Anomaly cancellation in seven-dimensional supergravity with a boundary

Abstract

We construct a seven-dimensional brane world in a slice of AdS 7, where the boundary matter content is fixed by the cancellation of anomalies. The seven-dimensional minimal N = 2 gauged supergravity is compactified on the orbifold S1/Z2, and the supersymmetric bulk-boundary Lagrangian is consistently derived for boundary vector and hypermultiplets up to fermionic bilinear terms. Anomaly cancellation then fixes the boundary gauge coupling in terms of the seven-dimensional Planck mass, and a topological mass parameter of the Chern-Simons term. In addition for gauge groups containing the standard model, anomaly cancellation restricts the gauge groups on the six-dimensional boundaries to be only..