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New Penrose limits and AdS/CFT

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Abstract

We find a new Penrose limit of AdS5 × 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 \( \mathcal{N} = 4 \) 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 AdS5 × S 5 we also find a new Penrose limit of \( {\text{Ad}}{{\text{S}}_4} \times \mathbb{C}{P^3} \).

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Perugia, I.N.F.N. Sezione di Perugia, Via Pascoli, I-06123, Perugia, Italy

    Gianluca Grignani & Andrea Marini

  2. NORDITA, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden

    Troels Harmark

  3. The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark

    Marta Orselli

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  1. Gianluca Grignani
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  2. Troels Harmark
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  3. Andrea Marini
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  4. Marta Orselli
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Correspondence to Troels Harmark.

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ArXiv ePrint: 0912.5522

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Grignani, G., Harmark, T., Marini, A. et al. New Penrose limits and AdS/CFT. J. High Energ. Phys. 2010, 34 (2010). https://doi.org/10.1007/JHEP06(2010)034

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