Covariant canonical quantization of the green-schwarz superstring

E. Nissimov; S. Pacheva; S. Solomon

doi:10.1016/0550-3213(88)90024-7

Covariant canonical quantization of the green-schwarz superstring

E. Nissimov^*, S. Pacheva, S. Solomon

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

86 Scopus citations

Abstract

Introducing a new type of D = 10 harmonic superspace with two generations of harmonic coordinates, we reduce the Green-Schwarz (GS) superstring to a system whose constraints are Lorentz covariant and functionally independent. These features allow us to impose Lorentz-covariant gauge fixing conditions for the reparametrization and the fermionic κ-invariances. The resulting Q_BRST corresponds to the finite-dimensional Lie algebra of the remaining purely harmonic constraints. The super-Poincaré symmetry acts in a manifestly Lorentz-covariant form and is apparently anomaly free.

Original language	English
Pages (from-to)	349-373
Number of pages	25
Journal	Nuclear Physics B
Volume	297
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(88)90024-7
State	Published - 8 Feb 1988
Externally published	Yes

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AB - Introducing a new type of D = 10 harmonic superspace with two generations of harmonic coordinates, we reduce the Green-Schwarz (GS) superstring to a system whose constraints are Lorentz covariant and functionally independent. These features allow us to impose Lorentz-covariant gauge fixing conditions for the reparametrization and the fermionic κ-invariances. The resulting QBRST corresponds to the finite-dimensional Lie algebra of the remaining purely harmonic constraints. The super-Poincaré symmetry acts in a manifestly Lorentz-covariant form and is apparently anomaly free.

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Covariant canonical quantization of the green-schwarz superstring

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