The correspondences between logarithmic operators in the CFTs on the boundary of AdS3 and on the world-sheet and dipole fields in the bulk are studied using the free field formulation of the SL(2, C)/SU(2) WZNW model. We find that logarithmic operators on the boundary are related to operators on the world-sheet which are in indecomposable representations of SL(2). The Knizhnik-Zamolodchikov equ...

Using the AdS-CFT correspondence we calculate the two point function of CFT energy momentum tensors. The AdS gravitons are considered by explicitely solving the Dirichlet boundary value problem for x0 = ǫ. We consider this treatment as complementary to exising work, with which we make contact. Email address: [email protected] Email address: [email protected] 1

The equilibrium thermodynamic properties of the SU(N) plasma are studied nonperturbatively in the large-N limit, via high-precision lattice simulations at temperatures from 0.8T(c) to 3.4T(c) (T(c) being the critical deconfinement temperature). Our results for SU(N) Yang-Mills theories with N=3, 4, 5, 6, and 8 colors show a very mild dependence on N, supporting the idea that the QCD plasma coul...

In this paper we statistically analyze the Fokker-Planck (FP) equation of Schramm-Loewner evolution (SLE) and its variant SLE(κ,ρc). After exploring the derivation and the properties of the Langevin equation of the tip of the SLE trace, we obtain the long- and short-time behaviors of the chordal SLE traces. We analyze the solutions of the FP and the corresponding Langevin equations and connect ...

We discuss the relation between singletons in AdS 3 and logarithmic operators in the CFT on the boundary. In 2 dimensions there can be more logarithmic operators apart from those which correspond to singletons in AdS, because logarithmic operators can occur when the dimensions of primary fields differ by an integer instead of being equal. These operators may be needed to account for the greybod...

We formulate the Hopf algebra underlying the su(2|2) S-matrix relevant for the AdS/CFT correspondence, extending the one discovered by Janik in the su(1|2) sector to the full algebra, by specifying the action of the coproduct and the antipode on the remaining generators. The nontriviality of the coproduct is determined by the lenght-changing effect, and results in an unusual central braiding. W...

The validity of the Bianchi identity, which is intimately connected with the zig zag symmetry, is established, for piecewise continuous contours, in the context of Polakov’s gauge field-string connection in the large ’tHooft coupling limit, according to which the chromoelectric ‘string’ propagates in five dimensions with its ends attached on a Wilson loop in four dimensions. An explicit check i...

We construct a conformal supergravity using the AdS/CFT correspondence. We derive the five dimensional conformal supergravity which plays the role of sources for the operators in five dimensional SCFT. ∗e-mail: [email protected]

The macroscopic examination revealed a yellowish-brown nodular mass, and histopathology showed a multinodular neoplasm that was partially surrounded by a fibrous capsule. The mass was composed of ovoid histiocytes with a vesicular nucleus, mixed with prominent multinucleated giant cells within a hyalinized fibrous stroma. Foam cells, siderophores, and mononuclear cells were also observed (Figur...