Show that a system of intersecting $D4$-$D6$ branes is supersymmetric

Physics Asked by Ramiro Hum-Sah on December 3, 2020

The paper "Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions" asserts (first paragraph, page 12,section 2.4) that a system of $N$ $D4$-branes intersecting with $k$ $D6$ branes along two flat directions (say on a 2-torus) is supersymmetric. The paper suggests that this can be shown by mapping the system by a series of $T$-dualities into a $D0$$D8$ or $D1$$D9$ system.

Question: How can I explicitly obtain the duality transformation?

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