Fermionic T-duality in the pp-wave limit

Details Fermionic T-duality in the pp-wave limit Fermionic T-duality in the pp-wave limit

2011-09-06

arxiv.org/abs/1109.1052v2

JHEP 1110:085, 2011

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, typos fixed

Scientific paper

AdS5 X S5 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 N=4 super-Yang-Mills. Despite strong evidence for similar symmetries in the amplitudes of three-dimensional N=6 ABJM theory, a corresponding self-duality in the dual geometry AdS4 X CP3 currently eludes us. Here, working with the type IIA pp-wave limit of AdS4 X CP3 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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