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Gauge Dynamics And Compactification To Three Dimensions

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arxiv hep-th/9607163 v1 pith:5AASHEKT submitted 1996-07-18 hep-th

classification hep-th
keywords gaugetheoriesthreedimensionaldimensionsfoursupersymmetricagreeing
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study four dimensional $N=2$ supersymmetric gauge theories on $R^3 \times S^1$ with a circle of radius $R$. They interpolate between four dimensional gauge theories ($R=\infty$) and $N=4$ supersymmetric gauge theories in three dimensions ($R=0$). The vacuum structure can be determined quite precisely as a function of $R$, agreeing with three and four-dimensional results in the two limits.

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Cited by 4 Pith papers

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  2. Quiver Yangians as Coulomb branch algebras

    hep-th 2025-02 unverdicted novelty 6.0 of 10

    Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.

  3. Coulomb Branches in 3d $\mathcal{N} = 4$ Revisited

    hep-th 2024-12 conditional novelty 6.0 of 10

    Dual boundary conditions reduce Omega-deformed 3d N = 4 localization to integrals over Hecke modification spaces, recovering the BFN Coulomb branch algebra, boundary modules, and cylindrical KLRW algebras.

  4. Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

    hep-th 2024-09 unverdicted novelty 6.0 of 10

    High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and assoc...

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