Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-02-18
Phys.Rev.D65:126004,2002
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, latex. v4: minor sign corrections in (1.5) and (3.62), to appear in PRD
Scientific paper
10.1103/PhysRevD.65.126004
We describe in detail the solution of type IIB superstring theory in the maximally supersymmetric plane-wave background with constant null Ramond-Ramond 5-form field strength. The corresponding light-cone Green-Schwarz action found in hep-th/0112044 is quadratic in both bosonic and fermionic coordinates. We find the spectrum of the light-cone Hamiltonian and the string representation of the supersymmetry algebra. The superstring Hamiltonian has a ``harmonic-oscillator'' form in both the string-oscillator and the zero-mode parts and thus has discrete spectrum in all 8 transverse directions. We analyze the structure of the zero-mode sector of the theory, establishing the precise correspondence between the lowest-lying ``massless'' string states and the type IIB supergravity fluctuation modes in the plane-wave background. The zero-mode spectrum has certain similarity to the supergravity spectrum in AdS_5 x S^5 of which the plane-wave background is a special limit. We also compare the plane-wave string spectrum with expected form of the light-cone gauge spectrum of superstring in AdS_5 x S^5.
Metsaev R. R.
Tseytlin Arkady A.
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