A light-cone approach to three-point functions in \(\mathrm{AdS}_5\times S^5\)
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Publication:339076
DOI10.1007/JHEP04(2012)080zbMATH Open1348.81376arXiv1106.0495MaRDI QIDQ339076
Author name not available (Why is that?)
Publication date: 7 November 2016
Published in: (Search for Journal in Brave)
Abstract: 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 S^5, 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.
Full work available at URL: https://arxiv.org/abs/1106.0495
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