  It is well known that very large magnetic fields are generated when the
Quark-Gluon Plasma is formed during peripheral heavy-ion collisions. Lattice,
holographic, and other studies strongly suggest that these fields may, for
observationally relevant field values, induce "inverse magnetic catalysis",
signalled by a lowering of the critical temperature for the
chiral/deconfinement transition. The theoretical basis of this effect has
recently attracted much attention; yet so far these investigations have not
included another, equally dramatic consequence of the peripheral collision
geometry: the QGP acquires a large angular momentum vector, parallel to the
magnetic field. Here we use holographic techniques to argue that the angular
momentum can also, independently, have an effect on transition temperatures,
and we obtain a rough estimate of the relative effects of the presence of both
a magnetic field and an angular momentum density. We find that the shearing
angular momentum reinforces the effect of the magnetic field at low values of
the baryonic chemical potential, but that it can actually decrease that effect
at high chemical potentials.
