T-branes, monopoles and S-duality

Abstract

M2 branes probing T-brane backgrounds in M-theory with ADE surface singularities perceive deformations on their worldvolume superpotentials by monopole operators. The dynamics and moduli spaces of the resulting theories can be studied using a dual description involving conventional superpotential terms and (the dimensional reduction of) class S trinion theories. By using the S-dual description of N=2 SU(N) SQCD with 2N flavors in four dimensions, we are able to study T-branes corresponding to all minimal nilpotent orbits for the whole ADE series. Our proposed dualities are supported by the match in squashed sphere partition functions.

59 pages, 25 figures; added Section 7 where we checked the proposed duality by sphere partition function computations

References in corpus (12)

• Notes on SUSY Gauge Theories on Three-Sphere
• S-duality in N=2 supersymmetric gauge theories
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• T-Branes and Monodromy
• SUSY monopole potentials in 2+1 dimensions
• T^σ_ρ(G) Theories and Their Hilbert Series
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• N = 1 SCFTs from Brane Monodromy
• The moduli spaces of $3d$ $\mathcal{N}\ge 2$ Chern-Simons gauge theories and their Hilbert series
• There and back again: A T-brane's tale
• T-branes and Matrix Models

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• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• 5d Higgs Branches from M-theory on quasi-homogeneous cDV threefold singularities
• Notes on Integral Identities for 3d Supersymmetric Dualities
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
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• Geometric Unification of Higgs Bundle Vacua
• The two faces of T-branes
• Nonabelian Mirror Symmetry Beyond the Chiral Ring
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
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