37 citations · 174 across the 19 of their papers we have counts for
19 papers
Vortex Solutions for A Mixed Boundary-Value Problem in the Abelian-Higgs Model with A Neutral Scalar Field
Guange Su, Xiaosen Han
Vortices represent a class of topological solitons arising in gauge theories coupled with complex scalar fields, holding significant importance across various domains of modern phy…
Existence of Gauged Q-balls for A Field Model with Sixth-order Potential
Xiaosen Han, Guange Su
Q-balls are non-topological solitons in a large family of field theories. We focus on the existence of gauged Q-balls for a field theory with sixth-order potential. The prob…
Bisections and cocycles on Hopf algebroids
Xiao Han, Shahn Majid
We introduce and study the group of bisections of a Hopf algebroid and show that they form a group crossed module or 2-group with the group…
Hopf-Galois extensions and twisted Hopf algebroids
Xiao Han, Shahn Majid
We show that the Ehresmann-Schauenburg bialgebroid of a quantum principal bundle or Hopf Galois extension with structure quantum group is in fact a left Hopf algebroid $L(P…
Existence of global vortices in a class of Ginzburg-Landau models
Xiaosen Han, Kexin Zhang
In this paper, the two-component Ginzburg-Landau (TCGL) model, which is an important research object in mathematics and physics of two scalar fields with symmetry…
Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
Xiaosen Han, Genggeng Huang, Yisong Yang
In this paper we first formulate a dually gauged harmonic map model, suggested from a product Abelian Higgs field theory arising in impurity-inspired field theories, and obtain a n…
Multiple Solutions for the Non-Abelian Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs -system: \[ Δu_i=λ\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u…
Non-topological Vortex Configurations in the ABJM Model
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of vortex-type solutions for a system of self-dual equations deduced from the mass-deformed Aharony--Bergman--Jafferis--Maldacena (ABJM) model.…
Magnetic Impurity Inspired Abelian Higgs Vortices
Xiaosen Han, Yisong Yang
Inspired by magnetic impurity considerations some broad classes of Abelian Higgs and Chern--Simons--Higgs BPS vortex equations are derived and analyzed.
Relativistic Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Yisong Yang
An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group a…
Topologically Stratified Energy Minimizers in a Product Abelian Field Theory
Xiaosen Han, Yisong Yang
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 existenc…
Resolution of Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Chang-Shou Lin, Yisong Yang
It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern--Simons--Higgs vortex equations makes it difficult to develop an existence theory when…
Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor
Shouxin Chen, Xiaosen Han, Gustavo Lozano +1
In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group and flavor SU(N), these symmetries ensuring the e…
Chern--Simons Vortices in the Gudnason Model
Xiaosen Han, Chang-Shou Lin, Gabriella Tarantello +1
We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the supersymmetric field theory where non-Abelian gauge fields are gov…
Doubly Periodic Self-Dual Vortices for a Relativistic Non-Abelian Chern--Simons Model
Xiaosen Han, Gabriella Tarantello
In this paper we establish a multiplicity result concerning the existence of doubly periodic solutions for a nonlinear elliptic system arising in the study of self-dual…
Existence Theorems for Vortices in the Aharony--Bergman--Jaferis--Maldacena Model
Xiaosen Han, Yisong Yang
A series of sharp existence and uniqueness theorems are established for the multiple vortex solutions in the supersymmetric Chern--Simons--Higgs theory formalism of Aharony, Bergma…
Existence of Doubly Periodic Vortices in a Generalized Chern--Simons Model
Xiaosen Han
We establish an existence theorem for the doubly periodic vortices in a generalized self-dual Chern--Simons model. We show that there exists a critical value of the coupling parame…
The Existence of Multi-vortices for a Generalized Self-dual Chern-Simons Model
Xiaosen Han
In this paper we establish the existence of multi-vortices for a generalized self-dual Chern--Simons model. Doubly periodic vortices, topological and non-topological vortex solutio…
A Sharp Existence Theorem for Vortices in the Theory of Branes
Xiaosen Han
We investigate the BPS equations arising from the theory of multi-intersection of D-branes. By using the direct minimization method, we establish sharp existence and uniqueness the…