The relation between operator and path integral covariant quantizations of the Green-Schwarz superstring

E. Nissimov; S. Pacheva; S. Solomon

doi:10.1016/0370-2693(89)90656-4

The relation between operator and path integral covariant quantizations of the Green-Schwarz superstring

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

^*Corresponding author for this work

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

16 Scopus citations

Abstract

By further study of the geometry of the harmonic superspace constraints we make the relation explicit between the operator and path integral approaches to the manifestly covariant harmonic superstring. In particular we find the correct complete set of functionally independent gauge symmetries for the auxiliary variables and identify the ones corresponding to the harmonic superfield postulate in the operator formalism. Then, we deduce in a systematic way the lagrangian path integral from the well defined covariant hamiltonian formulation of the GS superstring.

Original language	English
Pages (from-to)	181-187
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	228
Issue number	2
DOIs	https://doi.org/10.1016/0370-2693(89)90656-4
State	Published - 14 Sep 1989
Externally published	Yes

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AB - By further study of the geometry of the harmonic superspace constraints we make the relation explicit between the operator and path integral approaches to the manifestly covariant harmonic superstring. In particular we find the correct complete set of functionally independent gauge symmetries for the auxiliary variables and identify the ones corresponding to the harmonic superfield postulate in the operator formalism. Then, we deduce in a systematic way the lagrangian path integral from the well defined covariant hamiltonian formulation of the GS superstring.

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The relation between operator and path integral covariant quantizations of the Green-Schwarz superstring

Abstract

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