Holography for $$ \mathcal{N} $$ = 4 on $$ \mathbbm{RP} $$4

2 00 4 Holography , Entropy and Extra Dimensions

We show that higher dimensional models (brane worlds) in which the scale of quantum gravity M∗ is much smaller than the apparent scale MP ∼ 1019 GeV violate the covariant entropy bound arising from holography. The thermodynamic entropies of astrophysical black holes and sub-horizon volumes during big bang nucleosynthesis exceed the relevant bounds unless M∗ > 10 (4−6) TeV, so a hierarchy relati...

Higher spin symmetry ( breaking ) in N = 4 SYM and holography ∗

I concisely review the results of [1–3] that shed some light on " La Grande Bouffe " 1 , the pantagruelic Higgs mechanism, whereby HS gauge fields in the AdS bulk eat lower spin Goldstone fields, and on its holographic implications such as the emergence of anomalous dimensions in the boundary N=4 SYM theory. Formulating the dynamics of higher spin (HS) fields is a long standing problem, see e.g...

Holography of the N = 1 Higher - Spin Theory on AdS 4

We argue that the N = 1 higher-spin theory on AdS4 is holographically dual to the N = 1 supersymmetric critical O(N) vector model in three dimensions. This appears to be a special form of the AdS/CFT correspondence in which both regular and irregular bulk modes have similar roles and their interplay leads simultaneously to both the free and the interacting phases of the boundary theory. We stud...

Synthesis and characterization of some novel linear azo-azomethine compounds based on 1-bromo, 4-4-4-nitrophenylazo phenoxy butane

The reaction of some carbocyclic and heterocyclic Schiff bases with the synthesized 1-bromo, 4-[4-(4-nitrophenylazo) phenoxy] butane and formation of novel linear azo-azomethine compounds in good to excellent yields were investigated. The compounds were fully characterized by UV-Vis, FT-IR, 1H NMR spectroscopic techniques and elemental analysis. Effects of various solvents on their visible abso...

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