Correlators on the wall and sln spin chain

We study algebras and correlation functions of local operators at half-BPS interfaces engineered by the stacks of D5 or NS5 branes in the 4D N=4 super Yang–Mills. The operator algebra in this sector is isomorphic to a truncation of the Yangian Y(gln). The correlators, encoded in a trace on the Yangian, are controlled by the inhomogeneous sln spin chain, where n is the number of fivebranes: they are given in terms of matrix elements of transfer …