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A superconformal theory of massless higher spin fields in D = 2 + 1
ANNALS OF PHYSICS 197, 456457
Abstracts
(1990)
of Papers
A Superconformal Theory of Massless LINETSKY. P. N. Lebedev Physical Prospect, 53, Moscow, USSR.
We construct a superconformal The codstruction relies on the algebra osp(NI4) as a maximal the higher spin superconformal particles with maximal spin two. Green functions was obtained.
to Appear
in Future
Issues
Higher Spin Fields in D = 2+ 1. E. S. FRADKIN AND V. YA. Institute of the Academy of Sciences of the USSR, Leninsky
theory of higher spin fields in a space-time of dimension D = 2 inlinite-dimensional superalgebra shsc(Nl3) with the superconformal finite-dimensional subalgebra. The invariant Chern-Simons action theory is an extension of the usual conformal supergravity action The quantization was carried out and the generating functional of
+ 1. for for the
Towards a “Pointless” Generalisation qf Yang-Mills Theory. HONG-MO CHAN. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 OQX, England; SHEUNG TSUN Tsou. Mathematical Institute, 24-29 St. Giles’, Oxford, OX1 3LB, England. We examine some generalisations in physical concepts of gauge theories, leading towards a scenario corresponding to noncommutative geometry, where the concept of locality loses its usual meaning of being associated with points on a base manifold and becomes intertwined with the concept of internal symmetry, suggesting thereby a gauge theory of extended objects. Examples are given where such generalised gauge structures can be realised, in particular that of string theory.
Unitary
Symmetry in Baryon-Barvon Scattering. Upton, New York 11973; AND HERMAN Cambridge, Massachusetts 02139.
CARL B. DOVER. Brookhaven National Laboratory, FESHBACH. Massachusetts Institute of Technology,
Motivated by a recent suggestion that an SLI(3) selection rule may explain the narrow widths of some hypernuclear excitations in the Z continuum, we reexamine the role of unitary symmetry in low energy baryon-baryon (BB) interactions. A direct examination of the BB scattering data indicates that SU(3) symmetry is broken, but leaves us with several alternative schemes for describing the mechanism of symmetry breaking. We study the one-boson exchange (OBE) model in some detail, and relate the usual spin-isospin representation of BB potentials/amplitudes to the quadratic and cubic SU(3) Casimir operators F2 and G3. For the long-range part of the BB interaction (pseudoscalar meson exchange), the G3 amplitude is important, whereas the short-range part (quark-gluon or vector meson exchange) leads to the FZ form. In the Nijmegen OBE model, which is very successful in reproducing the date, SU(3) symmetry is maintained at the level of coupling constants, and broken through the use of observed meson and baryon masses in the calculation of baryon-baryon potentials Y,,. In spite of the sizable mass differences and the use of phenomenological hard cores at short distances in the OBE approach, certain SU(3) relations are still reasonably well satisfied. We also discuss other mechanisms of SU(3) breaking which involve an explicit hypercharge dependence of the BB amplitudes.
456 0003-4916/90
$7.50
Copyright 0 1990 by Academic Press, Inc. All rights of reproduction in any form reserved.
Abstracts
(1990)
of Papers
A Superconformal Theory of Massless LINETSKY. P. N. Lebedev Physical Prospect, 53, Moscow, USSR.
We construct a superconformal The codstruction relies on the algebra osp(NI4) as a maximal the higher spin superconformal particles with maximal spin two. Green functions was obtained.
to Appear
in Future
Issues
Higher Spin Fields in D = 2+ 1. E. S. FRADKIN AND V. YA. Institute of the Academy of Sciences of the USSR, Leninsky
theory of higher spin fields in a space-time of dimension D = 2 inlinite-dimensional superalgebra shsc(Nl3) with the superconformal finite-dimensional subalgebra. The invariant Chern-Simons action theory is an extension of the usual conformal supergravity action The quantization was carried out and the generating functional of
+ 1. for for the
Towards a “Pointless” Generalisation qf Yang-Mills Theory. HONG-MO CHAN. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 OQX, England; SHEUNG TSUN Tsou. Mathematical Institute, 24-29 St. Giles’, Oxford, OX1 3LB, England. We examine some generalisations in physical concepts of gauge theories, leading towards a scenario corresponding to noncommutative geometry, where the concept of locality loses its usual meaning of being associated with points on a base manifold and becomes intertwined with the concept of internal symmetry, suggesting thereby a gauge theory of extended objects. Examples are given where such generalised gauge structures can be realised, in particular that of string theory.
Unitary
Symmetry in Baryon-Barvon Scattering. Upton, New York 11973; AND HERMAN Cambridge, Massachusetts 02139.
CARL B. DOVER. Brookhaven National Laboratory, FESHBACH. Massachusetts Institute of Technology,
Motivated by a recent suggestion that an SLI(3) selection rule may explain the narrow widths of some hypernuclear excitations in the Z continuum, we reexamine the role of unitary symmetry in low energy baryon-baryon (BB) interactions. A direct examination of the BB scattering data indicates that SU(3) symmetry is broken, but leaves us with several alternative schemes for describing the mechanism of symmetry breaking. We study the one-boson exchange (OBE) model in some detail, and relate the usual spin-isospin representation of BB potentials/amplitudes to the quadratic and cubic SU(3) Casimir operators F2 and G3. For the long-range part of the BB interaction (pseudoscalar meson exchange), the G3 amplitude is important, whereas the short-range part (quark-gluon or vector meson exchange) leads to the FZ form. In the Nijmegen OBE model, which is very successful in reproducing the date, SU(3) symmetry is maintained at the level of coupling constants, and broken through the use of observed meson and baryon masses in the calculation of baryon-baryon potentials Y,,. In spite of the sizable mass differences and the use of phenomenological hard cores at short distances in the OBE approach, certain SU(3) relations are still reasonably well satisfied. We also discuss other mechanisms of SU(3) breaking which involve an explicit hypercharge dependence of the BB amplitudes.
456 0003-4916/90
$7.50
Copyright 0 1990 by Academic Press, Inc. All rights of reproduction in any form reserved.