The infinite limit of Matrix Theory in 4 and 10 dimensions is described in terms of Moyal Brackets. In those dimensions there exists a Bogomolni’y bound to the Euclideanized version of these equations, which guarantees that solutions of the first order equations also solve the second order Matrix Theory equations. A general construction of such solutions in terms of a representation of the targ...

  Objective: Corrosion resistance is among the most important properties of metal alloys used in the oral cavity. Consumption of acidic foods reduces the salivary pH and intensifies the corrosion of brackets and orthodontic wires. This study aimed to compare electro galvanic corrosion of different orthodontic brackets and wires and determine the amount of ions released into acidic artifici...

Considering the scattering of massless open strings attached to a D-string living in the B field background, we show that corresponding scattering upto the order of α ′2 is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket. 1 Introduction After the novel work of Witten [1], it was realized that the low energy dynamics of open

We generalize our results on Deligne’s conjecture to prove the statement that the normalized Hochschild co–chains of a finite–dimensional associative algebra with a non–degenerate, symmetric, invariant inner product are an algebra over a chain model of the framed little discs operad which is given by cacti. In particular, in characteristic zero they are a BV algebra up to homotopy and the Hochs...

Considering the scattering of massless open strings attached to a D2-brane living in the B field background, we show that corresponding scattering upto the order of α ′2 is exactly given by the gauge theory on noncommutative background, which is characterized by the Moyal bracket. 1 Introduction After the novel work of Witten [1], it was realized that the low energy dynamics of open

A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative versions of integrable models can be constructed. We explore how a Seiberg-Witten map acts in such a framework. As a specific example, we consider a noncommutative...

A Moyal deformation of a Clifford Cl(3, 1) Gauge Theory of (Conformal) Gravity is performed for canonical noncommutativity (constant Θ parameters). In the very special case when one imposes certain constraints on the fields, there are no first order contributions in the Θ parameters to the Moyal deformations of Clifford gauge theories of gravity. However, when one does not impose constraints on...