  We introduce an sl(n) homology theory for knots and links in the thickened
annulus. To do so, we first give a fresh perspective on sutured annular
Khovanov homology, showing that its definition follows naturally from trace
decategorifications of enhanced sl(2) foams and categorified quantum gl(m), via
classical skew Howe duality. This framework then extends to give our annular
sl(n) link homology theory, which we call sutured annular Khovanov-Rozansky
homology. We show that the sl(n) sutured annular Khovanov-Rozansky homology of
an annular link carries an action of the Lie algebra sl(n), which in the n=2
case recovers a result of Grigsby-Licata-Wehrli.

Quantum Algebra;Geometric Topology;Representation Theory