The Penrose limit of AdS*S space and holography
arXiv:hep-th/0212165 · doi:10.1142/S0217732304013891
Abstract
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.
12 pages, improved discussion, to appear in Mod. Phys. Lett. A
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