198,418 research outputs found
Any compact group is a gauge group
The assignment of local observables in the vacuum sector, fulfilling the
standard axioms of local quantum theory, is known to determine uniquely a
compact group G of gauge transformations of the first kind together with a
central involutive element k of G, and a complete normal algebra of fields
carrying the localizable charges, on which k defines the Bose/Fermi grading.
We show here that any such pair {G,k}, where G is compact metrizable, does
actually appear. The corresponding model can be chosen to fulfill also the
split property.
This is not a dynamical phenomenon: a given {G,k} arises as the gauge group
of a model where the local algebras of observables are a suitable subnet of
local algebras of a possibly infinite product of free field theories.Comment: 13 pages, LaTeX. To appear on Reviews in Mathematical Physics.
References added; minor changes in styl
Duality, Strings and Supergravity: a Status Report
We will report on recent advances in the understanding of non-perturbative
interconnections between different string dualities. Weak-strong coupling
duality (S-duality) and T-duality (symmetry under compactification on dual
tori) allows one to compare and explore the strong coupling regime of seemingly
unrelated theories. These theories naturally merge in a quantum version of
supergravity called M-theory. The dynamical role of `branes' of different
nature and the new dynamical tool of (M)atrix formulation of M-theory will be
briefly mentioned.Comment: 12 pages, LaTeX; Plenary Talk given at the XII International Congress
of Mathematical Physics, 13-19 July 1997, Brisbane, Australi
- …