2020/12/31 by Nicola Gorini, Luca Griguolo, Luigi Guerrini +3 · 13 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Coupling (piping) #Function (biology) #Matrix (chemical analysis) #Matrix representation #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Representation (politics) #Topological algebra #Topological quantum number #Topology (electrical circuits) #hep-th
paper · pdf · doi:10.1007/jhep06(2021)091
published in Journal of High Energy Physics 2021(6) (Springer Nature) · 38 pages, 2 figures, 3 tables
openalex created_date 2021/01/05 · arxiv created 2021/05/31 · openalex publication_date 2021/06/01 · arxiv updated 2021/06/17 · openalex updated_date 2026/08/05
A bstract We construct the one-dimensional topological sector of N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 6 ABJ(M) theory and study its relation with the mass-deformed partition function on S 3 . 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 c T 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.