3 problems

Let $Q=e^{2\pi i t}$, and define … Let $F_{\mathrm{GV}}(\lambda,t)$ and $F_{\mathrm{NS}}(g,t)$ denote the Gopakumar–Vafa and Nekrasov–Shatashvili free energies, respectively. Hatsu…

Let a Fermi system have an attractive interaction, and consider the perturbative series for its ground-state energy. Let the energy gap denote the difference between the ground-sta…

Let $E^{\text{pert}}(n,g)$ denote the perturbative energy, let $\mathcal{P}^{\text{bion}}(n,g)$ denote the fluctuation around the bion saddle, and let $S^{\text{inst}}=2$ be the in…