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 Yangi...

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Bibliographic Details
Published in:Journal of mathematical physics 2022-09, Vol.63 (9)
Main Authors: Dedushenko, Mykola, Gaiotto, Davide
Format: Article
Language:English
Subjects:
Chains
Correlators
Mathematical analysis
Operators (mathematics)
Physics
Transfer matrices
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Summary: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 matrices associated with Verma modules or, equivalently, of products of Baxter’s Q-operators. This can be viewed as a novel connection between the N=4 super Yang–Mills and integrable spin chains. We also remark on analogous constructions involving half-BPS Wilson lines.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0073021