Event shapes in N=4 super-Yang-Mills theory

Andrei Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, A. Zhiboedov

Research output: Contribution to journalArticle

15 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)206-256
Number of pages51
JournalNuclear Physics B
Volume884
Issue number1
DOIs
StatePublished - 2014

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Yang-Mills theory
operators
stress tensors
symmetry
convolution integrals
angular distribution
scalars
expansion
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Belitsky, A., Hohenegger, S., Korchemsky, G. P., Sokatchev, E., & Zhiboedov, A. (2014). Event shapes in N=4 super-Yang-Mills theory. Nuclear Physics B, 884(1), 206-256. https://doi.org/10.1016/j.nuclphysb.2014.04.019

Event shapes in N=4 super-Yang-Mills theory. / Belitsky, Andrei; Hohenegger, S.; Korchemsky, G. P.; Sokatchev, E.; Zhiboedov, A.

In: Nuclear Physics B, Vol. 884, No. 1, 2014, p. 206-256.

Research output: Contribution to journalArticle

Belitsky, A, Hohenegger, S, Korchemsky, GP, Sokatchev, E & Zhiboedov, A 2014, 'Event shapes in N=4 super-Yang-Mills theory', Nuclear Physics B, vol. 884, no. 1, pp. 206-256. https://doi.org/10.1016/j.nuclphysb.2014.04.019
Belitsky A, Hohenegger S, Korchemsky GP, Sokatchev E, Zhiboedov A. Event shapes in N=4 super-Yang-Mills theory. Nuclear Physics B. 2014;884(1):206-256. https://doi.org/10.1016/j.nuclphysb.2014.04.019
Belitsky, Andrei ; Hohenegger, S. ; Korchemsky, G. P. ; Sokatchev, E. ; Zhiboedov, A. / Event shapes in N=4 super-Yang-Mills theory. In: Nuclear Physics B. 2014 ; Vol. 884, No. 1. pp. 206-256.
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