Exploring 6D origins of 5D supergravities with Chern-Simons terms

TL;DR

This paper investigates conditions under which 5D supergravity theories with Chern-Simons terms can be derived from 6D theories via circle reduction, emphasizing the role of classical and quantum Chern-Simons contributions.

Contribution

It provides criteria linking 5D supergravities with 6D origins, highlighting the importance of gauge and gravitational Chern-Simons terms in this relationship.

Findings

Classical and one-loop Chern-Simons terms are crucial for 6D to 5D reduction consistency.

Conditions are identified for 5D theories to originate from anomaly-free 6D theories.

The role of supersymmetry in constraining these reductions is clarified.

Abstract

We 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.