Chiral fermions in $N=2$, $d=10$ supergravity with additional time dimensions

Aref'eva, Volovich, and Dragovic have shown that the use of additional time dimensions makes it possible to obtain spontaneous dimensional reduction of $d=10$ supergravity to Minkowski space. The zero modes of the Fermi fields are considered for the vacuum solution they found, and it is shown that chiral fermions exist.