Observer dependent D-brane for strings propagating in pp-wave time dependent background

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, revtex 4, added references, corrected mistakes

Scientific paper

10.1140/epjc/s10052-008-0569-7

We study type IIB superstring in the 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 which relates the asymptotically flat string Hilbert space, defined at $t =\pm \infty$, 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 to the singularity see the original vacuum.

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