2025/06/18 by Federico Bonetti, Bonetti, Federico, Carlo Meneghelli +1 · 2 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2506.15678
openalex publication_date 2025/06/18 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28
Using bootstrap methods, we provide evidence for the existence of a non-linear W-algebra, denoted W_∞s,s, which contains the small N= 4 super Virasoro algebra and features an infinite tower of additional generators, organized in short supersymmetry multiplets. The algebra W_∞s,s has one free parameter, its central charge c. We claim that the simple quotient of W_∞s,s for c= -3(N2-1) is isomorphic to the vertex operator algebra associated to 4d N=4 \mathfraksu(N) super Yang-Mills theory. We define a filtration in W_∞s,s and provide evidence that it reproduces the R-filtration, which is crucial to extract 4d SCFT data from the vertex operator algebra. Finally, we present explicit formulae for all the (anti)commutators of the wedge algebra of W_∞s,s.