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Abstract
In this work, we study the tensionless (super)string in the formalism of path-integral quantization. We introduce BMS bc and βγ 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 ð© = 2 homogeneous and inhomogeneous doublet tensionless superstrings have the same critical dimension as the usual superstrings. Taking the BMS bc and βγ 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.
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Details
1 Peking University, School of Physics and State Key Laboratory of Nuclear Physics and Technology, Beijing, P. R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319); Collaborative Innovation Center of Quantum Matter, Beijing, P. R. China (GRID:grid.495569.2); Peking University, Center for High Energy Physics, Beijing, P. R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)
2 Peking University, School of Physics and State Key Laboratory of Nuclear Physics and Technology, Beijing, P. R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)
3 Peking University, Center for High Energy Physics, Beijing, P. R. China (GRID:grid.11135.37) (ISNI:0000 0001 2256 9319)