| dc.description.abstract | Kaluza-Klein dimensional reduction is an indispensable ingredient of the theoretical physics,
since, M-theory and superstring theories are consistent in eleven and ten dimensions and thus, to
make a connection to our four-dimensional space-time physics, it is crucial to use this mechanism.
Dimensional reduction on a general coset space such as a sphere, introduced by Pauli, is more subtle
that that of a group manifold reduction, introduced by DeWitt, including the circle reduction of
Kaluza and Klein. While there is a group-theoretic argument for the consistency of the latter, there
is no such an argument for the former, hence, besides the exceptional cases, all Pauli reductions
may be inconsistent.
We study an uplift ansatz for two specific truncations of gauged STU supergravity. This theory
itself is an important truncation of the renowned N = 8, gauged SO(8) supergravity in four
dimensions. We consider two truncations of the former theory, named as 3+1 and 2+2, due to the
way of truncations of their gauge fields. We find the uplift ansätze for the metric and the four-form
field strength in these cases.
We consider two theories and explore the possibility of their consistent Pauli S^2 reductions.
First, minimal supergravity in five dimensions, and second, the Salam-Sezgin theory. We use the
Hopf reduction technique in both cases, and by that, we show while it is not possible to perform
a consistent reduction of the former, there is a consistent Pauli reduction of the latter, and by this
construction, we can recover the result of Gibbons-Pope in 2003. In other words, we can provide
a group theoretical argument for their work. To make the latter case happen, we find a new higher
dimensional origin for the Salam-Sezgin theory, at least in the bosonic sector. | en |
