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This dissertation is focused on three lines of work. In the first part, we consider aspects of holography and gauge/gravity duality in lower and higher dimensions. In particular, we study the duality ...
A comprehensive model for explaining scintillation yield in liquid xenon is introduced.We unify various definitions of work function which abound in the literature and incorporate all available data o...
The AGT relation identifies the Nekrasov functions for various N=2 SUSY gauge theories with the 2d conformal blocks, which possess explicit Dotsenko-Fateev matrix model (beta-ensemble) representations...
Unitarity in Dirichlet Higgs Model     Unitarity  Dirichlet Higgs Model       font style='font-size:12px;'> 2010/12/24
We show that a five dimensional Universal Extra Dimension model, compactified on a line segment, is consistently formulated even when the gauge symmetry is broken solely by non-zero Dirichlet boundary...
Model building in AdS/CMT: DC Conductivity and Hall angle     Model building in AdS/CMT  DC Conductivity  Hall angle       font style='font-size:12px;'> 2010/12/23
Using the bottom-up approach in a holographic setting, we attempt to study both the transport and thermodynamic properties of a generic system in $3+1$ dimensional bulk spacetime. We show the exact $...
We examine lepton number violation (LNV) in theories with a saturated black hole bound on a large number of species. Such theories have been advocated recently as a possible solution to the hierarchy ...
The idea that the elementary particles might have the symmetry of knots has had a long history. In any current formulation of this idea, however, the knot must be quantized. The present review is a su...
Vector Schwinger model is reinvestigated with the mass like term for gauge field. Phase space structure has been determined in this situation. It has been found that mass of the gauge boson acquires ...
Model for gravity at large distances     gravity  large distances       font style='font-size:12px;'> 2010/12/27
We construct an effective model for gravity of a central object at large scales. To leading order in the large radius expansion we find a cosmological constant, a Rindler acceleration, a term that se...
We describe the time-dependent radiation transfer in blazar jets, within the internal shock model. We assume that the central engine, which consists of a black hole and an accretion disk, spews out re...
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. I...
It is shown that the IIB matrix model compactified on a six-dimensional torus with a nontrivial topology can provide chiral fermions and matter content close to the standard model on our four-dimensi...
Flavor States of the Knot Model     Flavor States  the Knot Model       font style='font-size:12px;'> 2010/12/23
We discuss flavor states of the knot model and their relation to the KM and PMNS matrices. These states are eigenstates of absorption operators and are analogous to the coherent states of the Maxwell ...
Properties of the String Operator in the Eight-Vertex Model      Properties  Eight-Vertex Model        font style='font-size:12px;'> 2010/11/24
The construction of creation operators of exact strings in eigenvectors of the eight vertex model at elliptic roots of unity of the crossing parameter which allow the generation of the complete set of...
Pilot wave model without configuration or Fock spaces     Pilot wave model  Fock spaces       font style='font-size:12px;'> 2010/11/16
The goal of this article is to come up with interpretation of quantum phenomena that is both local and deterministic. This is done by the means of envoking two different metrics, $g_o$ and $g_s$. Thes...

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