To every abelian subvariety of a principally polarized abelian variety (A,L) we canonically associate a numerical class in the Néron–Severi group of A.We prove that these classes are characterized by their intersection ...

A formula for computing the discriminant of any Abelian number field K is given. It is presented as a function of the conductor m of K and of the degrees of the fields K boolean AND Q(zeta(p)alpha) over Q, where p runs ...

Let p be a prime number. A formula for the minimum absolute value of the discriminant of all Abelian extensions of Q of degree p(2) is given in terms of p.

We explore vorton solutions in the Witten’s U(1)×U(1) model for cosmic strings and in a modified version U(1)×SO(3) obtained by introducing a triplet of non-Abelian fields to condense inside the string. We restrict to the ...

In applications of AdS/CFT to condensed matter systems in 2+1 dimensions, the ABJM model is often used; however, the condensed matter models are usually abelian and contain charged fields. We show that a naive reduction ...

We study a fully back-reacted non-abelian vortex solution in an extension of the holographic superconductor setup. The thermodynamic properties of the vortex are computed. We show that, in some regime of parameters, the ...

We consider the backgrounds obtained by Abelian and non-Abelian T-duality applied on AdS5 × S5. We study geodesics, calculate Penrose limits and find the associated plane-wave geometries. We quantise the weakly coupled ...