Supersymmetry breaking and a normalizable wavefunction for the FRW (k=0) cosmological model

Citation
O. Obregon et al., Supersymmetry breaking and a normalizable wavefunction for the FRW (k=0) cosmological model, CLASS QUANT, 16(9), 1999, pp. 2861-2870
Citations number
36
Categorie Soggetti
Physics
Journal title
CLASSICAL AND QUANTUM GRAVITY
ISSN journal
02649381 → ACNP
Volume
16
Issue
9
Year of publication
1999
Pages
2861 - 2870
Database
ISI
SICI code
0264-9381(199909)16:9<2861:SBAANW>2.0.ZU;2-O
Abstract
Making use of supersymmetry breaking selection rules under local n = 2 conf ormal supersymmetry we are able to obtain a normalizable wavefunction (at z ero energy) of the universe for the ERW cosmological model (k = 0). For thi s purpose it is necessary to 'weight' the inner product with the scalar fac tor R. The appropriate Hermitian operators are constructed and the expectat ion value of R is calculated giving us the size of the universe.