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Title: Superstrings and covariance in the embedding manifold

Abstract

The superstring R/sup 2/ world-sheet (coordinate zeta) is plunged into a generic curved 10-dimensional manifold through the replacement of the Lorentz vector and spinor frames X/sup m/(zeta), theta/sup a/(zeta) by infinite frames X/sup M-tilde/(zeta,chi), theta/sup A-tilde/(zeta,chi) supporting irreducible representations of the double-covering anti GL(10,R) and diffeomorphisms. These frames are further embedded in an irreducible representation of anti GQ(10,R), a supergroup containing the stability subgroups of flat-space supersymmetry. Most plausibly, supersymmetry is preserved in the curvilinear situation and off-mass-shell, thereby guaranteeing the preservation of the critical dimensionality and the absence of the tachyon. It is possible that the infinite frames act as a condensed spectrum generating algebra for the flat-case spectrum, reproducing the entire Fock space through a simple application of the infinite set of oscillators (infinite in the upper index in ..cap alpha../sub -nu//sup M/ as against the finite range of m in the conventional ..cap alpha../sub -nu//sup m/). In that case, general covariance would be realized linearly in the conventional superstring spectrum, in contradistinction to the usual particle physics Hilbert space picture.

Authors:
Publication Date:
Research Org.:
Tel Aviv Univ. (Israel). Sackler Faculty of Exact Sciences
OSTI Identifier:
6912679
Report Number(s):
DOE/ER/40200-082; TAUP/N-179-86
ON: DE87004389
DOE Contract Number:  
FG05-85ER40200
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; STRING MODELS; SUPERSYMMETRY; IRREDUCIBLE REPRESENTATIONS; MATHEMATICAL MANIFOLDS; SPINORS; COMPOSITE MODELS; EXTENDED PARTICLE MODEL; MATHEMATICAL MODELS; PARTICLE MODELS; QUARK MODEL; SYMMETRY; 645400* - High Energy Physics- Field Theory

Citation Formats

Ne'eman, Y. Superstrings and covariance in the embedding manifold. United States: N. p., 1986. Web.
Ne'eman, Y. Superstrings and covariance in the embedding manifold. United States.
Ne'eman, Y. 1986. "Superstrings and covariance in the embedding manifold". United States.
@article{osti_6912679,
title = {Superstrings and covariance in the embedding manifold},
author = {Ne'eman, Y},
abstractNote = {The superstring R/sup 2/ world-sheet (coordinate zeta) is plunged into a generic curved 10-dimensional manifold through the replacement of the Lorentz vector and spinor frames X/sup m/(zeta), theta/sup a/(zeta) by infinite frames X/sup M-tilde/(zeta,chi), theta/sup A-tilde/(zeta,chi) supporting irreducible representations of the double-covering anti GL(10,R) and diffeomorphisms. These frames are further embedded in an irreducible representation of anti GQ(10,R), a supergroup containing the stability subgroups of flat-space supersymmetry. Most plausibly, supersymmetry is preserved in the curvilinear situation and off-mass-shell, thereby guaranteeing the preservation of the critical dimensionality and the absence of the tachyon. It is possible that the infinite frames act as a condensed spectrum generating algebra for the flat-case spectrum, reproducing the entire Fock space through a simple application of the infinite set of oscillators (infinite in the upper index in ..cap alpha../sub -nu//sup M/ as against the finite range of m in the conventional ..cap alpha../sub -nu//sup m/). In that case, general covariance would be realized linearly in the conventional superstring spectrum, in contradistinction to the usual particle physics Hilbert space picture.},
doi = {},
url = {https://www.osti.gov/biblio/6912679}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed Jan 01 00:00:00 EST 1986},
month = {Wed Jan 01 00:00:00 EST 1986}
}

Technical Report:
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