11 research outputs found
D-string fluid in conifold: II. Matrix model for D-droplets on S^{3} and S^{2}
Motivated by similarities between Fractional Quantum Hall (FQH) systems and
aspects of topological string theory on conifold, we continue in the present
paper our previous study (hep-th/0604001, hep-th/0601020) concerning FQH
droplets on conifold. Here we focus our attention on the conifold sub-varieties
\textbf{\}and\textbf{\} and study the non
commutative quantum dynamics of D1 branes wrapped on a circle. We give a matrix
model proposal for FQH droplets of point like particles on
\textbf{\}and\textbf{\} with filling fraction
. We show that the ground state of droplets on carries an isospin and gives remarkably
rise to droplets on with Cartan-Weyl charge .Comment: 25 pages, one figur
Black Holes in Type IIA String on Calabi-Yau Threefolds with Affine ADE Geometries and q-Deformed 2d Quiver Gauge Theories
Motivated by studies on 4d black holes and q-deformed 2d Yang Mills theory,
and borrowing ideas from compact geometry of the blowing up of affine ADE
singularities, we build a class of local Calabi-Yau threefolds (CY^{3})
extending the local 2-torus model \mathcal{O}(m)\oplus \mathcal{O}(-m)\to
T^{2\text{}} considered in hep-th/0406058 to test OSV conjecture. We first
study toric realizations of T^{2} and then build a toric representation of
X_{3} using intersections of local Calabi-Yau threefolds \mathcal{O}(m)\oplus
\mathcal{O}(-m-2)\to \mathbb{P}^{1}. We develop the 2d \mathcal{N}=2 linear
\sigma-model for this class of toric CY^{3}s. Then we use these local
backgrounds to study partition function of 4d black holes in type IIA string
theory and the underlying q-deformed 2d quiver gauge theories. We also make
comments on 4d black holes obtained from D-branes wrapping cycles in
\mathcal{O}(\mathbf{m}) \oplus \mathcal{O}(\mathbf{-m-2}%) \to \mathcal{B}_{k}
with \mathbf{m=}(m_{1},...,m_{k}) a k-dim integer vector and \mathcal{B}_{k} a
compact complex one dimension base consisting of the intersection of k
2-spheres S_{i}^{2} with generic intersection matrix I_{ij}. We give as well
the explicit expression of the q-deformed path integral measure of the
partition function of the 2d quiver gauge theory in terms of I_{ij}.Comment: 36 pages, latex, 9 figures. References adde
Monte Carlo simulation of magnetic phase transitions in Mn doped ZnO
The magnetic properties of Mn-doped ZnO semi-conductor have been investigated
using the Monte Carlo method within the Ising model. The temperature
dependences of the spontaneous magnetization, specific heat and magnetic
susceptibility have been constructed for different concentrations of magnetic
dopant Mn and different carrier concentrations. The exact values of Mn
concentration and carrier concentration at which high temperature transition
occurs are determined. An alternative for the explanation of some controversies
concerning the existence and the nature of magnetism in Mn diluted in ZnO
systems is given. Other features are also studied.Comment: 10 pages, 9 figures, To appear in Journal of Magnetism and Magnetic
Material
From orthosymplectic structure to super topological matter
Topological supermatter is given by ordinary topological matter constrained by supersymmetry or graded supergroups such as OSP(2N|2N). Using results on super oscillators and lattice QFTd, we construct a super tight binding model on hypercubic super lattice with supercharge Q=∑kFˆk.qk.Bˆk. We first show that the algebraic triplet (Ω,G,J) of super oscillators can be derived from the OSp(2N|2N) supergroup containing the symplectic Sp(2N) and the orthogonal SO(2N) as even subgroups. Then, we apply the obtained result on super oscillating matter to super bands and investigate its topological obstructions protected by TPC symmetries. We also give a classification of the Bose/Fermi coupling matrix qk in terms of subgroups of OSp(2N|2N) and show that there are 2PN (partition of N) classes qk given by unitary subgroups of U(2)×U(N). Other features are also given