Strings on type IIB pp-wave backgrounds with interacting massive theories on the worldsheet

Abstract

We consider superstring theories on pp-wave backgrounds which result in an integrable $\mathcal{N}=(2,2)$ supersymmetric Landau-Ginzburg theory on the worldsheet. We obtain exact eigenvalues of the light-cone gauge superstring hamiltonian in the massive and interacting world-sheet theory with superpotential $Z^3-Z$. We find the modes of the supergravity part of the string spectrum, and their space-time interpretation. Because the system is effectively at strong coupling on the worldsheet, these modes are not in one-to-one correspondence with the usual type IIB supergravity modes in the $p_{-}\to 0$ limit. However, the above correspondence holds in the ${\alpha }^{\prime }\to 0$ limit.

20 pages, 1 figure; minor changes, comments added

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Cited by in corpus (1)

• Integrability of the N=2 boundary sine-Gordon model