Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for bad cases.
On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
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abstract
We present an identity relating the partition function of N=4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of abelian theories can be derived from this formula, including the mirror transforms for more general gauge and matter content. We show that N=3 Chern-Simons QED and N=4 QED with BF-type couplings are conformal field theories with exactly marginal couplings. Mirror symmetry acts on these theories as strong-weak coupling duality. After identifying the mirror of the gauge coupling (sometimes called the ``magnetic coupling'') we construct a theory which is exactly mirror -- at all scales -- to N=4 SQED. We also study vortex-creation operators in the large $N_f$ limit.
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A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.
citing papers explorer
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Algorithmic Dualization of Unitary Circular Quivers
Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for bad cases.
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Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM
A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.
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D2-brane probes of non-toric cDV threefolds via monopole superpotentials
D2-brane probes of non-toric cDV threefolds are described by N=2 deformations of 3d N=4 affine Dynkin quivers using polynomial and monopole superpotentials, with 3d mirror symmetry reproducing the known quiver-collapsing mechanism.
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Universal Planar Abelian Duals for 3d $\mathcal{N}=2$ Symplectic CS-SQCD
New dualities are proposed between 3d N=2 USp(2N) CS-SQCD and Abelian planar quivers, obtained via real-mass deformations of N=4 mirrors and supported by matching partition functions, indices, and operator spectra.