On Four-Point Functions of Half-BPS Operators in General Dimensions

By F. Dolan, L. Gallot, E. Sokatchev. 2004

164 citations recorded by the source corpus.

We study four-point correlation functions of ½-BPS operators of arbitrary weight for all dimensions d = 3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for these correlators and present them in a universal form. We then solve these identities, employing Jack polynomial expansions. We show that the general solution is parameterized by a set of arbitrary two-variable functions, with the exception of the case d = 4, where in addition functions of a single variable appear. We also discuss the operator product expansion using recent results on conformal partial wave amplitudes in arbitrary dimension.

Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d6b1617a853620c5eff1ab0f544519da4aecf06d

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In Applied Mathematics

In Geometry and Topology

In Statistical and Nonlinear Physics

Citations in the corpus

The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap (2014, methodology): “ibutions of operators with xed transformation properties under SU(2)Rand GF in the conformal block expansion. These functions are further constrained by superconformal Ward identities [107] (see also [108,109]). The ultimate result of these Ward identities is that the functions corresponding to dier”
Infinite Chiral Symmetry in Four Dimensions (2013, background): “The primary hint that such an embedding should be possible was already observed in [7, 10], building upon the work of [11–16].”
Exact correlators of BPS Operators from the 3d superconformal bootstrap (2014, methodology): “OPE coecients from the resulting crossing symmetry constraints. Finally, in Section 3.4 we show how some of our results can be understood directly from the 3d superconformal Ward identity derived in [62]. 16 3.1 The Q-Cohomology in N= 8 Theories In order to understand how the representatives of the ”
$$ \mathcal{N} $$ = 4 Super-Yang-Mills correlators at strong coupling from string theory and localization (2019, background): “(30)To show this relation, following [93], it is enough to consider a particular case: Consider an N = 4 SCFT with operators S′ 2, P ′, .”
All tree-level correlators in AdS5×S5 supergravity: hidden ten-dimensional conformal symmetry (2018, background): “Linear independence however fails when the x and y cross-ratios are aligned in a specific way; this leads to a Ward identity satisfied by the bosonic correlator [14, 43, 46]:”