### 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 language | English (US) |
---|---|

Pages (from-to) | 206-256 |

Number of pages | 51 |

Journal | Nuclear Physics B |

Volume | 884 |

Issue number | 1 |

DOIs | |

State | Published - 2014 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 884, no. 1, pp. 206-256. https://doi.org/10.1016/j.nuclphysb.2014.04.019

}

TY - JOUR

T1 - Event shapes in N=4 super-Yang-Mills theory

AU - Belitsky, Andrei

AU - Hohenegger, S.

AU - Korchemsky, G. P.

AU - Sokatchev, E.

AU - Zhiboedov, A.

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84901470372&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901470372&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2014.04.019

DO - 10.1016/j.nuclphysb.2014.04.019

M3 - Article

AN - SCOPUS:84901470372

VL - 884

SP - 206

EP - 256

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1

ER -