The Fuzzy Analog of Chiral Diffeomorphisms in higher dimensional Quantum Field Theories
Abstract
The wellknown fact that classical automorphisms of (compactified) Minkowski spacetime (Poincare or conformal trandsformations) also allow a natural derivation/interpretation in the modular setting (in the operatoralgebraic sense of Tomita and Takesaki) of the algebraic formulation of QFT has an interesting nontrivial chiral generalization to the diffeomorphisms of the circle. Combined with recent ideas on algebraic (d1)dimensional lightfront holography, these diffeomorphisms turn out to be images of ``fuzzy'' acting groups in the original ddimensional (massive) QFT. These actions do not require any spacetime noncommutativity and are in complete harmony with causality and localization principles. Their use tightens the relation with kinematic chiral structures on the causal horizon and makes recent attempts to explain the required universal structure of a possible future quantum Bekenstein law in terms of Virasoro algebra structures more palatable.
 Publication:

arXiv eprints
 Pub Date:
 June 2001
 arXiv:
 arXiv:hepth/0106064
 Bibcode:
 2001hep.th....6064F
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 parts reformulated for gain of clarity, references added, 20 pages