Bootstrapping O(N) Vector Models with Four Supercharges in 3 ≤ d ≤4

2015/11/24 by Shai M. Chester, Chester, Shai M., Luca V. Iliesiu +5 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1511.07552

openalex publication_date 2015/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the conformal bootstrap constraints in theories with four supercharges and a global O(N) × U(1) flavor symmetry in 3 ≤ d ≤ 4 dimensions. In particular, we consider the 4-point function of O(N)-fundamental chiral operators Z_i that have no chiral primary in the O(N)-singlet sector of their OPE. We find features in our numerical bounds that nearly coincide with the theory of N+1 chiral super-fields with superpotential W = X ∑_i=1^N Z_i², as well as general bounds on SCFTs where ∑_i=1^N Z_i² vanishes in the chiral ring.

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• Exploring SU(N) adjoint correlators in 3d

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