Superstrings and covariance in the embedding manifold
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.
- Research Organization:
- Tel Aviv Univ. (Israel). Sackler Faculty of Exact Sciences
- DOE Contract Number:
- FG05-85ER40200
- OSTI ID:
- 6912679
- Report Number(s):
- DOE/ER/40200-082; TAUP/N-179-86; ON: DE87004389
- Country of Publication:
- United States
- Language:
- English
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