AdS/CFT in superspace

Abstract

We relate the 10D IIB superstring (primarily free supergravity) expanded about AdS_5\timesS^5 to 4D N=4 Yang-Mills directly in superspace. The sphere becomes the CFT internal space of projective superspace, plus a coordinate counting the number of supergluons. The 32 fermionic coordinates of AdS become the 8 of the CFT in a spacecone gauge that manifestly preserves SO(3,1).SO(4). The PSU(2,2|4) algebra of AdS becomes the projective representation (plus the extra coordinate) on the boundary. (A review of projective superspace and the projective lightcone limit is included for self-containment.)

34 pages, no figures; v2: minor corrections

References in corpus (2)

• Deriving Projective Hyperspace from Harmonic
• Superconformal spaces and implications for superstrings

Cited by in corpus (2)

• On Projective Hoops: Loops in Hyperspace
• Spacecone quantization of AdS superparticle