• Open Access

Remarks on BMS3 invariant field theories: Correlation functions and nonunitary CFTs

Thiago Araujo
Phys. Rev. D 98, 026014 – Published 10 July 2018

Abstract

We use the isomorphism between the BMS3 and the W(2,2) algebras to reconsider some generic aspects of conformal field theories (CFTs) with the BMS3 algebra defined as a chiral symmetry. For unitarity theories, it is known that the extended symmetry generator acts trivially, and the resulting theory is equivalent to a CFT with a Virasoro symmetry only. For nonunitary CFTs, we define an operator depending on a nilpotent variable, and we organize the Verma module through the action of this new operator. Finally, we find the conditions imposed by the modified Ward identity.

  • Received 29 April 2018

DOI:https://doi.org/10.1103/PhysRevD.98.026014

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Thiago Araujo*

  • Asia Pacific Center for Theoretical Physics, POSTECH, Pohang 37673, Korea

  • *thiago.araujo@apctp.org

Article Text

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Issue

Vol. 98, Iss. 2 — 15 July 2018

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