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We study half-BPS line defects in $mathcal{N}=2$ superconformal theories using the bootstrap approach. We concentrate on local excitations constrained to the defect, which means the system is a $1d$ defect CFT with $mathfrak{osp}(4^*|2)$ symmetry. In order to study correlation functions we construct a suitable superspace, and then use the Casimir approach to calculate a collection of new superconformal blocks. Special emphasis is given to the displacement operator, which controls deformations orthogonal to the defect and is always present in a defect CFT. After setting up the crossing equations we proceed with a numerical and analytical bootstrap analysis. We obtain numerical bounds on the CFT data and compare them to known solutions. We also present an analytic perturbative solution to the crossing equations, and argue that this solution captures line defects in $mathcal{N}=2$ gauge theories at strong coupling.
We study the conformal data of a generic superconformal half-BPS line defect in a four-dimensional $mathcal{N} = 2$ theory. We prove a theory independent relation between the one-point function of the stress tensor in the presence of the line defect
We study 3d $mathcal{N}=2$ supersymmetric gauge theories on closed oriented Seifert manifold---circle bundles over an orbifold Riemann surface---, with a gauge group G given by a product of simply-connected and/or unitary Lie groups. Our main result
We consider $3d$ $mathcal{N}!=!2$ gauge theories with fundamental matter plus a single field in a rank-$2$ representation. Using iteratively a process of deconfinement of the rank-$2$ field, we produce a sequence of Seiberg-dual quiver theories. We d
In this paper we present a beautifully consistent web of evidence for the existence of interacting 4d rank-1 $mathcal{N}=2$ SCFTs obtained from gauging discrete subgroups of global symmetries of other existing 4d rank-1 $mathcal{N}=2$ SCFTs. The glob
We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them in perturba