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arXiv · hep-th/9711048

N=(4,2) Chiral Supergravity in Six Dimensions and Solvable Lie Algebras

Riccardo D'Auria·Sergio Ferrara·Costas Kounnas
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Abstract

Decomposition of the solvable Lie algebras of maximal supergravities in D=4, 5 and 6 indicates, at least at the geometrical level, the existence of an N=(4,2) chiral supergravity theory in D=6 dimensions. This theory, with 24 supercharges, reduces to the known N=6 supergravity after a toroidal compactification to D=5 and D=4. Evidence for this theory was given long ago by B. Julia. We show that this theory suffers from a gravitational anomaly equal to 4/7 of the pure N=(4,0) supergravity anomaly. However, unlike the latter, the absence of N=(4,2) matter to cancel the anomaly presumably makes this theory inconsistent. We discuss the obstruction in defining this theory in D=6, starting from an N=6 five-dimensional string model in the decompactification limit. The set of massless states necessary for the anomaly cancellation appears in this limit; as a result the N=(4,2) supergravity in D=6 is extended to N=(4,4) maximal supergravity theory.

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Riccardo D'Auria, Sergio Ferrara, Costas Kounnas. 1997-11-07. N=(4,2) Chiral Supergravity in Six Dimensions and Solvable Lie Algebras. https://doi.org/10.1016/s0370-2693(97)01508-6

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