50 research outputs found
A linear realization for the new space-time superalgebras in ten and eleven dimensions
The new extensions of the Poincar\'e superalgebra recently found in ten and
eleven dimensions are shown to admit a linear realization. The generators of
the nonlinear and linear group transformations are shown to fall into
equivalent representations of the superalgebra. The parametrization of the
coset space , with a given extended supergroup and the Lorentz
subgroup, that corresponds to the linear transformations is presented.Comment: 15 pages, LaTe
A Covariant Action for the Eleven Dimensional Superstring
We suggest a super Poincar\'e invariant action for closed eleven dimensional
superstring. The sector of physical variables , ,
, with and the transverse part of
the D=11 coordinate is shown to possess free dynamics.Comment: 15 pages, LaTex file, to appear in Mod. Phys. Lett. A (1997
Remark on quantum mechanics with conformal Galilean symmetry
Conformal Galilei algebra contains so(1,2) subalgebra which is the conformal
algebra in one dimension. In this note we generalize methods previously
developed for one-dimensional many-body systems and construct a unitary map
relating a quantum mechanics invariant under the conformal Galilean
transformations to a set of decoupled particles for which the same symmetry is
realized in a nonlocal way. Possible applications of the map are discussed.Comment: 5 pages,V3: minor modification
N=4 Mechanics, WDVV Equations and Polytopes
N=4 superconformal n-particle quantum mechanics on the real line is governed
by two prepotentials, U and F, which obey a system of partial nonlinear
differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde
(WDVV) equation for F. The solutions are encoded by the finite Coxeter systems
and certain deformations thereof, which can be encoded by particular polytopes.
We provide A_n and B_3 examples in some detail. Turning on the prepotential U
in a given F background is very constrained for more than three particles and
nonzero central charge. The standard ansatz for U is shown to fail for all
finite Coxeter systems. Three-particle models are more flexible and based on
the dihedral root systems.Comment: Talk at ISQS-17 in Prague, 19-21 June 2008, and at Group-27 in
Yerevan, 13-19 August 2008; v2: B_3 examples correcte
Quartet unconstrained formulation for massive higher spin fields
We generalize the unconstrained description of free massless higher spin
fields previously developed in [Nucl.Phys. B 779 (2007) 155] to the case of
free massive higher spin fields in a flat space of arbitrary dimension. The
Lagrangian is given in an easy-to-handle form for an arbitrary value of spin.
It is local, free from higher derivative terms, and involves a minimal number
of auxiliary fields needed for an unconstrained gauge invariant description of
a free massive higher spin field in arbitrary dimension.Comment: V2: discussion extended, acknowledgements and references adde