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140122  eng 
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a 9781489918017

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1 

a 't Hooft, Gerard
e [editor]

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0 
0 
a Quantum Fields and Quantum Space Time
h Elektronische Ressource
c edited by Gerard 't Hooft, Arthur Jaffe, Gerhard Mack, Pronob K. Mitter, Raymond Stora

246 
3 
1 
a Proceedings of a NATO ASI held in Cargèse, France, July 22August 3, 1996

250 


a 1st ed. 1997

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a New York, NY
b Springer US
c 1997, 1997

300 


a VIII, 374 p
b online resource

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0 

a Lectures  Noncommutative gauge fields from quantum groups  Duality in N = 2 SUSY SU(2) Yang—Mills theory: a pedagogical introduction  Noncommutative differential geometry and the structure of space time  Quantum integrable models on 1 + 1 discrete space time  Supersymmetry and noncommutative geometry  Turbulence under a magnifying glass  Quantization of space and time in 3 and in 4 spacetime dimensions  Pushing Einstein’s principles to the extreme  Integrable classical and quantum gravity  Quantum affine algebras and integrable quantum systems  Exercises in equivariant cohomology  Some complex quantum manifolds and their geometry  Seminars  Tduality and the moment map  Symmetries of dimensionally reduced string effective action  Non local observables and confinement in BF formulation of YangMills theory  Disorder operators, quantum doubles, and Haag duality in 1+ 1 dimensions  The cohomology and homology of quantum field theory

653 


a Mathematical physics

653 


a Theoretical, Mathematical and Computational Physics

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1 

a Jaffe, Arthur
e [editor]

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1 

a Mack, Gerhard
e [editor]

700 
1 

a Mitter, Pronob K.
e [editor]

710 
2 

a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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0 

a Nato Science Series B:, Physics

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u https://doi.org/10.1007/9781489918017?nosfx=y
x Verlag
3 Volltext

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0 

a 530.1

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a The 1996 NATO Advanced Study Institute (ASI) followed the international tradi tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry
