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Anomaly free effective action for the elementary M5-brane

K. Lechner·P. A. Marchetti·M. Tonin
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Abstract

We construct an effective action describing an elementary M5-brane interacting with dynamical eleven-dimensional supergravity, which is free from gravitational anomalies. The current associated to the elementary brane is taken as a distribution valued delta-function on the support of the 5-brane itself. Crucial ingredients of the construction are the consistent inclusion of the dynamics of the chiral two-form on the 5-brane, and the use of an invariant Chern-kernel allowing to introduce a D=11 three-form potential which is well defined on the worldvolume of the 5-brane.

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K. Lechner, P. A. Marchetti, M. Tonin. 2001-11-22. Anomaly free effective action for the elementary M5-brane. https://doi.org/10.1016/s0370-2693(01)01390-9

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