Higher Spin Gauge Theories: Star-Product and AdS Space
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In this article, the authors review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of high spin currents and explicit solutions of the massless equations.Abstract:
We review the theory of higher spin gauge fields in 2+1 and 3+1 dimensional anti-de Sitter space and present some new results on the structure of higher spin currents and explicit solutions of the massless equations. A previously obtained d=3 integrating flow is generalized to d=4 and is shown to give rise to a perturbative solution of the d=4 nonlinear higher spin equations. A particular attention is paid to the relationship between the star-product origin of the higher spin symmetries, AdS geometry and the concept of space-time locality.read more
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AdS dual of the critical O(N) vector model
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An AdS_3 Dual for Minimal Model CFTs
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References
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Spinors and space-time
Roger Penrose,Wolfgang Rindler +1 more
TL;DR: The calculus of 2-spinors was introduced and systematically developed in this article, which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations.
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Noncommutative Geometry and Matrix Theory: Compactification on Tori
Alain Connes,Michael R. Douglas,Michael R. Douglas,Albert Schwarz,Albert Schwarz,Albert Schwarz +5 more
TL;DR: In this paper, the authors studied toroidal compactification of Matrix theory, using ideas and results of non-commutative geometry, and argued that they correspond in supergravity to tori with constant background three-form tensor field.