On 4d rank-one N=3 superconformal field theories

Takahiro Nishinaka; Yuji Tachikawa

On 4d rank-one N=3 superconformal field theories

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arxiv 1602.01503 v1 pith:7F4AW735 submitted 2016-02-03 hep-th

Takahiro Nishinaka , Yuji Tachikawa This is my paper · ORCID

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We study the properties of 4d N=3 superconformal field theories whose rank is one, i.e. those that reduce to a single vector multiplet on their moduli space of vacua. We find that the moduli space can only be of the form C^3/Z_k for k=1,2,3,4,6, and that the supersymmetry automatically enhances to N=4 for k=1,2. In addition, we determine the central charges a and c in terms of k, and construct the associated 2d chiral algebras, which turn out to be exotic N=2 supersymmetric W-algebras.

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