The Penrose limit of AdS*S space and holography

Details The Penrose limit of AdS*S space and holography The Penrose limit of AdS*S space and holography

2002-12-13

arxiv.org/abs/hep-th/0212165v2

Mod.Phys.Lett. A19 (2004) 887-895

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, improved discussion, to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732304013891

In the Penrose limit, AdS*S space turns into a Cahen-Wallach (CW) space whose Killing vectors satisfy a Heisenberg algebra. This algebra is mapped onto the holographic screen on the boundary of AdS. I show that the Heisenberg algebra on the boundary of AdS may be obtained directly from the CW space by appropriately constraining the states defined on it. The transformations generated by the constraint are similar to gauge transformations. The ``holographic screen'' on the CW space is thus obtained as a ``gauge-fixing'' condition.

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