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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Charting the space of 3D CFTs with a continuous global symmetry

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Dymarsky, Anatoly [1, 2] ; Penedones, Joao [3] ; Trevisani, Emilio [4, 5] ; Vichi, Alessandro [3]
Total Authors: 4
[1] Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 - USA
[2] Skolkovo Innovat Ctr, Skolkovo Inst Sci & Technol, Moscow 143026 - Russia
[3] Ecole Polytech Fed Lausanne, Inst Phys, Rte Sorge, BSP 728, CH-1015 Lausanne - Switzerland
[4] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5 - Canada
[5] Univ Porto, Ctr Fis Porto, Rua Campo Alegre 687, P-4169007 Porto - Portugal
Total Affiliations: 5
Document type: Journal article
Source: Journal of High Energy Physics; n. 5 MAY 17 2019.
Web of Science Citations: 3

We study correlation functions of a conserved spin-1 current J in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point functions and the four point function JJJJ(sigma) and identify the minimal set of independent crossing symmetry conditions. We obtain a recurrence relation for conformal blocks for generic spin-1 operators in three dimensions. In the process, we improve several technical points, facilitating the use of recurrence relations. By applying the machinery of the numerical conformal bootstrap we obtain universal bounds on the dimensions of certain light operators as well as the central charge. Highlights of our results include numerical evidence for the conformal collider bound and new constraints on the parameters of the critical O(2) model. The results obtained in this work apply to any unitary, three dimensional CFT. (AU)

FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants