Lorentz invariance of the pure spinor BRST cohomology for the superstring. (English) Zbl 0971.81127
Summary: In a previous letter [J. N. Acosta and the authors, ibid. 454, 247-248 (1999; Zbl 0971.81101)] the BRST cohomology in the pure spinor formalism of the superstring was shown to coincide with the light-cone Green-Schwarz spectrum by using an SO(8) parameterization of the pure spinor. In this letter, the \(\text{SO}(9,1)\) Lorentz generators are explicitly constructed using this SO(8) parameterization, proving the Lorentz invariance of the pure spinor BRST cohomology.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T70 | Quantization in field theory; cohomological methods |
Citations:
Zbl 0971.81101References:
| [1] | Berkovits, N., Super-Poincaré covariant quantization of the superstring, JHEP, 04, 018 (2000) · Zbl 0959.81065 |
| [2] | Berkovits, N., Cohomology in the pure spinor formalism for the superstring, JHEP, 09, 046 (2000) · Zbl 0989.81587 |
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