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arXiv · 1511.07552

Bootstrapping $O(N)$ Vector Models with Four Supercharges in $3 \leq d \leq4$

Shai M. Chester·Luca V. Iliesiu·Silviu S. Pufu·Ran Yacoby
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Abstract

We analyze the conformal bootstrap constraints in theories with four supercharges and a global $O(N) \times U(1)$ flavor symmetry in $3 \leq d \leq 4$ 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 $W = X \sum_{i=1}^N Z_i^2$, as well as general bounds on SCFTs where $\sum_{i=1}^N Z_i^2$ vanishes in the chiral ring.

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Shai M. Chester, Luca V. Iliesiu, Silviu S. Pufu, Ran Yacoby. 2015-11-24. Bootstrapping $O(N)$ Vector Models with Four Supercharges in $3 \leq d \leq4$. https://arxiv.org/abs/1511.07552

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