We calculate the statistical entropy of a scalar field on the background of three-dimensional De Sitter space in terms of the brick wall method and finally derive the perimeter law of the entropy. ∗Electronic address: [email protected] 1 Entropy of black holes has an universal area law [1] and the entropy of the well-known Schwarzschild black hole satisfies the area law by means of thermal...

We give a Hamiltonian definition of mass for spacelike hypersurfaces in spacetimes with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We present the results of another paper (Chruściel P T and Nagy G 2001b, in preparation) which show that our definition provides a geometric invariant for a spacelike hypersurface S embedded in a space-time (M, ...

In the five-dimensional Einstein gravity with negative cosmological constant in the presence/absence of a non-fine-tuned 3-brane, we have investigated the classical stability of black string solutions which are foliations of four-dimensional AdS/dS-Schwarzschild black holes. Such black strings are generically unstable as in the well-known Gregory-Laflamme instability. For AdS black strings, how...

We consider the Penrose limit of the solution of D5-brane given in the Anti-de Sitter space and analyse the shape of the D5-brane in the pp-wave background. We find that the D5-brane leads to the branes and the throats connecting the branes. The branes spread on R with periodic values of the light-cone time x and the throats lie along x. We also give some comments on holography. May 2002 † seki...

This paper collects the various ways of computing the central charge c = 3l/2G arising in 3d asymptotically anti-de Sitter spaces, in the Chern-Simons formulation. Their similarities and differences are displayed. On leave from Centro de Estudios Cient́ıficos de Santiago, Casilla 16443, Santiago, Chile and, Departamento de F́ısica, Universidad de Santiago, Casilla 307, Santiago, Chile.

We consider (3 + 1)-dimensional N = 4 super Yang-Mills theory with a nonvanishing scalar Higgs vacuum expectation value, and compare this theory to AdS supergravity with branes in the bulk. We show that the one-loop effective potential for excitations of the Yang-Mills field agrees with the classical linearized potential for brane waves in the AdS picture in the limit of long wavelengths. This ...

We study supersymmetry breaking caused by branes on anti-de Sitter space and obtain conditions for brane configuration not to break too many supersymmetries. Using the conditions, we construct a brane configuration corresponding to a baryon in large N gauge theory, and it is shown that the baryon is marginal bound state of quarks as is expected from supersymmetry. ∗[email protected]

The dual relationship between the supergravity in the anti-de Sitter(AdS) space and the superconformal field theory is discussed in the simplest form We show that a topological Ward identity holds in the three dimensional Chern-Simons gravity. In this simple case the proposed dual relationship can be understood as the topological Ward identity. Extensions to the supersymmetric theories and high...

We implement the SU(5)/SO(5) littlest Higgs theory in a slice of 5D Anti-de Sitter space bounded by a UV brane and an IR brane. In this model, there is a bulk SU(5) gauge symmetry that is broken to SO(5) on the IR brane, and the Higgs boson is contained in the Goldstones from this breaking. All of the interactions on the IR brane preserve the global symmetries that protect the Higgs mass, but a...

The κ-deformation of the 2+1 anti-de Sitter, Poincaré and de Sitter groups is studied within a unified approach by considering explicitly the curvature of the spacetime (cosmological constant) as a parameter. The Drinfel’d-double construction as well as the Poisson–Lie structure underlying the κ-deformation are explicitly given, and the three quantum groups are obtained as Weyl quantizations of...