Special Session 151: 

Bubbling solutions for the gravitational $O(3)$ model in $mathbb R^2$

Nari Choi
Ewha Womans University
Korea
Co-Author(s):    Jongmin Han
Abstract:
In this talk, we construct nontopological bubbling solutions of self-dual equation for the Maxwell gauged $O(3)$ sigma model coupled with gravity in $mathbb R^2$. Our solutions blow up at some point of the anti-string, $\\\\{p_j\\\\}_{j=1}^{d_2}$ as the coupling parameter tends to zero and they are asymptotically radial near each blow-up point.