level in the context of gauge models coupled to supergravity. General renormalization group equations are derived for the parameters of the effective theory by taking advantage of the supersymmetric structure. One-loop gaugino masses, which enter these equations are calculated in grand unified models and turn out to be rather large. The results are applied to the study of the effective theory of a SU(3)×SU(2)×U(1) model which includes a gauge singlet in addition to the minimal set of fields. It is possible to induce the correct breaking of the electroweak gauge invariance when quantum corrections are taken into account, even without very heavy quarks.

Normal gauge in supergravity

Normal gauge in supergravity

Stochastic Quantization of Gauge Theories and Supergravity

Stochastic Quantization of Gauge Theories and Supergravity

Ghost-free axial gauge in supergravity

A formulation of a ghost-free axial gauge is constructed in supergravity. In this paper we concentrate mainly on the spin-3/2 fermion field, since the discussion on the gravitational field is the same in our supergravity theory as that given in a previous paper by the present author on Einstein gravity. In our axial gauge we investigate a general structure of a free propagator, an exact propagator with eight form factors, two physical polarization vectors, and the physical polarization sum for a spin-3/2 fermion.