## Abstract We review the recent proposal for the full string spectrum on AdS~5~ × __S__^5^ at the higher spin symmetry enhancement point and its agreement with the free SYM spectrum. The spectrum exhibits a hidden symmetry structure larger than expected, with bosonic subgroup __SO__(10,2) and thir
Higher spins and stringy AdS5 × S5
✍ Scribed by M. Bianchi
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 342 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0015-8208
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
In this lecture I review recent work done in collaboration with Beisert et al. [1‐3] (For a concise summary see [4].). After a notational flash on the AdS/CFT correspondence, I will discuss higher spin (HS) symmetry enhancement at small radius and how this is holographically captured by free N = 4 SYM theory. I will then derive the spectrum of perturbative superstring excitations on AdS in this particular limit and successfully compare it with the spectrum of single‐trace operators in free 𝒩 = 4 SYM at large N, obtained by means of Polya(kov)'s counting. Decomposing the spectrum into HS multiplets allows one to precisely identify the 'massless' HS doubleton and the lower spin Goldstone multiplets which participate in the pantagruelic Higgs mechanism, termed “La Grande Bouffe”. After recalling some basic features of Vasiliev's formulation of HS gauge theories, I will eventually sketch how to describe mass generation in the AdS bulk à la Sückelberg and its holographic implications such as the emergence of anomalous dimensions in the boundary 𝒩 = 4 SYM theory.
📜 SIMILAR VOLUMES
## Abstract In this short note we report on the dispersion relation of a new magnon type string solution in γ deformed AdS^5^ × S^5^ background. Our magnon solution has one spin in AdS^5^ part and two in S^5^ part of the background.
## Abstract We discuss the extent to which the AdS/CFT correspondence can be checked in sectors not related to supersymmetry by considering solitons in __AdS__~5~ × __S__^5^ with large quantum numbers.