Frontiers in Number Theory, Physics, and Geometry II : On Conformal Field Theories, Discrete Groups and Renormalization / edited by Pierre Cartier, Pierre Moussa, Bernard Julia, Pierre Vanhove.
Tipo de material:
TextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Descripción: xxviii, 789 páginas recurso en líneaTipo de contenido: - texto
- computadora
- recurso en línea
- 9783540303084
- QA241-247.5
Contenidos:
Resumen: The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics. This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists. The present volume has three parts: Conformal Field Theories, Discrete Groups, Renomalization. The companion volume is subtitled: On Random Matrices, Zeta Functions and Dynamical Systems (Springer, 3-540-23189-7).
Conformal Field Theories for Strings and Branes -- The Dilogarithm Function -- Conformal Field Theory and Torsion Elements of the Bloch Group -- Tracks, Lie's, and Exceptional Magic -- Gauge Theories from D Branes -- On Superconformal Field Theories Associated to Very Attractive Quartics -- Discrete Groups and Automorphic Forms -- An Introduction to Arithmetic Groups -- Automorphic Forms: A Physicist's Survey -- Strings and Arithmetic -- Modular Curves, C*-algebras, and Chaotic Cosmology -- Replicable Functions: An Introduction -- Lectures on the Langlands Program and Conformal Field Theory -- Hopf Algebras and Renormalization -- A Primer of Hopf Algebras -- Renormalization, the Riemann–Hilbert Correspondence, and Motivic Galois Theory -- Factorization in Quantum Field Theory: An Exercise in Hopf Algebras and Local Singularities -- Algebraic Algorithms in Perturbative Calculations -- Multiple Logarithms, Algebraic Cycles and Trees.