Anomaly cancellation in seven-dimensional supergravity with a boundary

Tony Gherghetta and Alex Kehagias
Phys. Rev. D 68, 065019 – Published 23 September 2003
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Abstract

We construct a seven-dimensional brane world in a slice of AdS7, 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 one of the exceptional groups. There are also special values of the separation of the two boundaries, where the boundary couplings become singular, and lead to a possible phase transition in the boundary theory. Furthermore, by the AdS/CFT correspondence our brane world is dual to a six-dimensional conformal field theory, suggesting that our bulk theory describes the strong coupling dynamics of six-dimensional theories.

  • Received 21 January 2003

DOI:https://doi.org/10.1103/PhysRevD.68.065019

©2003 American Physical Society

Authors & Affiliations

Tony Gherghetta

  • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455, USA

Alex Kehagias

  • Athens National Technical University, Zografou, Greece
  • Institute of Nuclear Physics, N.C.R.P.S. Democritos, GR-15310, Athens, Greece

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Vol. 68, Iss. 6 — 15 September 2003

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