  The p-spin spin-glass model has been studied extensively at mean-field level
because of the insights which it provides into the mode-coupling approach to
structural glasses and the nature of the glass transition. We demonstrate
explicitly that the finite dimensional version of the p-spin model is in the
same universality class as an Ising spin glass in a magnetic field. Assuming
that the droplet picture of Ising spin glasses is valid we discuss how this
universality may provide insights into why structural glasses are either
"fragile" or "strong".
