The Description of the symmetry of physical states and spontaneous symmetry breaking
SYMETRIE
SYMETRIE BRISEE
MATIERE CONDENSEE
Lecture given on September 1st, 1980 at the Colloque Pierre Curie sur La Symetrie et les ruptures de sypétrie en phyisque de la matière condensée
MICHEL
P/80/37
IHES
10/1980
A4
9 f.
EN
FR
TEXTE
PREPUBLICATION
P_80_37.pdf
1980
L'Unification de la physique
PHYSIQUE
SYMETRIE
HISTOIRE MODERNE ET CONTEMPORAINE
MICHEL
P/83/66
IHES
10/1983
A4
8 f.
FR
TEXTE
PREPUBLICATION
P_83_66.pdf
1983
Charge conjugation : a Contribution to the history of this internal quantum number of particle physics
PARTICULES
PHYSIQUE NUCLEAIRE
Conference given at the First International Meeting on the History of Scientific Ideas Symmetrie in Phyiscs, Sant Feliu de Guixols, Catalonia, Spain, September 20-26, 1983
MICHEL
P/83/67
IHES
11/1983
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_83_67.pdf
1983
Introduction to spontaneous symmetry breaking : some examples
PHYSIQUE
SYMETRIE BRISEE
MICHEL
P/85/27
IHES
04/1984
A4
14 f.
EN
TEXTE
PREPUBLICATION
P_85_27.pdf
1985
Structure and classification of band representations
CRISTALLOGRAPHIE
SOLIDES
ASTRONOMIE
ORBITE
ETOILES
MODELISATION
ENERGIE
ATOMES
Abstract : Band representaitons in solids are investigated in the general framework of induced representations by using the concepts of orbits (stars) and strata (Wyckoff positions) in their construction and classification. The connection between band representations and irreducible representations of space groups is established by reducing the former in the basis of quasi-Bloch functions wich are eigenfunctions of translations but ar not, in general, eigenfunctions of the Hamiltonian. While irreducible representations of space group ar fnite-dimensional and are induced from infinite-order little groups Gk for vectors K in the Brillouin zone, band representations are infinite-dimensional adn are induced from finite-order little groups Gr for vectors r in the Wigner-Seitz cell. This connection between irreductible representations and band representations of space groups shedd new light on the duality properties of the Brillouin zone and the Wigner-Seitz cell. As an introduction to band representations the induced representations of point groups wich id applied to the investigation of th equivalency of band representations. Based on this connection and on the properties of the crystallographic point groups a necessary condition id established for the inequivalency of band representations induced from maximal isotropy groups. For using this condition there is need fro the induced representaitons of oint groups and a full list of them is given in the paper. One is especially interested in irreducible-band representations which form the elementary building bricks for band representations. From the point of view of the physics, irreducible-band representations correspond to energy bands with minimal numbers of branches. A method id developped for finding all the inequivalent irreducible-band representations of space groups by using the induction from maximal isotropy groups. As a rule the latter leads to inequivalent irreducible-band representations. There are, however, few exceptions to this rule. A full list of such exceptions is tabulated in the paper. With this list at hand one can construct all the different irreducible-band representations of 2-dimensional space groups. For them we list the continuity chords of all their irreducible-band representations.
MICHEL
BACRY
ZAK
P/86/35
IHES
06/1986
A4
46 f.
EN
TEXTE
PREPUBLICATION
P_86_35.pdf
1986
Applications of Group Theory to Quantum Physics : Algebraic Apects
THEORIE DES GROUPES
THEORIE QUANTIQUE
CONGRES ET CONFERENCES
ATOMES
MOLECULES
PHYSIQUE NUCLEAIRE
SYMETRIE
HADRONS
Lectures given at the 1969 Battelle Summer Rencontres in Mathematics and Physics. Seattle - Washington - USA
MICHEL
P/69/X032
IHES
09/1969
A4
97 f.
EN
TEXTE
PREPUBLICATION
P_69_X032.pdf
1969
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
Lectures on open strings, and noncommutative Gauge theories
CHAMPS DE JAUGE
PHYSIQUE
MODELES DES CORDES VIBRANTES
Abstract :The background independent formulation of the gauge theories on D-branes in flat space-time is considered, some examples of the solutions of their equations of motion are presented, the solutions of Dirac equation in these backgrounds are analyzed, and the generalizations to the curved spaces, like orbifolds, conifolds, and K3 surfaces are discussed.
NEKRASOV
P/02/14
IHES
03/2002
A4
8 f.
EN
TEXTE
PREPUBLICATION
P_02_14.pdf
2002
Institut des Hautes Etudes Scientifiques
HISTOIRE
ORGANISATION
MATHEMATIQUES
PHYSIQUE THEORIQUE
SCIENCES DE L'HOMME
BOIS-MARIE
ORMAILLE
GRATIEN
PUBLICATIONS
DON
IHES
F1.2.7
IHES
1986
A4
18 p.
FR
TEXTE
BROCHURE
F1_2_7.pdf
1986
On the Classification of Von Neumann algebras and their automophisms
ALGEBRES DE VON NEUMANN
ESPACES DE HILBERT
ISOMORPHISMES
CONNES
P/76/132
IHES
02/1976
A4
27 f.
EN
TEXTE
PREPUBLICATION
P_76_132.pdf
1976
Invariant elliptic equations and discrete series representations
EQUATIONS AUX DERIVEES PARTIELLES
MODELES MATHEMATIQUES
EQUATION DE KORTEWEG DE VRIES
CONNES
MOSCOVICI
M/80/09
IHES
03/1980
A4
5 f.
EN
TEXTE
PREPUBLICATION
M_80_09.pdf
1980
Non commutative geometry and physics
GEOMETRIE NON COMMUTATIVE
C*-ALGEBRES
TOPOLOGIE
COHOMOLOGIE
THEORIE QUANTIQUE
FIBRES VECTORIELS
PHYSIQUE MATHEMATIQUE
CONNES
M/93/32
IHES
06/1993
A4
70 f.
EN
TEXTE
PREPUBLICATION
M_93_32.pdf
1993
Gravity coupled with matter and the foundation of non commutative geometry
GEOMETRIE DIFFERENTIELLE NON COMMUTATIVE
TOPOLOGIE
GRAVITATION
CHAMPS GRAVITATIONNEL
CONNES
M/96/22
IHES
03/1996
A4
16 f.
EN
TEXTE
PREPUBLICATION
M_96_22.pdf
1996
The Spectral action principle
GEOMETRIE NON COMMUTATIVE
ESPACE
GRAVITE
THEORIE SPECTRALE
CONNES
CHAMSEDDINE
M/96/37
IHES
06/1996
A4
15 f.
EN
TEXTE
PREPUBLICATION
M_96_37.pdf
1996
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