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Bootstrapping the O(N) Archipelago | | Filip Kos
; David Poland
; David Simmons-Duffin
; Alessandro Vichi
; | | Date: |
29 Apr 2015 | | 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. | | Source: | arXiv, 1504.7997 | | Services: | Forum | Review | PDF | Favorites | |
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