4.4 Article

A light-cone approach to three-point functions in AdS5 x S5

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP04(2012)080

Keywords

AdS-CFT Correspondence; Penrose limit and pp-wave background; Integrable Field Theories

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We consider worldsheet correlation functions for strings in AdS(5) x S-5 using a light-cone gauge for the worldsheet theory. We compute the saddle-point approximation to three-point functions of BMN vertex operators, all with large charges, by explicitly finding the intersection of three euclidean BMN strings. We repeat this calculation for non-BPS circular winding strings extended along a great circle of the S5, though in this case the appropriate form of the vertex operator is uncertain. Furthermore, we compute the spectrum of fluctuations about euclidean BMN strings for generic boundary conditions, and show that the spectrum depends only on the total charge and not the details of the string configuration. We extend our considerations to include near-BMN vertex operators and through the evaluation of the string path integral make contact with the light-cone string field theory calculations of gauge theory three-point structure constants.

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