3D CFT archipelago from single correlator bootstrap

Journal Article · 01 October 2019 · Physics Letters B

DOI: https://doi.org/10.1016/j.physletb.2019.134920 · OSTI ID:1562779

Li, Zhijin ^[1]; Su, Ning ^[2]

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1. Texas A & M Univ., College Station, TX (United States). George P. and Cynthia W. Mitchell Inst. for Fundamental Physics and Astronomy
2. Chinese Academy of Sciences (CAS), Beijing (China). Inst. for Theoretical Physics. CAS Key Lab. of Theoretical Physics

We show that the scaling dimensions of lowest operators in conformal field theories (CFTs) can be isolated in small and closed regions from single correlator bootstrap. We find the conserved currents play crucial roles in bootstrapping the crossing equation. By imposing a mild gap between the scaling dimensions of the conserved current and its next operator, the scaling dimensions of lowest operators are forced to lie in small isolated regions, i.e., these CFTs can be almost fixed by few lowest operators in certain channels. For CFTs with extended supersymmetry, the single correlator crossing equation involves several conserved or shortened operators and by imposing gaps in these sectors it is possible to isolate different CFTs. Specifically, we bootstrap the isolated regions corresponding to the 3D Ising model, O(N)vector model, N=1, 2 supersymmetric Ising models by introducing mild gaps in certain sectors with conserved or shortened operators.

• Research Organization: Texas A & M Univ., College Station, TX (United States)
• Sponsoring Organization: USDOE Office of Science (SC); USDOE
• Grant/Contract Number: SC0010813
• OSTI ID: 1562779
• Alternate ID(s): OSTI ID: 1802168
• Journal Information: Physics Letters B, Vol. 797, Issue C; ISSN 0370-2693
• Publisher: ElsevierCopyright Statement
• Country of Publication: United States
• Language: English