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Open AccessLiouville irregular states of half-integer ranks
We conjecture a set of differential equations that characterizes the Liouville irregular states of half-integer ranks, which extends the generalized AGT correspondence to all the (A1, Aeven) and (A1, Dodd) types ...
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Article
Open AccessS1 reduction of 4D \( \mathcal{N} \) = 3 SCFTs and squashing independence of ABJM theories
We study the compactification of 4D N \( \mathcal{N} \) = 3 superconformal ...
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Article
Open AccessOn the Nekrasov partition function of gauged Argyres-Douglas theories
We study SU(2) gauge theories coupled to (A1, DN) theories with or without a fundamental hypermultiplet. For even N, a formula for the contribution of (A1, DN) to the Nekrasov partition function was recently obta...
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Open Access\( \mathcal{N} \) = 4 SYM, Argyres-Douglas theories, and an exact graded vector space isomorphism
In this first of two papers, we explain in detail the simplest example of a broader set of relations between apparently very different theories. Our example relates
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Open AccessArgyres-Douglas theories, S-duality and AGT correspondence
We propose a Nekrasov-type formula for the instanton partition functions of four-dimensional N ...
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Open AccessThe chiral algebra of genus two class \( \mathcal{S} \) theory
We construct the chiral algebra associated with the A1-type class S \( \mathcal{S} \) ...
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Open AccessPeculiar index relations, 2D TQFT, and universality of SUSY enhancement
We study certain exactly marginal gaugings involving arbitrary numbers of Argyres-Douglas (AD) theories and show that the resulting Schur indices are related to those of certain Lagrangian theories of class S$$ \...
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Open AccessArgyres-Douglas theories and Liouville irregular states
We study irregular states of rank-two and three in Liouville theory, based on an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states, we evaluate asymptotic expansions of irregular conf...
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Open AccessOPE selection rules for Schur multiplets in 4D \( \mathcal{N}=2 \) superconformal field theories
We compute general expressions for two types of three-point functions of (semi-)short multiplets in four-dimensional ...
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Open AccessOn the correspondence between surface operators in Argyres-Douglas theories and modules of chiral algebra
We compute the Schur index of Argyres-Douglas theories of type (AN −1,AM −1) with surface operators inserted, via the Higgsing prescription proposed by D. Gaiotto, L. Rastelli and S.S. Razamat. These surface oper...
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Open AccessFlowing from 16 to 32 supercharges
We initiate a study of an infinite set of renormalization group flows with accidental supersymmetry enhancement. The ultraviolet fixed points are strongly interacting four-dimensional
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Open AccessOn the chiral algebra of Argyres-Douglas theories and S-duality
We study the two-dimensional chiral algebra associated with the simplest Argyres-Douglas type theory with an exactly marginal coupling, i.e., the (A3, A3) theory. Near a cusp in the space of the exactly marginal ...
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Open Access\( \mathcal{N} \) = 2 S-duality revisited
Using the chiral algebra bootstrap, we revisit the simplest Argyres-Douglas (AD) generalization of Argyres-Seiberg S-duality. We argue that the exotic AD superconformal field theory (SCFT),
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Open AccessOn irregular singularity wave functions and superconformal indices
We generalize, in a manifestly Weyl-invariant way, our previous expressions for irregular singularity wave functions in two-dimensional SU(2) q-deformed Yang-Mills theory to SU(N). As an application, we give clos...
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Open AccessOn 4d rank-one \( \mathcal{N}=3 \) superconformal field theories
We study the properties of 4d N = 3 ...
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Open AccessArgyres-Douglas theories, the Macdonald index, and an RG inequality
We conjecture closed-form expressions for the Macdonald limits of the super-conformal indices of the (A 1 , A 2n − 3
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Open AccessArgyres-Douglas theories and S-duality
We generalize S-duality to N = 2 ...
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Open AccessCompact conformal manifolds
In this note we begin a systematic study of compact conformal manifolds of SCFTs in four dimensions (our notion of compactness is with respect to the topology induced by the Zamolodchikov metric). Supersymmetr...
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Open AccessConstraints on chiral operators in \( \mathcal{N}=2 \) SCFTs
We study certain higher-spin chiral operators in N = ...
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Open AccessAffine SU(N) algebra from wall-crossings
We study the relation between the instanton counting on ALE spaces and the BPS state counting on a toric Calabi-Yau three-fold. We put a single D4-brane on a divisor isomorphic to A ...
