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Comments on the operator algebra of the (2,0) theory Beem, Christopher


The algebra of local operators in the (2,0) theory is strongly constrained by superconformal invariance and associativity of the operator product expansion. I will describe a “twist” of this algebra that produces a structure equivalent to that of a two-dimensional vertex operator algebra (VOA). I will further argue that the VOA obtained in this way from the (2,0) theory of type g is the corresponding affine W-algebra. The algebra of local operators associated to a defect operator in the (2,0) theory can be similarly twisted, and the resulting VOA identified as an affine current algebra at the critical level.

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