TY  - GEN
AU  - Gabriel, Franck 
AU  - Hongler, Clément
AU  - Spadaro, Francesco
TI  - Lattice Models and Conformal Field Theory
T2  - Courant lecture notes, 1529-9031
SN  - 9781470456184 (PB)
PY  - 2024///
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Conformal Field Theory
KW  - Statistical Mechanics
KW  - lattice Models
N1  - Includes Bibliography (197-202) and Index
N2  - This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs.Structured in two parts, the book begins by exploring several two-dimensional lattice models, their phase transitions, and their conjectural connection with CFT. Through these lattice models and their local fields, the fundamental ideas and results of two-dimensional CFTs emerge, with a special emphasis on the Unitary Minimal Models of CFT. Delving into the delicate ideas that lead to the classification of these CFTs, the authors discuss the assumptions on the lattice models whose scaling limits are described by CFTs. This produces a probabilistic rather than an axiomatic or algebraic definition of CFTs.Suitable for graduate students and researchers in mathematics and physics, Lattice Models and Conformal Field Theory introduces the ideas at the core of Statistical Field Theory. Assuming only undergraduate probability and complex analysis, the authors carefully motivate every argument and assumption made. Concrete examples and exercises allow readers to check their progress throughout
ER  -