Chern-Simons-matter dualities with SO and USp gauge groups View Full Text


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Article Info

DATE

2017-02-14

AUTHORS

Ofer Aharony, Francesco Benini, Po-Shen Hsin, Nathan Seiberg

ABSTRACT

In the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled to fermions. In this paper we generalize those dualities to orthogonal and symplectic gauge groups. In particular, we conjecture dualities between SO(N)k Chern-Simons theories coupled to Nf real scalars in the fundamental representation, and SO(k)–N + N f / 2 theories coupled to Nf real (Majorana) fermions in the fundamental. For Nf = 0 these are just level-rank dualities of pure Chern-Simons theories, whose precise form we clarify. They lead us to propose new gapped boundary states of topological insulators and superconductors. For k = 1 we get an interesting low-energy duality between Nf free Majorana fermions and an SO(N)1 Chern-Simons theory coupled to Nf scalar fields (with Nf ≤ N − 2). More... »

PAGES

72

References to SciGraph publications

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