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Space – Time – Matter

Analytic and Geometric Structures

Ed. by Brüning, Jochen / Staudacher, Matthias

With contrib. by Fiedler, Bernold / Ecker, Klaus / Dittberner, Friederike / Bär, Christian / Andersson, Lars / Brüning, Jochen / Schüth, Dorothee / Baum, Helga / Juhl, Andreas / Altmann, Klaus / Farkas, Gavril / Alexander, Schmitt / Andreas, Björn / Kreimer, Dirk / Nandan, Dhritiman / Fiorini, Valentina / Liendo, Pedro / Chiodaroli, Marco / Ferro, Livia / Hell, Juliette / Varisco, Marco / Boldt, Sebastian / Yang, Gang / Plefka, Jan / Francesco, Bei / Güneysu, Batu / Matthias, Ludewig

    119,95 € / $137.99 / £109.00*

    Hardcover
    Publication Date:
    April 2018
    ISBN
    978-3-11-045135-1
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    Overview

    • A summary of the research of the SFB Space-Time-Matter
    • Includes recent advances in the mathematical foundations of string theory and cosmology
    • With contributions from renowned institutes s.a. the Max Planck Institute for Gravitational Physics

    Aims and Scope

    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 theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail.

    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 ofN = 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 in maximally 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

    Details

    24.0 x 17.0 cm
    xxii, 495 pages
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Mathematical physics; string theory; cosmology; quantum field theory; algebraic geometry; differential geometry

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    Matthias Staudacher and Jochen Brüning, Humboldt-Universität zu Berlin, Germany.

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