10 problems

Let $B_H$ be the heterotic base, let ${\cal N}$ be the line bundle appearing in the spectral-cover description of the heterotic vector bundle, and let ${\cal M}$ be the line bundle…

Let the holomorphic theory be the ten-dimensional theory whose anomaly polynomials factorise as the heterotic-supergravity anomaly polynomials for gauge group $SO(32)$ or…

Let the effective action be invariant under an $O(d,d)$ symmetry, with the indices of the $O(d)_+$ factor ranging from $1$ to $d$. Jayaprakash et al.'s symmetry-extension conjectur…

For what follows, let $X$ be a compact complex threefold with trivial canonical bundle and a conformally balanced Hermitian metric, and let $V$ be a holomorphic vector bundle over…

M-theory–heterotic duality conjecture. One could anticipate a duality

The heterotic compactification predicts Euler characteristic $\chi=-156$, and the geometries with data $(-1;0,1,-1)$ and $(2;0,1,2)$ are genus one fibered Calabi–Yau threefolds rel…

Let $W_{4}/B_{3}$ be the elliptically fibered fourfold over the base $B_{3}$, and let the Brieskorn–Grothendieck equivariant crepant resolution of the semi-universal deformation of…

Moonshine-module heterotic theory conjecture. Such a theory can be found by making this replacement.

Let $X_0$ be the smooth compact zeroth-order geometry in the $\alpha'$ expansion of a heterotic compactification, and let $J=J_0$ be its unexpanded complex structure. The associate…

Let $X$ be the compactification space with balanced Gauduchon form $\hat\omega$, and let $V=\bigoplus_i V_i$ be a polystable gauge bundle whose stable summands have slopes … In the…