Geometric modular action for disjoint intervals and boundary conformal field theory

Details Geometric modular action for disjoint intervals and boundary conformal field theory Geometric modular action for disjoint intervals and boundary conformal field theory

2009-12-06

arxiv.org/abs/0912.1106v2

Rev.Math.Phys.22:331-354,2010

Physics

Mathematical Physics

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

Scientific paper

10.1142/S0129055X10003977

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.

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