AdS_5 x S^5 Untwisted

TL;DR

This paper explores a duality chain connecting super Yang-Mills theory to M-theory on various AdS_5 backgrounds, revealing supersymmetry breaking mechanisms involving stringy winding modes.

Contribution

It constructs a novel duality chain involving T-duality and untwisting of S^5, illustrating supersymmetry without supersymmetry through stringy effects.

Findings

Demonstrates T-duality untwists S^5 to CP^2 x S^1.

Shows supersymmetry breaking with missing superpartners from winding modes.

Provides examples of IIB compactifications with varying supersymmetry levels.

Abstract

Noting that T-duality untwists S^5 to CP^2 x S^1, we construct the duality chain: n=4 super Yang-Mills --> Type IIB superstring on AdS_5 x S^5 --> Type IIA superstring on AdS_5 x CP^2 x S^1 --> M-theory on AdS_5 x CP^2 x T^2. This provides another example of supersymmetry without supersymmetry: on AdS_5 x CP^2 x S^1, Type IIA supergravity has SU(3) x U(1) x U(1) x 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.