N extended super bms3 algebras and generalized gravity solutions

Abstract

In this thesis we analyze the properties of asymptotically flat three dimensional space times with extended supersymmetry We then give the construction of the asymptotic algebra for the extended supersymmetric cases by two different methods first by In 246 n 252 Wigner contraction of two copies of superconformal algebra and then by an asymptotic symmetry analysis We thereafter go on to explore important physical properties like energy bounds and generic gravity solutions Finally we construct the free field realizations of the super BMS 3 systems which may be an interesting step towards understanding flat holography newline newline