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T-branes, monopoles and S-duality

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arxiv 1703.09238 v2 pith:HG6TN3IO submitted 2017-03-27 hep-th

T-branes, monopoles and S-duality

classification hep-th
keywords descriptiont-branestheoriesablebackgroundsbranesclassconventional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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    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-collaps...