Abstract

Noting that T-duality untwists S 5 to CP 2 × S 1, we construct the duality chain: n = 4 super Yang-Mills → type IIB superstring on AdS 5 × S 5 → type IIA superstring on AdS 5 × CP 2 × S 1 → M-theory on AdS 5 × CP 2 × T 2. This provides another example of supersymmetry without supersymmetry: on AdS 5 × CP 2 × S 1, type IIA supergravity has SU(3) × U(1) × U(1) × U(1) and N = 0 supersymmetry but type IIA string theory has SO(6) and N = 8. The missing superpartners are provided by stringy winding modes. We also discuss IIB compactifications to AdS 5 with N = 4, N = 2 and N = 0.

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