شماره ركورد كنفرانس :
4821
عنوان مقاله :
Asymptotic Symmetry Algebras of $3d$ Spacetimes: Deformation and Stability [1]
پديدآورندگان :
Farahmand Parsa A. a.parsa@ipm.ir School of Mathematics, TATA Institute of Fundamental Research (TIFR) , Safari H. R. hrsafari@ipm.ir School of Physics, Institute for Research in Fundamental Sciences (IPM) , Sheikh-Jabbari M. M. jabbari@theory.ipm.ac.ir School of Physics, Institute for Research in Fundamental Sciences (IPM)
كليدواژه :
Asymptotic symmetry algebra , Virasoro , bms3 , deformation , rigidity
عنوان كنفرانس :
سومين كنفرانس ملي فيزيك رياضي ايران
چكيده فارسي :
We study rigidity and stability of infinite dimensional algebras which are appearing as asymptotic symmetries of three dimensional spacetimes, the bms3, u (1) Kac-Moody and Virasoro algebras. We construct and classify the family of algebras which appear as deformations of bms3, u (1) Kac-Moody and their central extensions by direct computations and also by cohomological computations. The Virasoro algebra appears as a specific member in this family of rigid algebras; for this case stabilization procedure is inverse of the Inonu-Wigner contraction relating Virasoro to (bms) algebra. We comment on the physical meaning of deformation and stabilization of these algebras and relevance of the family of rigid algebras we obtain.
