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Path-integral quantization of tensionless (super) string

delete2023-08-21
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OA
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B
Bin Chen *
Z
Zezhou Hu
Z
Zhe-fei Yu
Y
Yufan Zheng
DOI:10.1007/JHEP08(2023)133delete
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Abstract

Abstract

En 中文
In this work, we study the tensionless (super)string in the formalism of path-integral quantization. We introduce BMS bc and & beta;& gamma; ghosts intrinsically by accounting for the Faddeev-Popov determinants appeared in fixing the gauges. We then do canonical quantization and obtain the critical dimensions for different tensionless strings. We find that among four kinds of tensionless superstrings, the MATHEMATICAL SCRIPT CAPITAL N � = 2 homogeneous and inhomogeneous doublet tensionless superstrings have the same critical dimension as the usual superstrings. Taking the BMS bc and & beta;& gamma; ghosts as new types of BMS free field theories, we find that their enhanced underlying symmetries are generated by BMS-Kac-Moody algebras, with the Kac-Moody subalgebras being built from a three-dimensional non-abelian and non-semi-simple Lie algebra.
Keywords:
Bosonic Strings
Conformal and W Symmetry
Space-Time Symmetries
Superstrings and Heterotic Strings

Journal

Journal of High Energy Physics cover
Journal of High Energy Physics
IF:
5.5
Papers:
3.9W
Citations:
13.7W

Organization

P
peking university
Scholars:
11.8W
Papers: 8.7W
Citations: 146