Chern-kernels and anomaly cancellation in M-theory

Details Chern-kernels and anomaly cancellation in M-theory Chern-kernels and anomaly cancellation in M-theory

2003-02-14

arxiv.org/abs/hep-th/0302108v2

Nucl.Phys.B672:264-302,2003

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 39 pages, references and comments added

Scientific paper

10.1016/j.nuclphysb.2003.09.002

This paper deals with magnetic equations of the type dH=J where the current J is a delta-function on a brane worldvolume and H a p-form field strength. In many situations in M-theory this equation needs to be solved for H in terms of a potential. A standard universality class of solutions, involving Dirac-branes, gives rise to strong intermediate singularities in H which in many physically relevant cases lead to inconsistencies. In this paper we present an alternative universality class of solutions for magnetic equations in terms of Chern-kernels, and provide relevant applications, among which the anomaly-free effective action for open M2-branes ending on M5-branes. The unobservability of the Dirac-brane requires a Dirac quantization condition; we show that the requirement of ``unobservability'' of the Chern-kernel leads in M-theory to classical gravitational anomalies which cancel precisely their quantum counterparts.

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