Published November 21, 2024 | Published
Journal Article

New developments in the numerical conformal bootstrap

  • 1. ROR icon Institut des Hautes Études Scientifiques
  • 2. ROR icon University of Pisa
  • 3. ROR icon California Institute of Technology
  • 4. ROR icon Massachusetts Institute of Technology
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Abstract

Over the past 15 years, the numerical conformal bootstrap has become an indispensable tool for studying strongly coupled conformal field theories in various dimensions. Reviewed here are the main developments in the field in the five years since the publication of the previous comprehensive review [D. Poland, S. Rychkov, and A. Vichi, Rev. Mod. Phys. 91, 015002 (2019)]. Developments in the software (SDPB 2.0scalar_blocksblocks_3dautoboothyperion, and simpleboot) and on the algorithmic side (Delaunay triangulation, cutting surface, tiptop, navigator function, and skydive) are described. Also chronicled are the main physics applications that have been obtained using new technologies.

Copyright and License

© 2024 American Physical Society.

Acknowledgement

We thank the numerical conformal bootstrap community for the collective effort that led to the development of the ideas and results presented in this review. We are particularly grateful to our collaborators Shai Chester, Yin-Chen He, Aike Liu, Junyu Liu, Walter Landry, David Poland, Junchen Rong, Marten Reehorst, David Simmons-Duffin, Benoit Sirois, Balt van Rees, and Alessandro Vichi. We thank David Simmons-Duffin for communications about the tiptop algorithm, and Johan Henriksson and Stefanos Kousvos for discussions and comments. S. R. is supported by Simons Foundation Grant No. 733758 (Simons Collaboration on the Nonperturbative Bootstrap). Most of N. S.’s work was conducted at the University of Pisa, where this project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 758903). N. S.’s work at the California Institute of Technology is supported in part by Simons Foundation Grant No. 488657 (Simons Collaboration on the Nonperturbative Bootstrap).

Funding

S. R. is supported by Simons Foundation Grant No. 733758 (Simons Collaboration on the Nonperturbative Bootstrap). Most of N. S.’s work was conducted at the University of Pisa, where this project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (Grant Agreement No. 758903). N. S.’s work at the California Institute of Technology is supported in part by Simons Foundation Grant No. 488657 (Simons Collaboration on the Nonperturbative Bootstrap).

Additional details

Created:
November 22, 2024
Modified:
November 22, 2024