The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.
N=1 Lagrangians for generalized Argyres-Douglas theories
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abstract
We find $\mathcal{N}=1$ Lagrangian gauge theories that flow to generalized Argyres-Douglas theories with $\mathcal{N}=2$ supersymmetry. We find that certain SU quiver gauge theories flow to generalized Argyres-Douglas theories of type $(A_{k-1}, A_{mk-1})$ and $(I_{m, k m}, S)$. We also find quiver gauge theories of SO/Sp gauge groups flowing to the $(A_{2m-1}, D_{2mk+1})$, $(A_{2m}, D_{2m(k-1)+k})$ and $D_{m(2k+2)}^{m(2k+2)}[m]$ theories.
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On W-algebras and ODE/IM correspondence
The eigenvalues of quantum KdV-type charges in Virasoro, W3, and W4 algebras are computed from Bethe roots via WKB periods of Catalan curves, verified against direct CFT diagonalization.