H.H.B. Silva; http://lattes.cnpq.br/4585277872014594; SILVA, Heydson Henrique Brito da.
Abstract:
An intriguing question in physics today is that some theories propose that the existence
of a number of dimensions higher than observed physically. One of these theories is the
Superstring Theory, which provides a universe composed of nine spatial dimensions and
one temporal. In this work we present some methods of compactification of these dimensions to smaller dimensions. The first method is a model of six real scalar fields providing six 8-dimensional domain wall solutions (or 8-branes) embeded in (9 + 1)-dimensional space-time which intersect forming junctions whose space-time is 4-dimensional. In this method we include the fermionic sector in theory to investigate whether the Standard Model SU(3) £ SU(2) £ U(1) may be the result of a mechanism for reduction or compactification of extra dimensions. The second method that we address here it is a single domain wall (or 3-brane) embedded in D-dimensions. All the methods discussed here deal primarily to the location of fermionic and scalar field modes.