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Published February 2023 | Published
Journal Article Open

The Gross-Neveu-Yukawa archipelago

Abstract

We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.

Additional Information

© 2023 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development. We thank Meng Cheng, Simone Giombi, John Gracey, Yin-Chen He, Filip Kos, Igor Klebanov, Yakov Landau, Walter Landry, Zhijin Li, Marco Meineri, Max Metlitski, Matthew Mitchell, Silviu Pufu, Slava Rychkov, Michael Scherer, Ning Su, and Yuan Xin for discussions. DSD and AL were supported by Simons Foundation grant 488657 (Simons Collaboration on the Nonperturbative Bootstrap) and by a DOE Early Career Award under grant DESC0019085. DP and RSE were supported by Simons Foundation grant 488651 (Simons Collaboration on the Nonperturbative Bootstrap) and DOE grant DE-SC0017660. LVI was supported in part by the Simons Collaboration on Ultra-Quantum Matter, a Simons Foundation Grant with No. 651440. PK was supported by DOE grant DESC0009988 and the Adler Family Fund at the Institute for Advanced Study. This work used the Extreme Science and Engineering Discovery Environment (XSEDE) Expanse Cluster at the San Diego Supercomputing Center (SDSC) through allocation PHY-190023, which is supported by National Science Foundation grant number ACI-1548562. Computations in this work were also performed on the Caltech High Performance Cluster, partially supported by a grant from the Gordon and Betty Moore Foundation, on the Yale Grace computing cluster, supported by the facilities and staff of the Yale University Faculty of Sciences High Performance Computing Center, and on the Institute for Advanced Study Helios cluster. This work was performed in part at the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607611.

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Published - JHEP02_2023_036.pdf

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Additional details

Created:
August 22, 2023
Modified:
October 23, 2023