000			01962 a2200241 4500
008			241017b2024 |||||||| |||| 00| 0 eng d
020			_a9781470456184 (PB)
041			_aeng
080			_bGAB _a531.19
100			_aGabriel, Franck
245			_aLattice Models and Conformal Field Theory
260			_bAmerican Mathematical Society _c2024 _aProvidence, Rhode Island
300			_ax, 206p.
490			_aCourant lecture notes, 1529-9031 _v32
504			_aIncludes Bibliography (197-202) and Index
520			_aThis 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
650			_aConformal Field Theory _aStatistical Mechanics
650			_alattice Models
690			_aPhysics
700			_aHongler, Clément
700			_aSpadaro, Francesco
942			_cBK
999			_c60630 _d60630