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Bootstrapping O(N) vector models with four supercharges in 3 <= d <= 4

Author(s): Chester, Shai M; Iliesiu, Luca V; Pufu, Silviu S; Yacoby, Ran

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Abstract: We analyze the conformal bootstrap constraints in theories with four supercharges and a global O(N) x 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 Sigma(N)(i=1) Z(i)(2), as well as general bounds on SCFTs where Sigma(N)(i=1) Z(i)(2) vanishes in the chiral ring.
Publication Date: May-2016
Electronic Publication Date: 17-May-2016
Citation: Chester, Shai M, Iliesiu, Luca V, Pufu, Silviu S, Yacoby, Ran. (2016). Bootstrapping O(N) vector models with four supercharges in 3 <= d <= 4. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP05(2016)103
DOI: doi:10.1007/JHEP05(2016)103
ISSN: 1029-8479
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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