PyCFTBoot: A Flexible Interface for the Conformal Bootstrap. (3rd May 2017)

• Record Type: Journal Article
• Authors: Behan, Connor
• Is Part Of: Communications in computational physics. Volume 22:Number 1(2017:Jul.)
• Page Start: 1
• Page End: 38
• Publication Date: 2017-05-03
• Subjects: 65Z05, -- 68W30, -- 81T80, -- 90C34; CFT, -- conformal bootstrap, -- python, -- semidefinite programming; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0107
• Languages: English
• ISSNs: 1815-2406

Abstract

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.