On Correlation Functions of BPS Operators in 3d N=6 Superconformal Theories

We introduce a novel harmonic superspace for 3 d N = 6 superconformal field theories that is tailor made for the study of correlation functions of BPS operators. We calculate a host of two- and three-point functions in full generality and put strong constraints on the form of four-point functions of...

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Bibliographic Details
Published in:Communications in mathematical physics 2017-02, Vol.350 (1), p.387-419
Main Authors: Liendo, Pedro, Meneghelli, Carlo, Mitev, Vladimir
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Correlation analysis
Mathematical and Computational Physics
Mathematical Physics
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Singularity (mathematics)
Theoretical
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Summary:We introduce a novel harmonic superspace for 3 d N = 6 superconformal field theories that is tailor made for the study of correlation functions of BPS operators. We calculate a host of two- and three-point functions in full generality and put strong constraints on the form of four-point functions of some selected BPS multiplets. For the four-point function of 1 2 -BPS operators we obtain the associated Ward identities by imposing the absence of harmonic singularities. The latter imply the existence of a solvable subsector in which the correlator becomes topological. This mechanism can be explained by cohomological reduction with respect to a special nilpotent supercharge.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-016-2715-7