Fermionic T-duality in the pp-wave limit

Abstract

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.

21 pages, typos fixed

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Cited by in corpus (15)

• An alternative IIB embedding of F(4) gauged supergravity
• One Loop Amplitudes In ABJM
• A note on amplitudes in N=6 superconformal Chern-Simons theory
• Scattering in ABJ theories
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Light-like Wilson loops in ABJM and maximal transcendentality
• A Requiem for $Ad{S}_4\times \mathbb{C}{P}^3$ Fermionic self-T-duality
• Self-duality of the D1-D5 near-horizon
• ABJM amplitudes and WL at finite N
• Non-abelian fermionic T-duality in supergravity
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• N=8 SYM vs. N=6 Chern-Simons: Four-point amplitudes at two-loops
• Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory