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arxiv: 0805.3662 · v2 · submitted 2008-05-23 · ✦ hep-th

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N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets

Kazuo Hosomichi , Ki-Myeong Lee , Sangmin Lee , Sungjay Lee , Jaemo Park
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classification ✦ hep-th
keywords theoriesgaugechern-simonshyperhyper-multipletsmodelsuperconformalthose
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We extend the N=4 superconformal Chern-Simons theories of Gaiotto and Witten to those with additional twisted hyper-multiplets. The new theories are generically linear quiver gauge theories with the two types of hyper-multiplets alternating between gauge groups. Our construction includes the Bagger-Lambert model of SO(4) gauge group. A family of abelian theories are identified with those proposed earlier in the context of the M-crystal model for M2-branes probing (C^2/Z_n)^2 orbifolds. Possible extension with non-abelian BF couplings and string/M-theory realization are briefly discussed.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories

    hep-th 2026-04 unverdicted novelty 6.0

    Sphere partition functions of 3d N=4 Chern-Simons-matter theories are conjectured to equal sums of twisted traces on Verma modules over quantized moduli stacks of vacua.