Space – Time – Matter : : Analytic and Geometric Structures / / ed. by Matthias Staudacher, Jochen Brüning.
This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space – Time – Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theo...
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Table of Contents:
- Frontmatter
- Contents
- Introduction
- Algebraic K-theory, assembly maps, controlled algebra, and trace methods
- Lorentzian manifolds with special holonomy – Constructions and global properties
- Contributions to the spectral geometry of locally homogeneous spaces
- On conformally covariant differential operators and spectral theory of the holographic Laplacian
- Moduli and deformations
- Vector bundles in algebraic geometry and mathematical physics
- Dyson–Schwinger equations: Fix-point equations for quantum fields
- Hidden structure in the form factors of N = 4 SYM
- On regulating the AdS superstring
- Constraints on CFT observables from the bootstrap program
- Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities
- Yangian symmetry inmaximally supersymmetric Yang-Mills theory
- Wave and Dirac equations on manifolds
- Geometric analysis on singular spaces
- Singularities and long-time behavior in nonlinear evolution equations and general relativity
- Index
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