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PyCFTBoot: A Flexible Interface for the Conformal Bootstrap

Part of: Algorithms - Computer Science Quantum field theory; related classical field theories

Published online by Cambridge University Press:  03 May 2017

Connor Behan
Connor Behan*
Affiliation:
Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY 11790, USA
*
*Corresponding author. Email address:connor.behan@gmail.com (C. Behan)
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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

CFTconformal bootstrappythonsemidefinite programming

MSC classification

Secondary: 65Z05: Applications to physics 68W30: Symbolic computation and algebraic computation 81T80: Simulation and numerical modeling 90C34: Semi-infinite programming

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Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 1 , July 2017 , pp. 1 - 38
Copyright
Copyright © Global-Science Press 2017 

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