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Superconformal indices for non-Lagrangian theories in five dimensions
We propose two novel methods for computing the superconformal index of 5d superconformal field theories that cannot be described by conventional...
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Large N superconformal indices for 3d holographic SCFTs
We study a limit of the superconformal index of the ABJM theory on S 1 × S 2 in which the size of the circle is much smaller than the radius of the...
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Superconformal quantum mechanics and growth of sheaf cohomology
We give a geometric interpretation for superconformal quantum mechanics defined on a hyper-Kähler cone which has an equivariant symplectic...
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Lifting of superconformal descendants in the D1-D5 CFT
We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where we excite one copy of the seed CFT with a left-moving...
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Superconformal indices and localization in N = 2B quantum mechanics
Superconformal ‘type B’ quantum mechanical sigma models arise in a variety of interesting contexts, such as the description of D-brane bound states...
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Superconformal Algebras and Holomorphic Field Theories
We show that four-dimensional superconformal algebras admit an infinite-dimensional derived enhancement after performing a holomorphic twist. The...
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Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices
Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial...
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Superconformal Blocks in Diverse Dimensions and BC Symmetric Functions
We uncover a precise relation between superblocks for correlators of superconformal field theories (SCFTs) in various dimensions and symmetric...
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Carrollian superconformal theories and super BMS
We investigate the supersymmetric versions of Bondi-Metzner-Sachs or, equivalently, conformal Carroll symmetry in boundary dimensions d > 3, with...
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On the Kähler-Hodge structure of superconformal manifolds
We show that conformal manifolds in d ≥ 3 conformal field theories with at least 4 supercharges are Kähler-Hodge, thus extending to 3d
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Embedding of the Georgi-Glashow SU(5) model in the superconformal algebra
We present a scheme to construct grand unified models based on the superconformal algebra and the inclusion of matter fields in the adjoint...
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Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel
We consider strong ’t Hooft coupling expansion in special four-dimensional 𝒩 = 2 superconformal models that are planar-equivalent to 𝒩 = 4 super...
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Gauging the superconformal group with a graded dual operator
Based on the superconformal algebra we construct a dual operator that introduces a grading among bosonic generators independent of the boson/fermion...