Classical Stability of Mpqr, Qpqr, and Npqr in d=11 Supergravity

Details Classical Stability of Mpqr, Qpqr, and Npqr in d=11 Supergravity Classical Stability of Mpqr, Qpqr, and Npqr in d=11 Supergravity

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984phrvl..53.1207y&link_type=abstract

Physical Review Letters, Volume 53, Issue 13, September 24, 1984, pp.1207-1211

Physics

10

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Supersymmetry

Scientific paper

We investigate the classical stability of Freund-Rubin-type solutions Mpqr [SU(3)⊗SU(2)⊗U(1)SU(2)⊗U(1)⊗U(1)], Qpqr [SU(2)⊗SU(2)⊗SU(2)U(1)⊗U(1)], and Npqr [SU(3)⊗U(1)U(1)⊗U(1)] against relative dilatations between the coset directions. It is shown that Mpqr is stable only for 98243<=p2q2<=63584563, Qpqr is stable only for a certain region of p2r2 and q2r2, while Npqr is stable for any p2q2 against these small fluctuations.

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