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Fermionic T-duality in the pp-wave limit

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Abstract

AdS 5 × S 5 and its pp-wave limit are self-dual under transformations involving eight fermionic T-dualities, a property which accounts for symmetries seen in scattering amplitudes in \( \mathcal{N} = 4 \) super-Yang-Mills. Despite strong evidence for similar symmetries in the amplitudes of three-dimensional \( \mathcal{N} = 6 \) ABJM theory,a corresponding self-duality in the dual geometry \( Ad{S_4} \times \mathbb{C}{P^3} \) currently eludes us. Here, working with the type IIA pp-wave limit of \( Ad{S_4} \times \mathbb{C}{P^3} \) preserving twenty four supercharges, we show that the pp-wave is self-dual with respect to eight commuting fermionic T-dualities and not the six expected. In addition, we show the same symmetry can be found in a superposition pp-wave and a generic pp-wave with twenty and sixteen unbroken supersymmetries respectively, strongly suggesting that self-duality under fermionic T-duality may be a symmetry of all pp-waves.

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Author information

Authors and Affiliations

  1. Queen Mary University of London, Centre for Research in String Theory, School of Physics, Mile End Road, London, E1 4NS, England, U.K.

    Ilya Bakhmatov

  2. Korea Institute for Advanced Study, Seoul, 130-722, Korea

    Eoin Ó Colgáin

  3. Department of Physics, Kyung Hee University, Seoul, 130-701, Korea

    Hossein Yavartanoo

Authors
  1. Ilya Bakhmatov
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  2. Eoin Ó Colgáin
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  3. Hossein Yavartanoo
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Correspondence to Hossein Yavartanoo.

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ArXiv ePrint: 1109.1052

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Bakhmatov, I., Colgáin, E.Ó. & Yavartanoo, H. Fermionic T-duality in the pp-wave limit. J. High Energ. Phys. 2011, 85 (2011). https://doi.org/10.1007/JHEP10(2011)085

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