10 problems

Nontriviality conjecture. The $U(1)$-bundle can always be non-trivial for all possible values of $q$, so that covering $W(t)$ by more than one gauge patch yields analogous quantiza…

Let $\mathcal{M}$ be an internal manifold with isometries, and let $\mathfrak{g}(\mathcal{M})$ be its generalized Kac–Moody current algebra. Let fluxes be pulled back to…

Let $A$ be any configuration of non-compactly-supported branes, and let bound states with $n$ D0-branes be denoted by $A\rightarrow n\ \text{D0}$. The weight of such a configuratio…

Let a singular elliptic fiber have rational components and a specified Kodaira type. Consider $(B,A,A)$ branes supported on those rational components, together with the mirror elli…

Consider a single $M5$ brane on $\mathbb{R}^7\times(\mathbb{R}^4/\mathbb{Z}_N)$, located at the singular point of the $A_N$ singularity and spanning six of the seven directions in…

Consider type IIA string theory on $\mathbb{R}^{10}$ with one $NS5$ brane on $\mathbb{R}^6\subset\mathbb{R}^{10}$, where $x_6,\ldots,x_9=0$, together with $k$ semi-infinite $D6$ br…

The effective BPS regimes of M2-branes and M5-branes are described in closely related ways. Palmer's conjecture. The descriptions of the effective BPS regimes of M2- and M5-branes…

Let a p-brane be compactified on a target space $M_{D-p}\times\mathcal{Y}_p$ with winding data satisfying … and impose the generalized irreducible wrapping condition … This defines…

Let $Y$ be the complexified target and let $\widetilde Y$ be its mirror. Assume the canonical coisotropic brane on $Y$ has mirror brane $\widetilde{\mathcal B}_{cc}$, obtained as t…

The ABJM model is a three-dimensional supersymmetric Chern–Simons-matter theory with rank parameter $N$. The BLG-Nambu model is the $\mathcal{N}=8$ supersymmetric theory obtained b…