Geometric modular action for disjoint intervals and boundary conformal field theory

Abstract

In suitable states, the modular group of local algebras associated with unions of disjoint intervals in chiral conformal quantum field theory acts geometrically. We translate this result into the setting of boundary conformal QFT and interpret it as a relation between temperature and acceleration. We also discuss aspects ("mixing" and "charge splitting") of geometric modular action for unions of disjoint intervals in the vacuum state.

Dedicated to John E. Roberts on the occasion of his 70th birthday; 24 pages, 3 figures

References in corpus (4)

• Local fields in boundary conformal QFT
• Noncommutative Spectral Invariants and Black Hole Entropy
• How to remove the boundary in CFT - an operator algebraic procedure
• On the Generator of Massive Modular Groups

Cited by in corpus (30)

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