7 problems

Let $\mathbb{V}$ be a finite-dimensional real vector space with a euclidean or lorentzian inner product, let $p\geq 2$, and let $F\in\Lambda^p\mathbb{V}^*$. For…

Let $\mathcal E_{\mathrm{twist}}$ be the Courant algebroid associated to the twist, and let the extended BPS complex be the complex for $G=U(5)\times SO(10+k)$ associated to the co…

Let $\mathcal E_{\mathrm{twist}}$ be the Courant algebroid over the Dolbeault complex associated to a twist datum. The Costello–Li twist of type I supergravity is the perturbative…

Consider a $D$-brane in type IIA or IIB string theory, a brane in the topological string, or a brane in $M$-theory, viewed as a defect in the string theory or supergravity theory.…

1/4-BPS index conjecture. The index is

1/2-BPS index conjecture. The index is

Homogeneity conjecture. All supergravity backgrounds with