Non-perturbative Topological String on Compact Calabi-Yau 3-folds

Watch a technical physics lecture where Dr. Albrecht Klemm from Physikalisches Institut Bonn University explores non-perturbative topological string theory on compact Calabi-Yau 3-folds. Delve into advanced techniques for solving topological string theory, with particular emphasis on recent developments in improving high genus boundary conditions through non-commutative resolutions of maximal unipotent monodromy points with Z2 torsion. Examine the relationship between modular D4-D2-D0 gauge theory indices and wall crossing formulas, connecting them to Donaldson-Thomas, Pandharipande Thomas, and Gopakumar Vafa invariants. Learn how high-order perturbative results validate and expand analytic non-perturbative findings based on resurgence techniques, including a transseries solution of the holomorphic anomaly equations. This lecture was presented as part of the Black holes: bridges between number theory and holographic quantum information event series.