Vertex Algebras on the corner; the GL-twisted N=4 Super Yang Mills gauge theory; W∞ Algebras
We introduce a new class of Vertex Operator Algebras Y+ and their duals, which generalize the standard W-algebras WN of type sl(N). These algebras can be defined in terms of junctions of boundary conditions and interfaces in the GL-twisted N = 4 Super Yang Mills gauge theory.
The aim of these technical calculations is to find the relation of these ortho-symplectic Y-algebras to truncations of even W\infinity.
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Fellah, Mohammed Akram, "Truncations of W (infinity) Algebras" (2020). Department of Physics Faculty Publications. 1.