Strings, Gauge Fields, and the Geometry Behind

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.

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 An Morozov); Bicategories in Field Theories - An Invitation (T Nikolaus and C Schweigert); The Compactification of Type 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 Three-Folds: Poincare Polynomials and Fractals (A Ashmore and Y-H He); Conifold Degenerations of Fano 3-Folds 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 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 Rashkov); E11, Generalised Space-Time and IIA String Theory: The RxR Sector (A Rocen and P West); The Kreuzer Bi-Homomorphism (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 Braun, J Knapp, E Scheidegger, H Skarke and N-O Walliser).