Frontiers in Number Theory, Physics, and Geometry II [electronic resource] : On Conformal Field Theories, Discrete Groups and Renormalization /
Cartier, Pierre E.editor.
Julia, Bernard.editor.
Moussa, Pierre.editor.
Vanhove, Pierre.editor.
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 become prominent. This book focuses on the broader interface of number theory, geometry, and physics. It is presented in three parts: Conformal Field Theories, Discrete Groups, and Renormalization.
Description based upon print version of record.
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 become prominent. This book focuses on the broader interface of number theory, geometry, and physics. It is presented in three parts: Conformal Field Theories, Discrete Groups, and Renormalization.
Includes bibliographical references and index.
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.
Number theory.
Algebraic geometry.
Mathematical physics.
Number Theory.
Algebraic Geometry.
Theoretical, Mathematical and Computational Physics.