Kähler-Chern-Simons theory describes antiself-dual gauge fields on a four-dimensional Kähler manifold. The phase space is the space of gauge potentials , the symplectic reduction of which by the constraints of antiself-duality leads to the moduli space of antiself-dual instantons. We outline the theory highlighting symmetries, their canonical realization and some properties of the quantum wave ...

We present a novel framework for finite element particle-in-cell methods based on the discretization of the underlying Hamiltonian structure of the Vlasov–Maxwell system. We derive a semi-discrete Poisson bracket, which retains the defining properties of a bracket, anti-symmetry and the Jacobi identity, as well as conservation of its Casimir invariants, implying that the semi-discrete system is...

The string bracket introduced by Chas and Sullivan is reinterpreted from the point of view of topological field theories in the Batalin-Vilkovisky or BRST formalisms. Namely, topological action functionals for gauge fields (generalizing Chern-Simons and BF theories) are considered together with generalized Wilson loops. The latter generate a (Poisson or Gerstenhaber) algebra of functionals with...

Let ? 2 be a fixed natural number. The complete description is given of the product preserving gauge bundle functors F on category F?VB flag vector bundles K = (K;K1,...,K?) length in terms systems I (I1,..., I??1) A-module homomorphisms Ii : Vi+1 Vi for Weil algebras A and finite dimensional (over R) A-modules V1,...,V?. so called iteration problem investigated. affinors FK are classified. gau...

INTRODUCTION The indirect bonding technique optimizes fixed appliance installation at the orthodontic office, ensuring precise bracket positioning, among other advantages. In this laboratory clinical phase, material and methods employed in creating the transfer tray are decisive to accuracy. OBJECTIVE This article describes a simple, efficient and reproducible indirect bonding technique that ...

In this paper, we discuss the classical and quantum mechanics of finite dimensional mechanical systems subject to constraints. We review Dirac’s classical formalism of dealing with such problems and motivate the definition of objects such as singular and non-singular action principles, firstand second-class constraints, and the Dirac bracket. We show how systems with first-class constraints can...

We propose a novel prescription to take off the square root of NambuGoto action for a p-brane, which generalizes the Brink-Di VecchiaHowe-Tucker or also known as Polyakov method. With an arbitrary decomposition as d + n = p + 1, our resulting action is a modified d-dimensional Polyakov action which is gauged and possesses a Nambu n-bracket squared potential. We first spell out how the (p+1)dime...

The covariant phase space of a lagrangian ¦eld theory is the solution space of the associated Euler-Lagrange equations. It is, in principle, a nice environment for covariant quantization of a lagrangian ¦eld theory. Indeed, it is manifestly covariant and possesses a canonical (functional) ¤presymplectic structure¥ ω (as ¦rst noticed by Zuckerman in 1986) whose degeneracy (functional) distributi...

BACKGROUND The ideal built-in tip and torque values of the straight wire appliance reduce the need for wire bending and hence reduce chair time. The vertical position of the bracket on the tooth surface can alter the torque exerted on the tooth. This is a result of the altered surface curvature observed at each vertical position. To further clarify the role of vertical bracket positioning on th...