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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
TeilnehmendeR:
MitwirkendeR:
HerausgeberIn:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Online Access:
Physical Description:1 online resource (XXII, 495 p.)
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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