The Geometer's Toolkit to String Compactifications

Abstract

These lecture notes are meant to serve as an introduction to some geometric constructions and techniques (in particular the ones of toric geometry) often employed by the physicist working on string theory compactifications. The emphasis is wholly on the geometry side, not on the physics. The treated topics include toroidal orbifolds, methods of toric geometry, desinglularization of toroidal orbifolds and their orientifold quotients.

Lecture notes based on lectures given at the Workshop on String and M-Theory Approaches to Particle Physics and Astronomy, Galileo Galilei Institute for Theoretical Physics, Arcetri (Firenze). 52 pages

References in corpus (6)

• String Theory on Calabi-Yau Manifolds
• Chern-Simons Theory and Topological Strings
• Complete structure of Z_n Yukawa couplings
• The effective action of type II Calabi-Yau orientifolds
• On Type IIB Vacua With Varying Coupling Constant
• Comment on the Generation Number in Orbifold Compactifications

Cited by in corpus (8)

• On Slow-roll Moduli Inflation in Massive IIA Supergravity with Metric Fluxes
• Cohomology of Line Bundles: A Computational Algorithm
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Non-supersymmetric heterotic model building
• D-Terms from Generalized NS-NS Fluxes in Type II
• Toric Resolutions of Heterotic Orbifolds
• Grand Unification in the Heterotic Brane World
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds