Chern-Simons-matter dualities with SO and USp gauge groups

By O. Aharony, F. Benini, Po-Shen Hsin, N. Seiberg. 2016

133 citations recorded by the source corpus.

A bstractIn 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).

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/24ddb7ae44041fa8177eefd4f241c4784ca6e58d

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Citations in the corpus

Comments on one-form global symmetries and their gauging in 3d and 4d (2018, background): “Thus U(1)8n←→ SU(8n)−1 are dual as non-spin TQFTs in agreement with [35].”
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions (2017, unknown): “Therefore, this model is within the regime where the dualities of [10-23] apply.”
On 2-group global symmetries and their anomalies (2018, background): “We can add an O(Nf )-invariant potential for the scalar fields and tune the mass term to zero: depending on N , K, Nf the theory at long distances has been conjectured to flow to a critical point or a symmetrybreaking phase [51, 52].”
Higher Gauging and Non-invertible Condensation Defects (2022, background): “The invertible Z2 surface in the case of a fermion line was mentioned in [80].”
Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “It has a dual description as SO(3) − 3 2 ∼= SU(2)−3/Z2 with a fermion in the adjoint [45], which seems to have N = 1 supersymmetry.”