A note on four-point correlators of half-BPS operators in N = 4 $$ \mathcal{N}=4 $$ SYM

Chicherin, Dmitry; Sokatchev, E.

doi:10.1007/jhep11(2014)139

Cited by 7 publications

(9 citation statements)

References 26 publications

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“…Our two-and three-loop results are presented in the form of two tables where the values of the numerical coefficients in front of the various integrals in (2.16) are listed. Some of the two-loop results in table 1 were obtained in the past through direct Feynman graph calculations [4,9,11,14,21,22]. The three-loop result for the case G 2222 was first obtained in ref.…”

Section: Summary Of the Resultsmentioning

confidence: 95%

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All three-loop four-point correlators of half-BPS operators in planar N $$ \mathcal{N} $$ = 4 SYM

Chicherin

Drummond

Heslop

et al. 2016

J. High Energ. Phys.

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Abstract:We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity structure. This allows us to write down a general ansatz for the integrand. The coefficients in the ansatz are fixed by means of a powerful light-cone OPE relation between correlators with different weights. Our result is formulated in terms of a limited number of functions built from known one-, two-and three-loop conformal integrals. These results are useful for checking recent integrability predictions for the OPE structure constants.

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Section: Summary Of the Resultsmentioning

confidence: 95%

“…Two particular cases, the correlators O (2) O (2) O (k) O (k) and O (2) O (3) O (3) O (4) have been computed to two loops in [21] and [22], respectively. These results confirm the prediction of [15].…”

Section: Jhep08(2016)053mentioning

confidence: 99%

All three-loop four-point correlators of half-BPS operators in planar N $$ \mathcal{N} $$ = 4 SYM

Chicherin

Drummond

Heslop

et al. 2016

J. High Energ. Phys.

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“…It is also known at strong coupling via the AdS/CFT correspondence [14]. Half BPS correlators of (equal) higher charges are known at one-and two-loops [15] and at strong coupling [16] and recently some mixed charge cases were computed to two-loops [17].…”

Section: Jhep12(2015)159 1 Introductionmentioning

confidence: 99%

Superconformal partial waves in Grassmannian field theories

Doobary

Heslop

2015

J. High Energ. Phys.

123

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We derive superconformal partial waves for all scalar four-point functions on a super Grassmannian space Gr(m|n, 2m|2n) for all m, n. This family of four-point functions includes those of all (arbitrary weight) half BPS operators in both N = 4 SYM (m = n = 2) and in N = 2 superconformal field theories in four dimensions (m = 2, n = 1) on analytic superspace. It also includes four-point functions of all (arbitrary dimension) scalar fields in non-supersymmetric conformal field theories (m = 2, n = 0) on Minkowski space, as well as those of a certain class of representations of the compact SU(2n) coset spaces. As an application we then specialise to N = 4 SYM and use these results to perform a detailed superconformal partial wave analysis of the four-point functions of arbitrary weight half BPS operators. We discuss the non-trivial separation of protected and unprotected sectors for the 2222 , 2233 and 3333 cases in an SU(N ) gauge theory at finite N . The 2233 correlator predicts a non-trivial protected twist four sector for 3333 which we can completely determine using the knowledge that there is precisely one such protected twist four operator for each spin.

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“…The quantum calculations in N = 4 SYM theory with making use of the harmonic N = 2 quantum supergraph techniques are widely performed by other groups, in particular, for checking the AdS/CFT correspondence (see, e.g., [109] and references therein).…”

Section: Way Outmentioning

confidence: 99%