
Anton Rebhan,Ludmil Katzarkov,Johanna Knapp,Radoslav Rashkov,Emanuel Scheidegger

20121030>
The Legacy of Maximilian Kreuzer
Author: Anton Rebhan,Ludmil Katzarkov,Johanna Knapp,Radoslav Rashkov,Emanuel Scheidegger
Publisher: World Scientific
ISBN: 9814412562
Category: Mathematics
Page: 568
View: 2710
This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West. Besides a collection of review and research articles from highprofile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corresponding mathematical developments, this book contains a pedagogical account of the important work of Brandt, Dragon, and Kreuzer on classification of anomalies in gauge theories. This highly cited work, which is also quoted in the textbook of Steven Weinberg on quantum field theory, has not yet been presented in full detail except in private lecture notes by Norbert Dragon. Similarly, the software package PALP (Package for Analyzing Lattice Polytopes with applications to toric geometry), which has been incorporated in the SAGE (Software for Algebra and Geometry Experimentation) project, has not yet been documented in full detail. This book contains a user manual for a new thoroughly revised version of PALP. By including these two very useful original contributions, researchers in quantum field theory, string theory, and mathematics will find added value in a pedagogical presentation of the classification of quantum gauge field anomalies, and the accompanying comprehensive manual and tutorial for the powerful software package PALP. Contents:Gauge Field Theory, Anomalies, and Supersymmetry:BRST Symmetry and Cohomology (N Dragon and F Brandt)Aspects of Supersymmetric BRST Cohomology (F Brandt)Character Expansion for HOMFLY Polynomials: Integrability and Difference Equations (A Mironov, A Morozov and A Morozov)Bicategories in Field Theories — An Invitation (T Nikolaus and C Schweigert)The Compactification of IIB Supergravity on S5 Revisited (P van Nieuwenhuizen)String Theory and Algebraic Geometry:Max Kreuzer's Contributions to the Study of Calabi–Yau Manifolds (P Candelas)Calabi–Yau ThreeFolds: Poincaré Polynomials and Fractals (A Ashmore and YH He)Conifold Degenerations of Fano 3Folds as Hypersurfaces in Toric Varieties (V Batyrev and M Kreuzer)Nonassociativity in String Theory (R Blumenhagen)Counting Points and Hilbert Series in String Theory (V Braun)Standard Models and Calabi–Yaus (R Donagi)The String Landscape and Low Energy Supersymmetry (M R Douglas)The Cardy–Cartan Modular Invariant (J Fuchs, C Schweigert and C Stigner)A Projection to the Pure Spinor Space (S Guttenberg)Mathieu Moonshine and Symmetries of K3 Sigma Models (S Hohenegger)Toric Deligne–Mumford Stacks and the Better Behaved Version of the GKZ Hypergeometric System (R P Horja)Fano Polytopes (A M Kasprzyk and B Nill)Dual Purpose Landscaping Tools: Small Extra Dimensions in AdS/CFT (J Polchinski and E Silverstein)Notes on the Relation Between Strings, Integrable Models and Gauge Theories (R C Rashkov)E11, Generalised SpaceTime and IIA String Theory: The R ⊗ R Sector (A Rocén and P West)The Kreuzer BiHomomorphism (A N Schellekens)Emergent Spacetime and Black Hole Probes from Automorphic Forms (R Schimmrigk)How to Classify Reflexive Gorenstein Cones (H Skarke)PALP — A Package for Analyzing Lattice Polytopes:PALP — A User Manual (A P Braun, J Knapp, E Scheidegger, H Skarke and NO Walliser) Readership: Graduate students and researchers in theoretical physics and mathematics. Keywords:String Theory;Gauge Theory;Algebraic Geometry;CalabiâYau Manifolds;Toric Geometry;Lattice Polytopes;BRST Symmetry;Cohomology;Anomalies;SupersymmetryKey Features:Original research articles contributed by prominent theoretical physicists and mathematicians (Victor Batyrev, Ralph Blumenhagen, Ron Donagi, Michael Douglas, Jürgen Fuchs, Alexei Morozov, Joseph Polchinski, Bert Schellekens, Christoph Schweigert, Eva Silverstein, Peter van Nieuwenhuizen, and Peter West, among others)Previously unpublished lecture notes on the classification of quantum gauge field anomalies by Friedemann Brandt and Norbert DragonA comprehensive manual and tutorial for the powerful software package PALP that was developed originally by Kreuzer and Skarke in connection with the classification of reflexive polytopes. Together with the publication of this memorial volume an overhauled version 2.1 of PALP will be released in the public domain