### Abstract

In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a particular abelian subalgebra of the N=superconformal algebra. This invariant is unique up to a single function of the conformal cross-ratios which is fixed by comparison with the correlation function of the lowest half-BPS scalar operators. Our analysis is independent of the dynamics of a specific theory, in particular it is valid in N=super Yang-Mills theory for any value of the coupling constant. We discuss in great detail a subclass of component correlators, which is a crucial ingredient for the recent study of charge-flow correlations in conformal field theories. We compute the latter explicitly and elucidate the origin of the interesting relations among different types of flow correlations previously observed in arXiv:1309.1424.

Original language | English (US) |
---|---|

Pages (from-to) | 176-215 |

Number of pages | 40 |

Journal | Nuclear Physics B |

Volume | 904 |

DOIs | |

State | Published - Mar 1 2016 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*904*, 176-215. https://doi.org/10.1016/j.nuclphysb.2016.01.008

**N=superconformal Ward identities for correlation functions.** / Belitsky, Andrei; Hohenegger, S.; Korchemsky, G. P.; Sokatchev, E.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 904, pp. 176-215. https://doi.org/10.1016/j.nuclphysb.2016.01.008

}

TY - JOUR

T1 - N=superconformal Ward identities for correlation functions

AU - Belitsky, Andrei

AU - Hohenegger, S.

AU - Korchemsky, G. P.

AU - Sokatchev, E.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a particular abelian subalgebra of the N=superconformal algebra. This invariant is unique up to a single function of the conformal cross-ratios which is fixed by comparison with the correlation function of the lowest half-BPS scalar operators. Our analysis is independent of the dynamics of a specific theory, in particular it is valid in N=super Yang-Mills theory for any value of the coupling constant. We discuss in great detail a subclass of component correlators, which is a crucial ingredient for the recent study of charge-flow correlations in conformal field theories. We compute the latter explicitly and elucidate the origin of the interesting relations among different types of flow correlations previously observed in arXiv:1309.1424.

AB - In this paper we study the four-point correlation function of the energy-momentum supermultiplet in theories with N=superconformal symmetry in four dimensions. We present a compact form of all component correlators as an invariant of a particular abelian subalgebra of the N=superconformal algebra. This invariant is unique up to a single function of the conformal cross-ratios which is fixed by comparison with the correlation function of the lowest half-BPS scalar operators. Our analysis is independent of the dynamics of a specific theory, in particular it is valid in N=super Yang-Mills theory for any value of the coupling constant. We discuss in great detail a subclass of component correlators, which is a crucial ingredient for the recent study of charge-flow correlations in conformal field theories. We compute the latter explicitly and elucidate the origin of the interesting relations among different types of flow correlations previously observed in arXiv:1309.1424.

UR - http://www.scopus.com/inward/record.url?scp=84957825090&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957825090&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2016.01.008

DO - 10.1016/j.nuclphysb.2016.01.008

M3 - Article

AN - SCOPUS:84957825090

VL - 904

SP - 176

EP - 215

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -