Supersymmetric backgrounds in (1 + 1) dimensions and inhomogeneous field theory

Jeongwon Ho (Center for Quantum Spacetime, Sogang University, Seoul, 04107, Republic of Korea) ; O-Kab Kwon (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Republic of Korea) ; Sang-A Park (Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Republic of Korea; Department of Physics, Yonsei University, Seoul, 03722, Republic of Korea) ; Sang-Heon Yi (Center for Quantum Spacetime, Sogang University, Seoul, 04107, Republic of Korea)

We find a (1 + 1)-dimensional metric solution for a background hosting various supersymmetric field theories with a single non-chiral real supercharge. This supersymmetric background is globally hyperbolic even though it contains a naked null singularity. In this regard, we show that scalar wave propagation on the background is well-defined and so the curvature singularity is a mild one. Taking inspiration from our previous work, we relate the field theory on this curved background to some classes of (1 + 1)-dimensional inhomogeneous field theory in the supersymmetric setup. Utilizing our supersymmetric background, we elucidate the limitations of canonical quantization and highlight the conceptual advantages of the algebraic approach to quantization.

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      "value": "We find a (1 + 1)-dimensional metric solution for a background hosting various supersymmetric field theories with a single non-chiral real supercharge. This supersymmetric background is globally hyperbolic even though it contains a naked null singularity. In this regard, we show that scalar wave propagation on the background is well-defined and so the curvature singularity is a mild one. Taking inspiration from our previous work, we relate the field theory on this curved background to some classes of (1 + 1)-dimensional inhomogeneous field theory in the supersymmetric setup. Utilizing our supersymmetric background, we elucidate the limitations of canonical quantization and highlight the conceptual advantages of the algebraic approach to quantization."
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Published on:
30 November 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 11
Pages 1-44
DOI:
https://doi.org/10.1007/JHEP11(2023)219
arXiv:
2211.05699
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: