\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
We review the construction of phase space for the near horizon extremal geometries (NHEG) as solutions to Einstein gravity. We study the symplectic symmetries of this phase space and compute their corresponding conserved charges. We show that the symmetry algebra is an interesting generalization of Virasoro algebra. The analysis is based on covariant phase space method.
\end{document}