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Seiberg, Nathan; Taylor, Washington

Charge lattices and consistency of 6D supergravity. (English) Zbl 1298.81150

J. High Energy Phys. 2011, No. 6, Paper No. 001, 16 p. (2011).
Summary: We extend the known consistency conditions on the low-energy theory of six-dimensional \( \mathcal{N} = 1 \) supergravity. We review some facts about the theory of two-form gauge fields and conclude that the charge lattice {\(\Gamma\)} for such a theory has to be self-dual. The Green-Schwarz anomaly cancellation conditions in the supergravity theory determine a sublattice of {\(\Gamma\)}. The condition that this sublattice can be extended to a self-dual lattice {\(\Gamma\)} leads to a strong constraint on theories that otherwise appear to be self-consistent.

Cited in 52 Documents

MSC:

81T10 Model quantum field theories
83E15 Kaluza-Klein and other higher-dimensional theories
83E50 Supergravity
81T60 Supersymmetric field theories in quantum mechanics
81T50 Anomalies in quantum field theory

Keywords:

field theories in higher dimensions; supergravity models
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References:

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