Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-05
JHEP 0209:021,2002
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 30 eps figures, 42 pages. v3: Minor corrections in section 7
Scientific paper
10.1088/1126-6708/2002/09/021
We show that the symmetry algebra governing the interacting part of the matrix model for M-theory on the maximally supersymmetric pp-wave is the basic classical Lie superalgebra SU(4|2). We determine the SU(4|2) multiplets present in the exact spectrum in the limit where \mu (the mass parameter) becomes infinite, and find that these include infinitely many BPS multiplets. Using the representation theory of SU(4|2), we demonstrate that some of these BPS multiplets, including all of the vacuum states of the matrix model plus certain infinite towers of excited states, have energies which are exactly protected non-perturbatively for any value of \mu > 0. In the large N limit, these lead to exact quantum states of M-theory on the pp-wave. We also show explicitly that there are certain BPS multiplets which do receive energy corrections by combining with other BPS multiplets to form ordinary multiplets.
Dasgupta Keshav
Raamsdonk Mark Van
Sheikh-Jabbari Mohammad M.
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