256 research outputs found
Harmonic space and quaternionic manifolds
We find a principle of harmonic analyticity underlying the quaternionic
(quaternion-K\"ahler) geometry and solve the differential constraints which
define this geometry. To this end the original -dimensional quaternionic
manifold is extended to a bi-harmonic space. The latter includes additional
harmonic coordinates associated with both the tangent local group and
an extra rigid group rotating the complex structures. Then the
constraints can be rewritten as integrability conditions for the existence of
an analytic subspace in the bi-harmonic space and solved in terms of two
unconstrained potentials on the analytic subspace. Geometrically, the
potentials have the meaning of vielbeins associated with the harmonic
coordinates. We also establish a one-to-one correspondence between the
quaternionic spaces and off-shell supersymmetric sigma-models coupled to
supergravity. The general sigma-model Lagrangian when written in
the harmonic superspace is composed of the quaternionic potentials. Coordinates
of the analytic subspace are identified with superfields describing
matter hypermultiplets and a compensating hypermultiplet of supergravity.
As an illustration we present the potentials for the symmetric quaternionic
spaces.Comment: 44 pages, LATEX, JHU-TIPAC-920023, ENSLAPP-L-405-92, MPI-Ph/92-8
Non-BPS Brane Dynamics And Dual Tensor Gauge Theory
The action for the long wavelength oscillations of a non-BPS p=3 brane
embedded in N=1, D=5 superspace is determined by means of the coset method. The
D=4 world volume Nambu-Goldstone boson of broken translation invariance and the
two D=4 world volume Weyl spinor Goldstinos of the completely broken
supersymmetry describe the excitations of the brane into the broken space and
superspace directions. The resulting action is an invariant synthesis of the
Akulov-Volkov and Nambu-Goto actions. The D=4 antisymmetric tensor gauge theory
action dual to the p=3 brane action is determined.Comment: 15 pages, no figure
Bulk and boundary factorized S-matrices
We investigate the -invariant bulk (1+1D, factorized) -matrix
constructed by Ogievetsky, using the bootstrap on the three-point coupling of
the vector multiplet to constrain its CDD ambiguity. We then construct the
corresponding boundary -matrix, demonstrating it to be consistent with
symmetry.Comment: 7 page
Quantum Deformed Algebra and Superconformal Algebra on Quantum Superspace
We study a deformed algebra on a quantum superspace. Some
interesting aspects of the deformed algebra are shown. As an application of the
deformed algebra we construct a deformed superconformal algebra. {}From the
deformed algebra, we derive deformed Lorentz, translation of
Minkowski space, and its supersymmetric algebras as closed
subalgebras with consistent automorphisms.Comment: 27 pages, KUCP-59, LaTeX fil
Nonlinear realization of local symmetries of AdS space
Coset methods are used to construct the action describing the dynamics
associated with the spontaneous breaking of the local symmetries of AdS_{d+1}
space due to the embedding of an AdS_d brane. The resulting action is an
SO(2,d) invariant AdS form of the Einstein-Hilbert action, which in addition to
the AdS_d gravitational vielbein, also includes a massive vector field
localized on the brane. Its long wavelength dynamics is the same as a massive
Abelian vector field coupled to gravity in AdS_d space.Comment: 17 page
A Higgs Mechanism for Gravity. Part II: Higher Spin Connections
We continue the work of hep-th/0503024 in which gravity is considered as the
Goldstone realization of a spontaneously broken diffeomorphism group. We
complete the discussion of the coset space Diff(d,R)/SO(1,d-1) formed by the
d-dimensional group of analytic diffeomorphisms and the Lorentz group. We find
that this coset space is parameterized by coordinates, a metric and an infinite
tower of higher-spin-like or generalized connections. We then study effective
actions for the corresponding symmetry breaking which gives mass to the higher
spin connections. Our model predicts that gravity is modified at high energies
by the exchange of massive higher spin particles.Comment: 17 pages; discussion on local Poincare invariance and matter currents
added; references adde
Three form potential in (special) minimal supergravity superspace and supermembrane supercurrent
This contribution begins the study of the complete superfield Lagrangian
description of the interacting system of D=4 N=1 supergravity (SUGRA) and
supermembrane. Firstly, we review a 'three form supergravity' by Ovrut and
Waldram, which we prefer to call 'special minimal supergravity'. This off-shell
formulation of simple SUGRA is appropriate for our purposes as the
supermembrane action contains the so-called Wess-Zumino term given by the
integral over a three form potential in superspace, C3. We describe this
formulation in the frame of Wess--Zumino superfield approach, showing how the
basic variations of minimal SUGRA are restricted by the conditions of the
existence of a three-form potential C3 in its superspace. In this language the
effect of dynamical generation of cosmological constant, known to be
characteristic for this formulation of SUGRA, appears in its superfield form,
first described by Ogievetsky and Sokatchev in their formulation of SUGRA as a
theory of axial vector superfield. Secondly, we vary the supermembrane action
with respect to the special minimal SUGRA superfields (basic variations) and
obtain the supercurrent superfields as well as the supergravity superfield
equations with the supermembrane contributions.Comment: 18 pages, no figures. V2: Important references added. The abstract
and presentation have been changed to reflect the overloop with that.
Submitted to the QTS7 Proceedings. J. Phys. style use
Colliders and Brane Vector Phenomenology
Brane world oscillations manifest themselves as massive vector gauge fields.
Their coupling to the Standard Model is deduced using the method of nonlinear
realizations of the spontaneously broken higher dimensional space-time
symmetries. Brane vectors are stable and weakly interacting, and therefore
escape particle detectors unnoticed. LEP and Tevatron data on the production of
a single photon in conjunction with missing energy are used to delineate
experimentally excluded regions of brane vector parameter space. The additional
region of parameter space accessible to the LHC as well as a future lepton
linear collider is also determined by means of this process.Comment: 12 pages, 13 figure
Supermembrane interaction with dynamical D=4 N=1 supergravity. Superfield Lagrangian description and spacetime equations of motion
We obtain the complete set of equations of motion for the interacting system
of supermembrane and dynamical D=4 N = 1 supergravity by varying its complete
superfield action and writing the resulting superfield equations in the special
gauge where the supermembrane Goldstone field is set to zero. We solve the
equations for auxiliary fields and discuss the effect of dynamical generation
of cosmological constant in the Einstein equation of interacting system and its
renormalization due to some regular contributions from supermembrane. These two
effects (discussed in late 70th and 80th, in the bosonic perspective and in the
supergravity literature) result in that, generically, the cosmological constant
has different values in the branches of the spacetime separated by the
supermembrane worldvolume.Comment: 23 pages, no figures. V2 two references added, 24 page
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