Jul, 2003
Ground state of the supermembrane on a pp wave
PHYSICAL REVIEW D
- ,
- ,
- Volume
- 68
- Number
- 2
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1103/PhysRevD.68.026001
- Publisher
- AMERICAN PHYSICAL SOC
We consider the ground state of a supermembrane on the maximally supersymmetric pp-wave background by using the quantum-mechanical procedure of de Wit, Hoppe, and Nicolai. On the pp-wave background the ground state has a nontrivial structure even in the zero-mode Hamiltonian. The supergravity multiplet in flat space comes to split with a certain energy difference. We explicitly derive the supersymmetric ground-state wave function for the zero-mode Hamiltonian, which is obviously normalizable. Moreover, we discuss the nonzero-mode Hamiltonian and construct an example of the ground-state wave function with the truncation of variables, whose L-2 norm can be represented by an asymptotic series.
- Link information
- ID information
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- DOI : 10.1103/PhysRevD.68.026001
- ISSN : 0556-2821
- Web of Science ID : WOS:000185229300092