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Extensions ofAdS5×S5and the plane-wave superalgebras and their realization in the tiny graviton matrix theory

2005/12/24 by Mohammad Ali-Akbari, M. Ali-Akbari, M. M. Sheikh-Jabbari +2 · 9 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Graviton #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Realization (probability) #Superalgebra #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/03/065

published in Journal of High Energy Physics 2006(03), 065 (Springer Nature) · 27 pages, LaTeX

arxiv created 2005/12/24 · openalex publication_date 2006/03/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper we consider all consistent extensions of the AdS5 x S5 superalgebra, psu(2,2|4), to incorporate brane charges by introducing both bosonic and fermionic (non)central extensions. We study the Inonu-Wigner contraction of the extended psu(2,2|4) under the Penrose limit to obtain the most general consistent extension of the plane-wave superalgebra and compare these extensions with the possible BPS (flat or spherical) brane configurations in the plane-wave background. We give an explicit realization of some of these extensions in terms of the Tiny Graviton Matrix Theory (TGMT)[hep-th/0406214] which is the 0+1 dimensional gauge theory conjectured to describe the DLCQ of strings on the AdS5 x S5 and/or the plane-wave background.

Citations