Localizing gravity on Maxwell gaugedCP1model in six dimensions

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We shall consider a 3-brane embedded in six-dimensional space-time with a negative bulk cosmological constant. The 3-brane is constructed by a topological soliton solution living in two-dimensional axially symmetric transverse subspace. Similar to most previous works of six-dimensional soliton models, our Maxwell gauged $\mathbb{C}{P}^{1}$ brane model can also achieve localizing gravity around the 3-brane. The $\mathbb{C}{P}^{1}$ field is described by a scalar doublet and derived from the $O(3)$ sigma model by projecting it onto two-dimensional complex space. In that sense, our framework is more effective than other solitonic brane models concerning gauge theory. We shall also discuss the linear stability analysis for our new model by fluctuating all fields.