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Explore the mathematical structures that emerge when taking the Carrollian limit of three-dimensional conformal field theories in this conference talk from the QCD meets Gravity XI Conference. Discover how this limiting process generates infinite towers of two-dimensional symmetry algebras and understand the deep connections between higher-dimensional field theories and their lower-dimensional counterparts. Learn about the theoretical framework underlying Carrollian physics and its applications in understanding symmetry structures in quantum field theory. Examine the specific mathematical techniques used to derive these infinite algebraic structures and their potential implications for both condensed matter physics and high-energy theoretical physics. Gain insights into cutting-edge research at the intersection of conformal field theory, gravity, and mathematical physics through detailed analysis of symmetry algebras and their geometric interpretations.
Syllabus
Leonardo Gioia: Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT
Taught by
ICTP-SAIFR