We construct the one-dimensional topological sector of N = 6 ABJ(M) theory and study its relation with the mass-deformed partition function on S3. Supersymmetric localization provides an exact representation of this partition function as a matrix integral, which interpolates between weak and strong coupling regimes. It has been proposed that correlation functions of dimension-one topological operators should be computed through suitable derivatives with respect to the masses, but a precise proof is still lacking. We present non-trivial evidence for this relation by computing the two-point function at two-loop, successfully matching the matrix model expansion at weak coupling and finite ranks. As a by-product we obtain the two-loop explicit expression for the central charge cT of ABJ(M) theory. Three- and four-point functions up to one-loop confirm the relation as well. Our result points towards the possibility to localize the one-dimensional topological sector of ABJ(M) and may also be useful in the bootstrap program for 3d SCFTs.

Gorini, N., Griguolo, L., Guerrini, L., Penati, S., Seminara, D., Soresina, P. (2021). The topological line of ABJ(M) theory. JOURNAL OF HIGH ENERGY PHYSICS, 2021(6) [10.1007/JHEP06(2021)091].

The topological line of ABJ(M) theory

Gorini N.;Penati S.;
2021

Abstract

We construct the one-dimensional topological sector of N = 6 ABJ(M) theory and study its relation with the mass-deformed partition function on S3. Supersymmetric localization provides an exact representation of this partition function as a matrix integral, which interpolates between weak and strong coupling regimes. It has been proposed that correlation functions of dimension-one topological operators should be computed through suitable derivatives with respect to the masses, but a precise proof is still lacking. We present non-trivial evidence for this relation by computing the two-point function at two-loop, successfully matching the matrix model expansion at weak coupling and finite ranks. As a by-product we obtain the two-loop explicit expression for the central charge cT of ABJ(M) theory. Three- and four-point functions up to one-loop confirm the relation as well. Our result points towards the possibility to localize the one-dimensional topological sector of ABJ(M) and may also be useful in the bootstrap program for 3d SCFTs.
Articolo in rivista - Articolo scientifico
Chern-Simons Theories; Conformal Field Theory; Extended Supersymmetry; Matrix Models; High Energy Physics - Theory; High Energy Physics - Theory
English
15-giu-2021
2021
2021
6
91
open
Gorini, N., Griguolo, L., Guerrini, L., Penati, S., Seminara, D., Soresina, P. (2021). The topological line of ABJ(M) theory. JOURNAL OF HIGH ENERGY PHYSICS, 2021(6) [10.1007/JHEP06(2021)091].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/332302
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