Abstract
AbstractWe consider five-dimensional supergravity theories with eight or sixteen supercharges with Abelian vector fields and ungauged scalars. We address the question under which conditions these theories can be interpreted as effective low energy descriptions of circle reductions of anomaly free six-dimensional theories with (1,0) or (2,0) supersymmetry. We argue that classical and one-loop gauge- and gravitational Chern-Simons terms are instrumental for this question.
Highlights
Even if we do not have control over the full class of six-dimensional supergravities, we can still formulate non-trivial conditions for a given five-dimensional theory to be lifted to a specific subset of six-dimensional models
We address the question under which conditions these theories can be interpreted as effective low energy descriptions of circle reductions of anomaly free six-dimensional theories with (1,0) or (2,0) supersymmetry
If an N = 2 theory can be seen as the circle reduction of a six-dimensional theory, it has to come from a (1, 0) theory: for one, if the six-dimensional theory had more supersymmetry, we would find more than eight supercharges in five dimensions
Summary
Even if we do not have control over the full class of six-dimensional supergravities, we can still formulate non-trivial conditions for a given five-dimensional theory to be lifted to a specific subset of six-dimensional models. We discuss the possibility to study them using classical and one-loop gauge and gravitational Chern-Simons terms in the theory obtained by compactification on a circle. We try to argue that a careful study of Chern-Simons terms in a generic fivedimensional gauge theory allows to obtain non-trivial information about the spectrum (and about the quantum-consistency) of a potential six-dimensional parent theory.
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