We consider the problem of coupling a dyonic p-brane in d = 2p+4 space-time
dimensions to a prescribed (p+2)-form field strength. This is particularly
subtle when p is odd. For the case p = 1, we explicitly construct a coupling
functional, which is a sum of two terms: one which is linear in the prescribed
field strength, and one which describes the coupling of the brane to its
self-field and takes the form of a Wess-Zumino term depending only on the
embedding of the brane world-volume into space-time. We then show that this
functional is well-defined only modulo a certain anomaly, related to the Euler
class of the normal bundle of the brane world-volume.Comment: 7 pages; reference adde