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arXiv · 1504.07997

Bootstrapping the O(N) Archipelago

Filip Kos·David Poland·David Simmons-Duffin·Alessandro Vichi
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Abstract

We study 3d CFTs with an $O(N)$ global symmetry using the conformal bootstrap for a system of mixed correlators. Specifically, we consider all nonvanishing scalar four-point functions containing the lowest dimension $O(N)$ vector $\phi_i$ and the lowest dimension $O(N)$ singlet $s$, assumed to be the only relevant operators in their symmetry representations. The constraints of crossing symmetry and unitarity for these four-point functions force the scaling dimensions $(\Delta_\phi, \Delta_s)$ to lie inside small islands. We also make rigorous determinations of current two-point functions in the $O(2)$ and $O(3)$ models, with applications to transport in condensed matter systems.

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Filip Kos, David Poland, David Simmons-Duffin, Alessandro Vichi. 2015-04-29. Bootstrapping the O(N) Archipelago. https://doi.org/10.1007/jhep11(2015)106

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