Central charges of wrapped M5-brane backgrounds

We study the central charges of the supersymmetry algebra of branes inbackgrounds corresponding to wrapped M5-branes. In the case of M5-braneswrapping a holomorphic 2-cycle in two complex-dimensional space, we find thisallows for a supersymmetric M5-brane probe which is related to the M2-braneprobe which describes the BPS spectra of the corresponding N=2 worldvolumegauge theory. For the case of M5-branes wrapping a holomorphic 2-cycle in threecomplex-dimensional space, we find that the central charges allow for asupersymmetric M5-brane probe wrapping a Cayley calibrated 4-cycle, which hasan intersecting BPS domain wall interpretation in the corresponding N=1 MQCDgauge theory. The domain wall is constructed explicitly as an M5-brane wrappingan associative 3-cycle. The tension is found to be the integral of acalibrating form. These wrapped M5-brane backgrounds provide a clear andinteresting geometrical realisation of structure groups of M-theory vacua withfluxes.Comment: 27 page