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TASI Lectures on the Conformal Bootstrap

Simmons-Duffin, David (2016) TASI Lectures on the Conformal Bootstrap. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20170817-083513247

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Abstract

These notes are from courses given at TASI and the Advanced Strings School in summer 2015. Starting from principles of quantum field theory and the assumption of a traceless stress tensor, we develop the basics of conformal field theory, including conformal Ward identities, radial quantization, reflection positivity, the operator product expansion, and conformal blocks. We end with an introduction to numerical bootstrap methods, focusing on the 2d and 3d Ising models.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1602.07982arXivDiscussion paper
ORCID:
AuthorORCID
Simmons-Duffin, David0000-0002-2937-9515
Additional Information:Submitted on 25 Feb 2016 I am grateful to Joe Polchinski and Pedro Vieira for inviting me to give this course, and Tom DeGrand, Oliver DeWolfe, and Sherry Namburi for helping make TASI such a fun experience. I am also grateful to Justin David, Chethan Krishnan and Gautam Mandal for organizing the Advanced Strings School at ICTS, Bangalore. A special thanks to the spectacular students at TASI and the Strings School, who asked so many good questions. Thanks to Chris Beem, Joanna Huey, Filip Kos, Petr Kravchuk, David Poland, and Slava Rychkov for comments. Thanks to Sheer El-Showk, João Penedones, and Pedro Vieira for the nice example in section 10.5. I am supported by DOE grant number DE-SC0009988 and a William D. Loughlin Membership at the Institute for Advanced Study.
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Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0009988
Record Number:CaltechAUTHORS:20170817-083513247
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170817-083513247
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80551
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:17 Aug 2017 19:48
Last Modified:27 Oct 2017 19:52

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