5 problems

NS regularity conjecture.

Let $N$ be a positive integer, let $\mathcal{P}_{\rm seed}^{(N)}$ and $\mathcal{P}_{\rm bulk}^{(N)}$ denote the seed and bulk partition sets, let…

Let $S$, $\rho$, and $\tau$ be the parameters appearing in the defect instanton partition function, and consider the dual transformation $S\to S-\tau$. Symmetry conjecture. This tr…

Let $\mathfrak{t}_r^{(R)}(\tau,m)$ have a Fourier expansion in the variables $Q_\tau$ and $Q_m$, with $r\in\mathbb{N}$, and let $c_r(n,\ell)$ denote its Fourier coefficients. For…

The setup involves configurations with two elliptic parameters, $\rho$ and $\tau$, associated with the compactification directions of the little string theories. Bhardwaj's T-duali…