Vacuum Energies of String Compactified on Torus

Autor: Sakai, Norisuke, Senda, Ikuo
Zdroj: Progress of Theoretical Physics: PTP; March 1986, Vol. 75 Issue: 3 p692-692, 1p
Abstrakt: Computation of the one-loop vacuum energy is attempted for closed bosonic string compactified on various tori. Modular invariance of the one-loop vacuum energy is shown. The divergent tachyon contribution forces us to employ a subtraction prescription. For one-dimensional torus, the affine Kac-Moody algebra for SU(2)×SU(2) is realized at the absolute minimum of the vacuum energy. For general r-dimensional torus, the algebra for [SU(2)×SU(2)]r is found to be an unstable saddle point. A detailed study of r=2 case shows that SU(3)×SU(3) has the lowest vacuum energy.
Databáze: Supplemental Index