Classical stability of M/sup p/qr, Q/sup p/qr, and N/sup p/qr in d = 11 supergravity

Journal Article · Mon Sep 24 00:00:00 EDT 1984 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.53.1207· OSTI ID:6171658

Yasuda, O

We investigate the classical stability of Freund-Rubin--type solutions M/sup p/qr (SU(3) x SU(2) x U(1)/SU(2) x U(1) x U(1)), Q/sup p/qr (SU(2) x SU(2) x SU(2)/U(1) x U(1)), and N/sup p/qr (SU(3) x U(1)/U(1) x U(1)) against relative dilatations between the coset directions. It is shown that M/sup p/qr is stable only for (98/243)< or =p/sup 2//q/sup 2/< or =(6358/ 4563), Q/sup p/qr is stable only for a certain region of p/sup 2//r/sup 2/ and q/sup 2//r/sup 2/, while N/sup p/qr is stable for any p/sup 2//q/sup 2/ against these small fluctuations.

• Research Organization: Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113, Japan
• OSTI ID: 6171658
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 53:13
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
SUPERGRAVITY
STABILITY
FLUCTUATIONS
LAGRANGIAN FUNCTION
MANY-DIMENSIONAL CALCULATIONS
SU-2 GROUPS
SU-3 GROUPS
U-1 GROUPS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
SU GROUPS
SYMMETRY GROUPS
U GROUPS
UNIFIED-FIELD THEORIES
VARIATIONS
657003* - Theoretical &amp; Mathematical Physics- Relativity &amp; Gravitation
645400 - High Energy Physics- Field Theory