An explicit Poisson vertex algebra A is proposed as the perturbative holomorphic-topological observables of pure SU(2) Seiberg-Witten theory; its series refines the Schur index and a differential Q_inst is introduced whose cohomology is hypothesized to capture non-perturbative corrections.
Dedushenko, On the 4d/3d/2d view of the SCFT/VOA correspondence , 2312.17747
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A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.
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Poisson Vertex Algebra of Seiberg-Witten Theory
An explicit Poisson vertex algebra A is proposed as the perturbative holomorphic-topological observables of pure SU(2) Seiberg-Witten theory; its series refines the Schur index and a differential Q_inst is introduced whose cohomology is hypothesized to capture non-perturbative corrections.
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Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential
A global perturbative potential for the Coulomb branch is derived via zeta regularization of D-terms from KK modes in R^3 x S^1 compactifications of 4d N=1 theories.
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On non-relativistic integrable models and 4d SCFTs
Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.
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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.