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Volume 22, Issue 1
PyCFTBoot: A Flexible Interface for the Conformal Bootstrap

Connor Behan

DOI: 10.4208/cicp.OA-2016-0107

Commun. Comput. Phys., 22 (2017), pp. 1-38.

Published online: 2019-10

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  • Abstract

We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps respectively. After reviewing the built-in algorithms for conformal blocks, we explain how to use the code through a number of examples that verify past results. As an application, we show that the multi-correlator bootstrap still appears to single out the Wilson-Fisher fixed points as special theories in dimensions between 3 and 4 despite the recent proof that they violate unitarity.

  • Keywords

CFT, conformal bootstrap, python, semidefinite programming.

  • AMS Subject Headings

65Z05, 68W30, 81T80, 90C34

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

connor.behan@gmail.com (Connor Behan)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-22-1, author = {Behan , Connor}, title = {PyCFTBoot: A Flexible Interface for the Conformal Bootstrap}, journal = {Communications in Computational Physics}, year = {2019}, volume = {22}, number = {1}, pages = {1--38}, abstract = {

We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps respectively. After reviewing the built-in algorithms for conformal blocks, we explain how to use the code through a number of examples that verify past results. As an application, we show that the multi-correlator bootstrap still appears to single out the Wilson-Fisher fixed points as special theories in dimensions between 3 and 4 despite the recent proof that they violate unitarity.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0107}, url = {http://global-sci.org/intro/article_detail/cicp/13345.html} }
TY - JOUR T1 - PyCFTBoot: A Flexible Interface for the Conformal Bootstrap AU - Behan , Connor JO - Communications in Computational Physics VL - 1 SP - 1 EP - 38 PY - 2019 DA - 2019/10 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2016-0107 UR - https://global-sci.org/intro/article_detail/cicp/13345.html KW - CFT, conformal bootstrap, python, semidefinite programming. AB -

We introduce PyCFTBoot, a wrapper designed to reduce the barrier to entry in conformal bootstrap calculations that require semidefinite programming. Symengine and SDPB are used for the most intensive symbolic and numerical steps respectively. After reviewing the built-in algorithms for conformal blocks, we explain how to use the code through a number of examples that verify past results. As an application, we show that the multi-correlator bootstrap still appears to single out the Wilson-Fisher fixed points as special theories in dimensions between 3 and 4 despite the recent proof that they violate unitarity.

Behan , Connor. (2019). PyCFTBoot: A Flexible Interface for the Conformal Bootstrap. Communications in Computational Physics. 22 (1). 1-38. doi:10.4208/cicp.OA-2016-0107
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