arXiv subjects

Shouxin Chen

Publications and source records attributed to Shouxin Chen.

20 records · Page 2Linked to original sources

arXiv2012

Existence of Non-Abelian Vortices in the Aharony--Bergman--Jafferis--Maldacena Theory

Vortices in non-Abelian gauge field theory play important roles in confinement mechanism and are governed by systems of nonlinear elliptic equations of complicated structures. In this paper, we present a series of existence and uniqueness theorems for multiple vortex solutions of the non-Abelian BPS vortex equations over R^2 and on a doubly periodic domain. Our methods are based on calculus of variations and a fixed-point argument. The necessary and sufficient conditions for the existence of a unique solution in the doubly periodic situation are explicitly expressed in terms of several physical parameters involved.

math-ph↗

arXiv2010

Existence and uniqueness of generalized monopoles in six-dimensional non-Abelian gauge theory

In this paper, we established the existence and uniqueness of the spherically symmetric monopole solutions in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski space-time and obtain sharp asymptotic estimates for the solutions. Our method is based on a dynamical shooting approach that depends on two shooting parameters which provides an effective framework for constructing the generalized monopoles in six-dimensional Minkowski space-time.

math-ph↗