Mock Modularity of Calabi-Yau Threefolds - ICBS 2024
Offered By: BIMSA via YouTube
Course Description
Overview
Explore the modular properties of generating functions for rank 0 Donaldson-Thomas invariants in this 1-hour 5-minute conference talk. Delve into the physical origin of these properties and their connection to D4-D2-D0 BPS indices in Calabi-Yau compactifications of string theory. Learn how these properties can be utilized to determine generating functions up to a finite number of coefficients, known as polar terms, which can be fixed through wall-crossing. Examine the implementation of this program for compact one-parameter Calabi-Yau threefolds with 2 units of D4-brane charge, resulting in explicit mock modular forms that encode BPS indices. Discover a general solution to modular anomaly equations using indefinite theta series for higher charges, where polar terms remain challenging to access.
Syllabus
Sergey Alexandrov: Mock modularity of Calabi-Yau threefolds #ICBS2024
Taught by
BIMSA
Related Courses
Baryons, Determinants and Integrability at Large N - Lecture 1International Centre for Theoretical Sciences via YouTube Modular Properties of Brane Scattering from Integrated Correlators
Galileo Galilei Institute via YouTube Bootstrapping F-Theory
Galileo Galilei Institute via YouTube Superstring Theory - Lecture 8
Galileo Galilei Institute via YouTube Black Holes in Supergravity vs. D-branes - Introductory Minicourse on AdS-CFT
ICTP-SAIFR via YouTube