We find a new Penrose limit of AdS_5 × S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries. This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors. In particular whereas the Penrose limit giving one space-like isometry is useful for the SU(2) sector of N = 4 SYM, this new Penrose limit is instead useful for studying the SU(2|3) and SU(1, 2|3) sectors. In addition to the new Penrose limit of AdS_5 × S^5 we also find a new Penrose limit of AdS_4 × CP^3.
New Penrose Limits and AdS/CFT
GRIGNANI, Gianluca;MARINI, ANDREA;ORSELLI, MARTA
2010
Abstract
We find a new Penrose limit of AdS_5 × S^5 giving the maximally supersymmetric pp-wave background with two explicit space-like isometries. This is an important missing piece in studying the AdS/CFT correspondence in certain subsectors. In particular whereas the Penrose limit giving one space-like isometry is useful for the SU(2) sector of N = 4 SYM, this new Penrose limit is instead useful for studying the SU(2|3) and SU(1, 2|3) sectors. In addition to the new Penrose limit of AdS_5 × S^5 we also find a new Penrose limit of AdS_4 × CP^3.File in questo prodotto:
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