Event shapes in \(\mathcal{N} = 4\) super-Yang-Mills theory
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Publication:748624
DOI10.1016/J.NUCLPHYSB.2014.04.019zbMATH Open1323.81056arXiv1309.1424OpenAlexW2137957486MaRDI QIDQ748624
Author name not available (Why is that?)
Publication date: 29 October 2015
Published in: (Search for Journal in Brave)
Abstract: We study event shapes in N=4 SYM describing the angular distribution of energy and R-charge in the final states created by the simplest half-BPS scalar operator. Applying the approach developed in the companion paper arXiv:1309.0769, we compute these observables using the correlation functions of certain components of the N=4 stress-tensor supermultiplet: the half-BPS operator itself, the R-symmetry current and the stress tensor. We present master formulas for the all-order event shapes as convolutions of the Mellin amplitude defining the correlation function of the half-BPS operators, with a coupling-independent kernel determined by the choice of the observable. We find remarkably simple relations between various event shapes following from N=4 superconformal symmetry. We perform thorough checks at leading order in the weak coupling expansion and show perfect agreement with the conventional calculations based on amplitude techniques. We extend our results to strong coupling using the correlation function of half-BPS operators obtained from the AdS/CFT correspondence.
Full work available at URL: https://arxiv.org/abs/1309.1424
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