Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-09-05
Physics
High Energy Physics
High Energy Physics - Theory
Dedicated to Professor Ivan Todorov on the occasion of his 75th anniversary. 16 pages, 4 figures
Scientific paper
An exact correspondence is pointed out between conformal field theories in D dimensions and dual resonance models in D' dimensions, where D' may differ from D. Dual resonance models, pioneered by Veneziano, were forerunners of string theory. The analog of scattering amplitudes are called Mellin amplitudes; they depend on complex variables which substitute for the Mandelstam variables on which scattering amplitudes depend. The Mellin amplitudes satisfy exact duality - i.e. meromorphy with simple poles in single variables, and crossing symmetry - and an appropriate form of factorization which is implied by operator product expansions (OPE). Duality is a D-independent property. The positions of the leading poles are given by the dimensions of fields in the OPE; their residues depend on D and determine satellites. Dimensional reduction and induction D goes to D-1 and D+1 are discussed. Dimensional reduction leads to the appearence of Anti de Sitter space.
No associations
LandOfFree
D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-161234