Supersymmetric warped conformal field theory

Bin Chen (Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China; Collaborative Innovation Center of Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China; Center for High Energy Physics, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China) ; Peng-Xiang Hao (Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China) ; Yan-jun Liu (Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, 5 Yiheyuan Rd, Beijing 100871, People’s Republic of China)

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.

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      "source": "APS", 
      "value": "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 <math><mo>(</mo><msup><mi>x</mi><mo>+</mo></msup><mo>,</mo><mi>\u03b8</mi><mo>)</mo></math>, 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 <math><mi>N</mi><mo>=</mo><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>)</mo></math> supersymmetric conformal field theories, while the other being <math><mi>N</mi><mo>=</mo><mn>1</mn></math> 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."
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Published on:
23 September 2020
Publisher:
APS
Published in:
Physical Review D , Volume 102 (2020)
Issue 6
DOI:
https://doi.org/10.1103/PhysRevD.102.065016
arXiv:
2006.04112
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

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