RECENT DEVELOPMENTS OF ALGEBRAIC METHODS IN QUANTUM FIELD THEORIES

DOI10.1142/S0217979292001006zbMath0798.53071MaRDI QIDQ4299767

Bert Schroer

Publication date: 12 July 1994

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

chiral conformal field theoriescausal netsspace-time covariance

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of differential geometry to physics (53Z05)

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GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS ⋮ A new approach to spin \& statistics ⋮ EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS ⋮ Particle physics and quantum field theory at the turn of the century: Old principles with new concepts ⋮ Modular structure and duality in conformal quantum field theory ⋮ Conformal quantum field theory and half-sided modular inclusions of von- Neumann-algebras

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