A gas of N Bogomol'nyi vortices in the Abelian Higgs model is studied on a compact
Riemann surface of genus g and area A. The volume of the moduli space is computed and …

We propose a novel and simple method to compute the partition function of statistical
mechanics of local and semi-local BPS vortices in the Abelian–Higgs model and its non …

arXiv:1510.07077v1 [hep-th] 23 Oct 2015 Page 1 Prepared for submission to JHEP Magnetic
Impurity Inspired Abelian Higgs Vortices Xiaosen Hana,b and Yisong Yangc,d,1 aInstitute of …

We evaluate volume of moduli space of BPS vortices on a compact genus h Riemann
surface Σh by using topological field theory and localization technique developed by Moore …

We investigate the geometry of the moduli space of N vortices on line bundles over a closed
Riemann surface Σ of genus g> 1, in the little explored situation where 1≤ N< g. In the …

We show that the solutions of the Bogomolny equations for the abelian Higgs model on a
two-dimensional torus, can be expanded in powers of a quantity epsilon measuring the …

The metric and potential energy on the reduced moduli space of selfdual vortices in the
Abelian Higgs model on S^2 are computed in a certain limit, first identified by Bradlow. In …

We study a recently developed product Abelian gauge field theory by Tong and Wong
hosting magnetic impurities. We first obtain a necessary and sufficient condition for the …

The metric on the moduli space of one abelian Higgs vortex on a surface has a natural
geometrical evolution as the Bradlow parameter, which determines the vortex size, varies. It …

Let X be a compact connected Riemann surface of genus g, with g≥ 2. For each d< η (X),
where η (X) is the gonality of X, the symmetric product Sym d (X) embeds into Pic d (X) by …