3 problems

Let a $d$-dimensional superconformal field theory, with $d$ even, be placed on a space with topology … Let $I_{d+2}$ denote its anomaly polynomial, and let the integral below be th…

Let $\Delta(2,3,7)$ be the $(2,3,7)$-triangle group acting on the hyperbolic plane $\mathbb{H}$, and let $\ell_n$ denote the lengths of the relevant closed geodesics, subject to th…

Let $\mathcal{I}(p,q,y)$ be a superconformal index and suppose that the corresponding partition function can be written in the form of Eq., with the transformed index and exponenti…