Abstract
D3 branes stretching between webs of (p,q) 5branes provide an interesting class of 3d \( \mathcal{N} \) = 2 theories. For generic pq-webs however the low energy field theory is not known. We use 3d mirror symmetry and Type IIB S-duality to construct Abelian gauge theories corresponding to D3 branes ending on both sides of a pq-web made of many coincident N S5’s intersecting one D5. These theories contain chiral monopole operators in the superpotential and enjoy a non trivial pattern of global symmetry enhancements. In the special case of the pq-web with one D5 and one N S5, the 3d low energy SCFT admits three dual formulations. This triality can be applied locally inside bigger quiver gauge theories. We prove our statements using partial mirror symmetry à la Kapustin-Strassler, showing the equality of the S 3 b partition functions and studying the quantum chiral rings.
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Benvenuti, S., Pasquetti, S. 3d \( \mathcal{N} \) = 2 mirror symmetry, pq-webs and monopole superpotentials. J. High Energ. Phys. 2016, 136 (2016). https://doi.org/10.1007/JHEP08(2016)136
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DOI: https://doi.org/10.1007/JHEP08(2016)136