D-dimensional Conformal Field Theories with anomalous dimensions as Dual Resonance Models - High Energy Physics - TheoryReportar como inadecuado




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Abstract: An exact correspondence is pointed out between conformal field theories in Ddimensions and dual resonance models in D- dimensions, where D- may differ fromD. Dual resonance models, pioneered by Veneziano, were forerunners of stringtheory. The analog of scattering amplitudes are called Mellin amplitudes; theydepend on complex variables which substitute for the Mandelstam variables onwhich 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 productexpansions OPE. Duality is a D-independent property. The positions of theleading poles are given by the dimensions of fields in the OPE; their residuesdepend on D and determine satellites. Dimensional reduction and induction Dgoes to D-1 and D+1 are discussed. Dimensional reduction leads to theappearence of Anti de Sitter space.



Autor: Gerhard Mack

Fuente: https://arxiv.org/







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