Noncommutative geometry and matrix theory : compactification on tori
PHYSIQUE DES HAUTES ENERGIES
GEOMETRIE NON COMMUTATIVE
COMPACTIFICATION
TORE
CONNES
DOUGLAS
SCHWARZ
M/97/82
IHES
12/1997
A4
22 f.
EN
TEXTE
PREPUBLICATION
M_97_82.pdf
1997
Noncommutative Field Theory
THEORIE QUANTIQUE DES CHAMPS
ESPACE-TEMPS
CINEMATIQUE
MODELES DES CORDES VIBRANTES
SOLITONS
INSTANTONS
Abstract : We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level.
To appear in Reviews of Modern Physics.
NEKRASOV
DOUGLAS
P/01/27
IHES
06/2001
A4
31 f.
EN
TEXTE
PREPUBLICATION
P_01_27.pdf
2001