Quantum stabilization of thermal brane-worlds in M-theory

Low-energy effective M-theory (11d supergravity or lid SUSY theory) is cons idered in 11d flat or AdS background. After orbifold compactification of el eventh dimension one gets flat 10d brane at non-zero temperature. Quantum e ffective potential (free energy at low-temperature approximation) is calcul ated on such brane with account of only lowest mass from Kaluza-Klein modes . Such effective potential may stabilize the radius of 11th dimension (radi on stabilization) as it is demonstrated explicitly. (C) 2001 Elsevier Scien ce B.V. All rights reserved.