38 research outputs found
Integrable string models with constant torsion in terms of chiral invariants of SU(n), SO(n), SP(n) groups
We used the invariant local chiral currents of principal chiral models for
SU(n), SO(n), SP(n) groups to construct new integrable string equations of
hydrodynamic type on the Riemmann space of the chiral primitive invariant
currents and on the chiral non-primitive Casimir operators as Hamiltonians.Comment: 12 pages; 1 figure, This paper is third part of my talk on the "XXII
International Colloquium on Group Theoretical Methods in Physics", Yerevan,
Armenia, August 13-19, 200
BRST Detour Quantization
We present the BRST cohomologies of a class of constraint (super) Lie
algebras as detour complexes. By giving physical interpretations to the
components of detour complexes as gauge invariances, Bianchi identities and
equations of motion we obtain a large class of new gauge theories. The pivotal
new machinery is a treatment of the ghost Hilbert space designed to manifest
the detour structure. Along with general results, we give details for three of
these theories which correspond to gauge invariant spinning particle models of
totally symmetric, antisymmetric and K\"ahler antisymmetric forms. In
particular, we give details of our recent announcement of a (p,q)-form K\"ahler
electromagnetism. We also discuss how our results generalize to other special
geometries.Comment: 43 pages, LaTeX, added reference
Massive Superparticle with Tensorial Central Charges
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4
massive superparticle with tensorial central charges. The model contains a real
parameter k and at possesses one -symmetry while at k=0 the
number of -symmetry is two. The equivalence of the formulations at all
is obtained. The local transformations of -symmetry are
written out. It is considered the using of index spinor for construction of the
tensorial central charges. It is obtained the equivalence at classical level
between the massive D=4 superparticle with one -symmetry and the
massive D=4 spinning particleComment: 20 pages, Late