From Continuum to the Lattice in Conformal Field Theory

Explore the mathematical transition from continuous to discrete formulations in conformal field theory through this seminar lecture delivered by Professor Ingo Runkel from Universität Hamburg. Delve into the fundamental concepts that bridge continuum conformal field theory with its lattice counterparts, examining how continuous symmetries and structures translate to discrete settings. Learn about the mathematical frameworks and techniques used to establish connections between these two formulations, including the role of boundaries, impurities, and defects in quantum field theory. Gain insights into current research developments in this specialized area of theoretical physics, with particular emphasis on the mathematical rigor required to make the continuum-to-lattice transition precise. The presentation forms part of the broader program on quantum field theory with boundaries, impurities, and defects, providing essential background for understanding how conformal field theories behave when discretized on lattice structures.