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 (11)

• Type IIB superstring action in AdS_5 x S^5 background
• K-K excitations on AdS_5 x S^5 as N=4 ``primary'' superfields
• Holography in Superspace
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• Deriving Projective Hyperspace from Harmonic
• Classical AdS Superstring Mechanics
• Covariant propagator in AdS5 x S5 superspace
• On the propagator of a scalar field in AdS x S and in its plane wave limit
• A new holographic limit of AdS5 x S5
• Superconformal spaces and implications for superstrings

Cited by in corpus (16)

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• Embedding vs. 6D twistors
• On Projective Hoops: Loops in Hyperspace
• Multitwistor mechanics of massless superparticle on $Ad{S}_5\times S^5$ superbackground
• Improved Methods for Hypergraphs
• N=2 Super-Yang-Mills Theory from a Chern-Simons Action
• Pre-potential in the $Ad{S}_5\times S^5$ Type IIB superspace
• New Formulation of the Type IIB Superstring Action in $Ad{S}_5\times S^5$
• Spacecone quantization of AdS superparticle
• Oscillator approach to quantization of $Ad{S}_5\times S^5$ superparticle in twistor formulation
• Systematizing semi-shortening
• Supertwistor description of the $AdS$ pure spinor string
• S-matrices from 4d worldvolume