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Mapping AdS$_4$ quantum gravity via the Bethe Ansatz formula
The topologically twisted index of 3d ADHM theory can be written as a sum over solutions to the Bethe Ansatz Equations (BAEs) of the XXZ-type model constructed from quantum toroidal $\mathfrak{g}\mathfrak{l}_1$. Via a novel numerical algorithm, we solve for all $p(N)$ physical solutions at $N\leq 21
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