Physics – Nuclear Physics
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989nuphb.315..528p&link_type=abstract
Nuclear Physics B, Volume 315, Issue 2, p. 528-540.
Physics
Nuclear Physics
16
Scientific paper
We examine the possibility of constraining the dimensions M + 1 and N of the physical space-time and the internal space, respectively, of the D(= M + N + 1)-dimensional theory L=√-ĝ(1/2K-2R + 1/2ΦAΦBĝAB), which is the field-theory limit of both the bosonic string and the superstring when higher-order terms K2φ-4/(D-2)R2 and K2φ-8/(D-2)ĤABC 2 can be ignored, where φ --- exp(1/2√(D-2)KΦ) is the dilation. The Wheeler-De Witt equation for the wave function of the Universe ψ is derived for the topology R × SM × RN, where the space RN is to approximate a (Ricci-flat) Kähler space. By requiring that ψ remain finite at the origin (zero (D - 1)-volume) and assuming that the eigenvalue of the dilaton energy-momentum tensor vanishes, we show that the metric initially possesses the ``no-scale'' form ds2 = -n2 dt2 + a2(t)dx2 + a-2(t)dy2, provided that (M - N)2 = M + N. This condition includes not only the cases D = 26 (M = 10, N = 15) and D = 10 (M = 3, N = 6), for which the dilaton beta function βφ vanishes (to lowest order in α') in the bosonic string and the superstring, respectively, but also the case D = 5 (M = 3, N = 1) corresponding to the original Kaluza-Klein theory. Since M = 3 for the physical space, then the superstring is allowed, while the bosonic string appears to be ruled out.
The analysis was motivated by a preprint of Enqvist, Mohanty and Nanopoulos.
No associations
LandOfFree
On the relationship between quantum cosmology and the dimensions of the superstring does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the relationship between quantum cosmology and the dimensions of the superstring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the relationship between quantum cosmology and the dimensions of the superstring will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1527739