• Open Access

Supersymmetric warped conformal field theory

Bin Chen, Peng-Xiang Hao, and Yan-jun Liu
Phys. Rev. D 102, 065016 – Published 23 September 2020

Abstract

In this work, we study the supersymmetric warped conformal field theory in two dimensions. We show that the Hofman-Strominger theorem on symmetry enhancement could be generalized to the supersymmetric case. More precisely, we find that within a chiral superspace (x+,θ), a two-dimensional field theory with two translational invariance and a chiral scaling symmetry can have enhanced local symmetry, under the assumption that the dilation spectrum is discrete and non-negative. Similar to the pure bosonic case, there are two kinds of minimal models, one being N=(1,0) supersymmetric conformal field theories, while the other being N=1 supersymmetric warped conformal field theories (SWCFT). We study the properties of SWCFT, including the representations of the algebra, the space of states, and the correlation functions of the superprimaries.

  • Received 10 June 2020
  • Accepted 9 September 2020

DOI:https://doi.org/10.1103/PhysRevD.102.065016

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

Bin Chen1,2,3, Peng-Xiang Hao1, and Yan-jun Liu1

  • 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China
  • 2Collaborative Innovation Center of Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China
  • 3Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China

Article Text

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Issue

Vol. 102, Iss. 6 — 15 September 2020

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