Abstract
An analysis of the space-time content of the Liouville-type field theories (LFT) is presented. The origin and significance of D=2, D=26 and, respectively, D=10 are rigorously explained and connections between LFT, octonionic algebra and N=8 D=4 supergravity are derived. As byproducts, new approaches to (justification of) internal symmetries and, respectively, implementation of the Kaluza-Klein idea (i.e., ‘physics from higher dimensions’) are suggested.
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PolyakovA.M., Phys. Lett. 103B, 207 (1981).
PolyakovA.M., Phys. Lett. 103B, 211 (1981).
D'HokerE. and JackiwR., Phys. Rev. D26, 3517 (1982). Here one can find a sample of early references on this topic.
Tataru-MihaiP., Nuovo Cimento 72A, 80 (1982). Here nearly all relevant references on the bosonic LFT can be found. See also Ref. [5].
MarneliusR., Nucl. Phys. B211, 14 (1983).
DiVecchiaP., DurhuusB., OlesenP., and PetersenJ.L., Nucl. Phys. B207, 176 (1982) and N. Bohr Inst. Report NBI-HE-82-45.
ArvisJ.F., Nucl. Phys. B212, 151 (1983) and ENS-Paris Report LPTENS-82/32 (to be published).
See, e.g., PommerenkeCh., Univalent Functions, Vandenhoeck & Ruprecht, Göttingen, 1975.
FlandersH., J. Diff. Geom. 5, 515 (1979).
For a justification of the relation (5) see Tataru-Mihai, P., Nuovo Cimento A (to be published). The appearance of division algebras F has been suggested by Cartan [11].
CartanE., Math. Zeit. 45, 335 (1939).
HsiangW. Y., and LawsonH.B., J. Diff. Geometry 5, 1 (1971).
HusemollerD., Fiber Bundles 2nd edn., Springer, New York, 1975.
See, e.g., Duff, M., Shanghai Lectures, CERN-TH-3451 (1982) and original references therein.
Kaluza, Th. Sitz. Bericht. Preuss. Akad. Wiss. Math. Phys. Kl. 966 (1921). Klein, O., Zeit. Phys. 37, 895 (1926).
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Tataru-Mihai, P. On the space-time content of Liouville-type theories. Lett Math Phys 7, 415–420 (1983). https://doi.org/10.1007/BF00398763
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DOI: https://doi.org/10.1007/BF00398763