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arxiv: 1705.04410 · v4 · pith:4VUDFFYUnew · submitted 2017-05-12 · ✦ hep-th · math.QA· math.RT

Fractional quiver W-algebras

Taro Kimura , Vasily Pestun This is my paper
classification ✦ hep-th math.QAmath.RT
keywords fractionalquiverarxivw-algebrasassociatedconstructiondefinegauge
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We introduce quiver gauge theory associated with the non-simply-laced type fractional quiver, and define fractional quiver W-algebras by using construction of arXiv:1512.08533 and arXiv:1608.04651 with representation of fractional quivers.

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  1. q-Opers, QQ-Systems, and Bethe Ansatz

    math.AG 2020-02 unverdicted novelty 8.0

    Introduces (G,q)-opers and Miura (G,q)-opers, then establishes their bijection with Bethe Ansatz solutions, yielding a qDE/IM correspondence that uses Langlands dual for non-simply-laced cases via the QQ-system.