Local fields in boundary conformal QFT

Abstract

Conformal field theory on the half-space x>0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure of local algebras and the bi-localized charge structure of local fields. The field content and the admissible boundary conditions are characterized in terms of a non-local chiral field algebra.

58 pages, 5 figures. v2: organization of results improved; version to appear in RMP

References in corpus (3)

• Unnatural Acts: Unphysical Consequences of Imposing Boundary Conditions on Quantum Fields
• Implementation of conformal covariance by diffeomorphism symmetry
• Boundary conformal fields and Tomita--Takesaki theory

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