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Vertex Operators for Irregular Conformal Blocks: Supersymmetric Case

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arxiv 1604.08741 v1 pith:RRRXHCS6 submitted 2016-04-29 hep-th

Vertex Operators for Irregular Conformal Blocks: Supersymmetric Case

classification hep-th
keywords irregularoperatorssupersymmetriccasecollidinglimitstructurevertex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We construct supersymmetric irregular vertex operators of arbitrary rank, appearing in the colliding limit of primary fields. We find that the structure of the supersymmetric irregular vertices differs significantly from the bosonic case: upon supersymmetrization, the irregular operators are no longer the eigenstates of positive Virasoro and $W_N$ generators but block-diagonalize them. We relate the block-diagonal structure of the irregular vertices to contributions of the Ramond sector to the colliding limit.

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