We study the moduli space of the boundary conformal field theories describing an unstable D-brane of type II string theory compactified on a circle of critical radius. This moduli space has two branches, – a three dimensional branch S/Z2 and a two dimensional branch described by a square torus T . These two branches are joined along a circle. We compare this with the moduli space of classical s...

Domain wall networks are studied in N = 2 supersymmetric U(NC) gauge theory with NF(> NC) flavors. We find a systematic method to construct domain wall networks in terms of moduli matrices. Normalizable moduli parameters of the network are found to be sizes and phases of the loop. We obtain moduli space metric which specifies the effective Lagrangian on the domain wall networks. It is used to s...

Consider the Hurwitz space parameterizing covers of P branched at four points. We study its intersection with divisor classes on the moduli space of curves. As applications, we calculate the slope of Teichmüller curves parameterizing square-tiled cyclic covers. In addition, we come up with a relation among the slope of Teichmüller curves, the sum of Lyapunov exponents and the Siegel-Veech const...

We study the effective low energy supergravity of the strongly coupled heterotic string compactified on a Calabi-Yau 3-fold with generic E8 × E8 gauge bundle. We focus on the effective potential for the chiral scalars. The effective superpotential can be studied using the dual 11-dimensional M-theory background involving insertions of M5 branes along an interval. In such backgrounds, in some re...

The atomic structure and elastic properties of silicon carbide nanowires of different shapes and effective sizes were studied using density functional theory and classical molecular mechanics. Upon surface relaxation, surface reconstruction led to the splitting of the wire geometry, forming both hexagonal (surface) and cubic phases (bulk). The behavior of the pristine SiC wires under compressio...

Hybrid inflation can be realised in low-energy effective string theory, as described using supergravity. We find that the coupling of moduli to the hybrid inflation sector in supergravity leads to a slope and a curvature for the inflaton potential. The ǫ and η parameters receive contributions at tree and one loop level which are not compatible with slow roll inflation. Furthermore the coupling ...

We consider elastic wave velocities in fluid-saturated porous media with pore fluids distributed in “patches” (i.e., heterogeneity much larger than the typical pore size). We model elastic properties of such materials using inclusion-based effective medium theory (IBEMT). The standard IBEMT formulation assumes insufficient time during the wave cycle for pore fluids to flow in response to wave-i...

is a pseudo-effective divisor on Y . We have an application to a problem concerning the positivity of divisors on the moduli space of stable curves, namely, let Mg (resp. Mg) be the moduli space of stable (resp. smooth) curves of genus g ≥ 2. Let λ be the Hodge class and δi’s (i = 0, . . . , [g/2]) are boundary classes. Then, a divisor (8g+4)λ− gδ0− ∑[g/2] i=1 4i(g− i)δi is pseudo-effective, an...