112 research outputs found
Ricci-flat spacetimes with l-conformal Galilei symmetry
Ricci-flat metrics of the ultrahyperbolic signature which enjoy the
l-conformal Galilei symmetry are constructed. They involve the AdS_2-metric in
a way similar to the near horizon black hole geometries. The associated
geodesic equations are shown to describe a second order dynamical system for
which the acceleration generators are functionally independent.Comment: V2: refs. added, the version to appear in PL
On the complex structure in the Gupta-Bleuler quantization method
We examine the general conditions for the existence of the complex structure
intrinsic in the Gupta-Bleuler quantization method for the specific case of
mixed first and second class fermionic constraints in an arbitrary space-time
dimension. The cases d=3 and 10 are shown to be of prime importance. The
explicit solution for d=10 is presented.Comment: 12 pages, LaTe
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
Conformal NewtonâHooke symmetry of PaisâUhlenbeck oscillator
K.A. and J.G. are grateful to Piotr KosiĆski for helpful and illuminating discussions. We thank Peter HorvĂĄthy and Andrei Smilga for useful correspondence. This work was sup-ported by the NCN grant DEC-2013/09/B/ST2/02205 (K.A. and J.G.) and by the RFBR grants 13-02-90602-Arm (A.G.) and 14-02-31139-Mol (I.M.) as well as by the MSU program âNaukaâ under the project 825 (A.G. and I.M.). I.M. gratefully acknowledges the support of the Dynasty Foundation.
©2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP3.It is demonstrated that the PaisâUhlenbeck oscillator in arbitrary dimension enjoys the l -conformal NewtonâHooke symmetry provided frequencies of oscillation form the arithmetic sequence Ïk=(2kâ1)Ï1, where k=1,âŠ,n, and l is the half-integer View the MathML source. The model is shown to be maximally superintegrable. A link to n decoupled isotropic oscillators is discussed and an interplay between the l-conformal NewtonâHooke symmetry and symmetries characterizing each individual isotropic oscillator is analyzed.This work was sup-ported by the NCN grant DEC-2013/09/B/ST2/02205 (K.A. and J.G.) and by the RFBR grants 13-02-90602-Arm (A.G.) and 14-02-31139-Mol (I.M.) as well as by the MSU program âNaukaâ under the project 825 (A.G. and I.M.). I.M. gratefully acknowledges the support of the Dynasty Foundation
N=4 mechanics, WDVV equations and roots
N=4 superconformal multi-particle quantum mechanics on the real line is
governed by two prepotentials, U and F, which obey a system of partial
differential equations linear in U and generalizing the
Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation for F. Putting U=0 yields a
class of models (with zero central charge) which are encoded by the finite
Coxeter root systems. We extend these WDVV solutions F in two ways: the A_n
system is deformed n-parametrically to the edge set of a general orthocentric
n-simplex, and the BCF-type systems form one-parameter families. A
classification strategy is proposed. A nonzero central charge requires turning
on U in a given F background, which we show is outside of reach of the standard
root-system ansatz for indecomposable systems of more than three particles. In
the three-body case, however, this ansatz can be generalized to establish a
series of nontrivial models based on the dihedral groups I_2(p), which are
permutation symmetric if 3 divides p. We explicitly present their full
prepotentials.Comment: 1+25 pages; v2: major revision (more general analysis, new solutions,
additional references); v3: improvements in sects.5,8,9, refs. adde
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