CHARLA IFLYSIB Viernes 29/05 · Francisco Germán Sierra Rodero · “Kramers-Wannier duality, non-invertible symmetries and All That”

Título: Kramers-Wannier duality, non-invertible symmetries and All That

Expositor: Francisco Germán Sierra Rodero – Grupo de Física Teórica de la Materia Condensada e Información Cuántica, Instituto de Física Teórica (UAM – CSIC), Madrid, España.

Fecha: Viernes 29/05/2026 – 10:30 hs.

Resumen:

Kramers–Wannier duality is one of the central ideas in statistical mechanics, relating the high- and low-temperature phases of the Ising model and leading to the exact determination of the critical point. In recent years, it has also emerged as a prototype of a non-invertible symmetry.
In this talk we revisit the duality of the quantum Ising chain from a modern perspective, showing how the Kramers–Wannier transformation can be interpreted as a non-invertible “half-step” translation symmetry. We then connect this picture with the conformal blocks and fusion rules of the critical Ising conformal field theory, leading to a fractionalized description of the Ising Spin degrees of freedom. These ideas reveal deep links between generalized symmetries, anyons, conformal field theory and tensor-network wave functions.

Solicitar más información a charlas.iflysib@gmail.com