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Dirac Branes, Characteristic Currents and Anomaly Cancellations in 5-Branes

Kurt Lechner·Pieralberto Marchetti
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Abstract

The aim of this note is to discuss, in a somewhat informal language, the cancellation of anomalies (in topologically trivial space-time) for 5-branes using as "building blocks": i) a generalization to p-branes of the Dirac strings of monopoles (Dirac branes) and a refinement of this idea involving a geometric regularization of Dirac branes, leading to the formalism of "characteristic currents" ii) the PST formalism . As an example of the potentiality of the developed framework we discuss in some detail the anomaly cancellation in the D=10 effective theory of heterotic string and 5-brane coupled to supergravity, where the anomaly inflow is automatically generated. Some remarks are also made on a similar approach to the problem of anomaly cancellation in the effective theory of M5-brane coupled to D=11 supergravity, developed in collaboration with M.Tonin, where however still as open problem remains a Dirac anomaly.

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Kurt Lechner, Pieralberto Marchetti. 2001-03-20. Dirac Branes, Characteristic Currents and Anomaly Cancellations in 5-Branes. https://doi.org/10.1016/s0920-5632(01)01542-0

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