Abstract
We study the type IIB superstring in a pp-wave time-dependent background, which has a singularity at t=0. We show that this background can provide a toy model to study some ideas related to the stretched horizon paradigm and the complementary principle of black holes. To this end, we construct a unitary Bogoliubov generator that relates the asymptotically flat string Hilbert space, defined at t=±∞, to the finite time Hilbert space. For asymptotically flat observers, the closed string vacuum close to the singularity appears as a boundary state, which is in fact a D-brane described in the closed string channel. However, observers who go with the string towards the singularity see the original vacuum.
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Marchioro, D., Nedel, D. Observer-dependent D-brane for strings propagating in pp-wave time-dependent background. Eur. Phys. J. C 55, 343–347 (2008). https://doi.org/10.1140/epjc/s10052-008-0569-7
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DOI: https://doi.org/10.1140/epjc/s10052-008-0569-7