Frontiers in Number Theory, Physics, and Geometry II

On Conformal Field Theories, Discrete Groups and Renormalization
Buch | Hardcover
XXVIII, 789 Seiten
2006 | 2007
Springer Berlin (Verlag)
978-3-540-30307-7 (ISBN)

Lese- und Medienproben

Frontiers in Number Theory, Physics, and Geometry II -
90,94 inkl. MwSt
lt;p>Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Part I: Conformal Field Theory. E. Frenkel: Lectures on the Langlands Program and Conformal Field Theory.- W. Nahm: Conformal Field Theory and Torsion Elements of the Bloch Group.- P. Cvitanovic: Tracks, Lie's, and Exceptional Magic.- P. Di Vecchia/A. Liccardo: Gauge Theories from D. Branes.- K. Wendland: On Superconformal Field Theories Associated to Very Attractive Quartics.- Part II: Discrete Groups. C. Soulé: An Introduction to Arithmetic Groups.- B. Pioline/A. Waldron: Automorphic Forms: A Physicist's Survey.- J. McKay/A. Sebbar: Replicable Functions: An Introduction.- D. Zagier: The Dilogarithm Function in Geometry and Number Theory.- H. Gangl/A.B.Goncharov/A. Levin: Multiple Logarithms, Algebraic Cycles and Trees.- M. Marcolli: Modular Curves, C-Algebras and Chaotic Cosmology.- G. Moore: Strings and Arithmetic.- Part III: Renormalization. A. Connes/M. Marcolli: Renormalization, The Riemann-Hilbert correspondence, and Motivic Galois Theory.- D. Kreimer: Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities.- S. Weinzierl: Algebraic Algorithms in Perturbative Calculations.

Erscheint lt. Verlag 6.12.2006
Zusatzinfo XXVIII, 789 p. 23 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 1326 g
Themenwelt Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Naturwissenschaften Physik / Astronomie
Schlagworte conformal field theory • discrete groups • Diskrete Gruppe • Feldtheorie (Mathematik) • MSC (2000): 11F03, 11F06, 11G55, 11M06, 15A90, 16W30, 57T05 • Number Theory • Prime • renormalization • Zahlentheorie
ISBN-10 3-540-30307-3 / 3540303073
ISBN-13 978-3-540-30307-7 / 9783540303077
Zustand Neuware
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