Preprint Article Version 1 This version is not peer-reviewed

Truncations of W∞ Algebras

Version 1 : Received: 18 March 2020 / Approved: 23 March 2020 / Online: 23 March 2020 (01:45:33 CET)

How to cite: Fellah, M.A. Truncations of W∞ Algebras. Preprints 2020, 2020030327 (doi: 10.20944/preprints202003.0327.v1). Fellah, M.A. Truncations of W∞ Algebras. Preprints 2020, 2020030327 (doi: 10.20944/preprints202003.0327.v1).

Abstract

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.

Subject Areas

Vertex Algebras on the corner; the GL-twisted N=4 Super Yang Mills gauge theory; W∞ Algebras

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