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Research into the development of invisibility devices has spurred two physicists' thought on the behaviour of light to overcome the seemingly intractable problem of optical singularities which could soon lead to the manufacturing of a perfect cat's eye.

Loop quantum cosmology (LQC) seems to be predicting modified effectiveFriedmann equations without extra degrees of freedom. A puzzle arises if onedecides to seek for a covariant effective action which would lead to the givenFriedmann equation: The Einstein--Hilbert action is the

We develop a hydrodynamic description of the classical Calogero-Sutherlandliquid: a Calogero-Sutherland model with an infinite number of particles and anon-vanishing density of particles. The hydrodynamic equations, being writtenfor the density and velocity fields of the liquid, are shown to be

We consider perturbations in a cosmological model with a small couplingbetween dark energy and dark matter. We prove that the stability of thecurvature perturbation depends on the type of coupling between dark sectors.When the dark energy is of quintessence type,

We review the properties of static, higher dimensional black hole solutionsin theories where non-abelian gauge fields are minimally coupled to gravity. Itis shown that black holes with hyperspherically symmetric horizon topology donot exist in $d > 4$, but that hyperspherically

We introduce particle phenomenology on the noncommutative spacetime calledthe Groenewold-Moyal plane. The length scale of spcetime noncommutativity isconstrained from the CPT violation measurements in $K^{0}-\bar{K}^{0}$ systemand $g-2$ difference of $\mu^+ - \mu^-$. The $K^{0}-\bar{K}^{0}$ systemprovides an upper bound on the

We propose an extension of the five dimensional gravitational action with anexternal source in order to allow arbitrary smoothing of the negative tensionbrane in the Randall-Sundrum model. This extended action can be derived from amodel with an auxiliary four form

We consider a five dimensional DGP-brane scenario endowed with anon-minimally coupled scalar field within the context of Brans-Dicke theory.This theory predicts that the mass appearing in the gravitational potential ismodified by the addition of the mass of the effective intrinsic

We construct infinite dimensional spectral triples associated withrepresentations of the super-Virasoro algebra. In particular the irreducible,unitary positive energy representation of the Ramond algebra with centralcharge c and minimal lowest weight h=c/24 is graded and gives rise to a net ofeven

A consistent combination of quantum geometry effects rules out a large classof models of loop quantum cosmology and their critical densities as they havebeen used in the recent literature. In particular, the critical density atwhich an isotropic universe filled with

We take a first step towards the solution of QCD in 1+1 dimensions at nonzerodensity. We regularize the theory in the UV by using a lattice and in the IR byputting the theory in a box of spatial size L.

We investigate the relation between measurements and the physical observablesfor vacuum spacetimes with compact spatial surfaces in (2+1)-gravity withvanishing cosmological constant. By considering an observer who emits lightraysthat return to him at a later time, we obtain explicit expressions for

We construct a new supertwistor space suited for establishing a Penrose-Wardtransform between certain bundles over this space and solutions to the N=8super Yang-Mills equations in three dimensions. This mini-superambitwistorspace is obtained by dimensional reduction of the superambitwistor space, thestandard superextension

It was shown in arXiv:0810.4094 [hep-th] that in the presence of the magneticfield the sound waves in (2+1) dimensional plasma disappear and are replaces bya diffusive mode. Similarly, the shear and charge diffusion fluctuations form asubdiffusive mode. However, since the

Recently a modification of the tachyon DBI action has been proposed in whichthe tachyon carries the internal CP matrix \sigma_1 and \sigma_2. In thispaper, we find the momentum expansion of the disk level S-matrix element offour tachyons and one gauge

N=1 SQCD with SU(N_c) colors and N_F flavors of light quarks is consideredwithin the dynamical scenario, which assumes that quarks can be in twodifferent phases only. These are: a) either the HQ (heavy quark) phase wherethey are confined, b) or

For conformal field theories which admit a dual gravitational description inanti-de Sitter space, electrical transport properties, such as conductivity andcharge diffusion, are determined by the dynamics of a U(1) gauge field in thebulk and thus obey universality relations at the

We investigate general braneworld models, with a non-minimally coupledphantom bulk field and arbitrary brane and bulk matter contents. We show thatthe effective dark energy of the brane-universe acquires a dynamical nature, asa result of the non-minimal coupling which provides a

In this paper we investigate in detail the correspondence between E10 andRomans' massive deformation of type IIA supergravity. We analyse the dynamicsof a non-linear sigma model for a spinning particle on the coset spaceE10/K(E10) and show that it reproduces the