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New and old N=8 superconformal field theories in three dimensions

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arxiv 1103.3548 v1 pith:JKMHJ3BB submitted 2011-03-18 hep-th

Denis Bashkirov , Anton Kapustin This is my paper · ORCID
classification hep-th
keywords theoriessuperconformalfamilyhiddenaharonybaggerbergmanchern-simons-matter
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We show that an infinite family of N=6 d=3 superconformal Chern-Simons-matter theories has hidden N=8 superconformal symmetry and hidden parity on the quantum level. This family of theories is different from the one found by Aharony, Bergman, Jafferis and Maldacena, as well as from the theories constructed by Bagger and Lambert, and Gustavsson. We also test several conjectural dualities between BLG theories and ABJ theories by comparing superconformal indices of these theories.

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  1. Reflection groups and 3d $\mathcal{N}\ge $ 6 SCFTs

    hep-th 2019-08 conditional novelty 7.0 of 10

    All known 3d N=8 and N=6 SCFT moduli spaces are quotients by reflection groups, predicting two new N=8 theories and proving the equivalence of two ABJM theories.

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