A CFT Factory - Engineering Critical Lattice Models from Competing Anyon Condensations

Explore a comprehensive conference talk that demonstrates how to engineer critical lattice models through competing anyon condensations, presented as part of a systematic approach to constructing conformal field theories. Delve into advanced theoretical physics concepts as the speaker outlines methods for creating lattice models that exhibit critical behavior by leveraging the competition between different anyon condensation processes. Learn about the mathematical frameworks and physical principles underlying this "CFT factory" approach, which provides a structured methodology for generating conformal field theories from lattice-based systems. Examine the interplay between topological phases, quantum phase transitions, and conformal invariance as the presentation covers both theoretical foundations and practical applications of these techniques. Gain insights into how anyon condensation mechanisms can be systematically employed to design lattice models with desired critical properties, offering new perspectives on the relationship between discrete lattice systems and continuous field theories.