27 research outputs found
D=(0|2) Dirac--Maxwell--Einstein Theory as a Way for Describing Supersymmetric Quartions
Drawing an analogy with the Dirac theory of fermions interacting with
electromagnetic and gravitational field we write down supersymmetric equations
of motion and construct a superfield action for particles with spin 1/4 and 3/4
(quartions), where the role of quartion momentum in effective
(2+1)--dimensional space-time is played by an abelian gauge superfield
propagating in a basic two-dimensional Grassmann-odd space with a cosmological
constant showing itself as the quartion mass. So, the (0|2) (0 even and 2 odd)
dimensional model of quartions interacting with the gauge and gravitational
field manifests itself as an effective (2+1)-dimensional supersymmetric theory
of free quartions.Comment: 16 pages, LaTeX, report DFPD/93/TH/4
Towards a Complete Twistorization of the Heterotic String
In and 10 space--time dimensions considered is a string model
invariant under transformations of space--time supersymmetry and
local worldsheet supersymmetry with the both Virasoro constraints solved in the
twistor form. The twistor solution survives in a modified form even in the
presence of the heterotic fermions.Comment: 11 pages, latex, report no. Goteborg-ITP-94-1
Duality Symmetric Actions with Manifest Space-Time Symmetries
We consider a space-time invariant duality symmetric action for a free
Maxwell field and an invariant effective action
describing a low-energy bosonic sector of the heterotic string compactified on
a six-dimensional torus. The manifest Lorentz and general coordinate invariant
formulation of the models is achieved by coupling dual gauge fields to an
auxiliary vector field from an axionic sector of the theory.Comment: 9 pages, LaTeX, no figures, references added, misprints eliminate
SUPERSTRINGS AND SUPERMEMBRANES IN THE DOUBLY SUPERSYMMETRIC GEOMETRICAL APPROACH
We perform a generalization of the geometrical approach to describing
extended objects for studying the doubly supersymmetric twistor--like
formulation of super--p--branes. Some basic features of embedding world
supersurface into target superspace specified by a geometrodynamical condition
are considered. It is shown that the main attributes of the geometrical
approach, such as the second fundamental form and extrinsic torsion of the
embedded surface, and the Codazzi, Gauss and Ricci equations, have their doubly
supersymmetric counterparts. At the same time the embedding of supersurface
into target superspace has its particular features. For instance, the embedding
may cause more rigid restrictions on the geometrical properties of the
supersurface. This is demonstrated with the examples of an N=1 twistor--like
supermembrane in D=11 and type II superstrings in D=10, where the
geometrodynamical condition causes the embedded supersurface to be minimal and
puts the theories on the mass shell.Comment: 45 pages, LaTeX, 3 appendicie