Open AccessProtected Multiplets of M-Theory on a Plane Wave
Author(s) -
Keshav Dasgupta,
M. M. Sheikh-Jabbari,
Mark Van Raamsdonk
Publication year - 2002
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 - 10.1088/1126-6708/2002/09/021
Subject(s) - physics , lie superalgebra , limit (mathematics) , mathematical physics , quantum mechanics , excited state , superalgebra , spectrum (functional analysis) , matrix (chemical analysis) , symmetry (geometry) , m theory , multiplet , representation theory , supersymmetry , algebra over a field , supergravity , pure mathematics , mathematics , spectral line , affine lie algebra , current algebra , mathematical analysis , materials science , composite material , geometry
We show that the symmetry algebra governing the interacting part of thematrix model for M-theory on the maximally supersymmetric pp-wave is the basicclassical Lie superalgebra SU(4|2). We determine the SU(4|2) multiplets presentin the exact spectrum in the limit where \mu (the mass parameter) becomesinfinite, and find that these include infinitely many BPS multiplets. Using therepresentation theory of SU(4|2), we demonstrate that some of these BPSmultiplets, including all of the vacuum states of the matrix model plus certaininfinite towers of excited states, have energies which are exactly protectednon-perturbatively for any value of \mu > 0. In the large N limit, these leadto exact quantum states of M-theory on the pp-wave. We also show explicitlythat there are certain BPS multiplets which do receive energy corrections bycombining with other BPS multiplets to form ordinary multiplets.Comment: Latex file, 30 eps figures, 42 pages. v3: Minor corrections in section
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