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On the reduction of 4d N=1 theories on S²
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On the reduction of 4d N=1 theories on S²
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We discuss reductions of general N=1 four dimensional gauge theories on S^2. The effective two dimensional theory one obtains depends on the details of the coupling of the theory to background fields, which can be translated to a choice of R-symmetry. We argue that, for special choices of R-symmetry, the resulting two dimensional theory has a natural interpretation as an N=(0,2) gauge theory. As an application of our general observations, we discuss reductions of N=1 and N=2 dualities and argue that they imply certain two dimensional dualities.
Forward citations
Cited by 3 Pith papers
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Six Easy Pieces: interplays among dualities in 4d, 3d and 2d
Baryon-deformed SU(N) gauge theory with an antisymmetric tensor is shown to flow to a free magnetic phase, and its reductions yield new 3d SU/SO and 2d SU/USp dualities.
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Supersymmetric zeta functions and determinants
Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.
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Central Charges and Vacuum Moduli of 2d $\mathcal{N}=(0,4)$ Theories from Class $\mathcal{S}$
Proposes conjectural central charge formulas for 2d N=(0,4) theories from class S reductions and verifies agreement via Hilbert series on special and twisted Higgs branches for SU(2) cases.
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