Conformal Bootstrap and Heterotic String Models

This lecture by Alexander Belavin explores the intricate relationship between conformal bootstrap techniques and Heterotic string models in 4-dimensions. Delve into hybrid theories that combine left-moving Superstring compactified on N=2-SCFT minimal models (equivalent to Calabi-Yau manifold compactification) with right-moving Bosonic string compactified similarly, where the remaining 13 dimensions form the torus of E(8)×SO(10). Learn how these heterotic models achieve N=1 space-time symmetry from their left-moving part and E(6) gauge symmetry from their right-moving part—crucial elements for phenomenological applications and Grand Unified Theories. Discover how the requirement of mutual locality between various vertices and currents leads to the same theoretical framework as Gepner's modular invariance approach. Presented by internationally renowned physicist Aleksander A. Belavin, known for groundbreaking contributions including the BPST instanton, pioneering work on gauge theory coupling regimes, and the development of Belavin S-matrices for exactly solvable models in two-dimensional relativistic quantum field theory.