Advances in Theoretical and Mathematical Physics

Definition of the Dirac sea in the presence of external fields

Duality without supersymmetry

Vanishing of intersection numbers on the moduli space of Higgs bundles

The heterotic string, the tangent bundle and derived categories

On the dynamics of Einstein’s equations in the Ashtekar formulation

Prepotential, mirror map and $F$-theory on $K3$

Generalized Spencer cohomology and filtered deformations of $\mathbb{Z}$-graded Lie superalgebras