Extensions ofAdS5×S5and the plane-wave superalgebras and their realization in the tiny graviton matrix theory
Author(s) -
Mohammad Ali-Akbari,
M. M. Sheikh-Jabbari,
Mahdi Torabian
Publication year - 2006
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2006/03/065
Subject(s) - graviton , superalgebra , physics , realization (probability) , mathematical physics , matrix (chemical analysis) , theoretical physics , quantum mechanics , pure mathematics , algebra over a field , mathematics , materials science , composite material , statistics , gravitation
In this paper we consider all consistent extensions of the AdS_5 x S^5superalgebra, psu(2,2|4), to incorporate brane charges by introducing bothbosonic and fermionic (non)central extensions. We study the Inonu-Wignercontraction of the extended psu(2,2|4) under the Penrose limit to obtain themost general consistent extension of the plane-wave superalgebra and comparethese extensions with the possible BPS (flat or spherical) brane configurationsin the plane-wave background. We give an explicit realization of some of theseextensions 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 ofstrings on the AdS_5 x S^5 and/or the plane-wave background.Comment: 27 pages, LaTe
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