4 problems

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…

Consider the action functional leading to Born–Infeld nonlinear electromagnetism. It is duality-rotation invariant off shell and is known to be a root of an algebraic equation of f…

Let a duality group act on the charges of BPS black holes. In the $S^3$ model, regular BPS charges are described as invariant under a finite subgroup, specifically a $\mathbb{Z}_3$…

The real generalized Pauli operators of three qubits are identified with the points of the split Cayley hexagon of order two, whose full automorphism symmetry is denoted $G_2(2)$.…