Derivative corrections from boundary state computations

Derivative Corrections from Boundary State Computations

The boundary state formalism is used to confirm predictions from non-commutativity for the derivative corrections to the Dirac–Born–Infeld and Chern–Simons actions, at all orders in derivatives. As anticipated by S. Mukhi, the method applies by induction to every coupling in the Chern–Simons action. It is also used to derive the corrections to the Dirac–Born–Infeld action at quadratic order in ...

Corrections to D-brane Action and Generalized Boundary State

In this paper, we generalize a boundary state to the one incorporating nonconstant gauge field strength as an external background coupled to the boundary of a string worldsheet in bosonic string theory. This newly defined boundary state satisfies generalized nonlinear boundary conditions with non-constant gauge field strength, and is BRST invariant. The divergence immanent in this boundary stat...

On Automatic Boundary Corrections*

Many popular curve estimators based on smoothing have diicul-ties caused by boundary eeects. These eeects are visually disturbing in practice and can play a dominant role in theoretical analysis. Local polynomial regression smoothers are known to correct boundary eeects automatically. Some analogs are implemented for density estimation and the resulting estimators also achieve automatic boundar...

Flow Computations with Accurate Space Derivative Methods

High-Performance Derivative Computations using CoDiPack

There are several AD tools available, which all implement different strategies for the reverse mode of AD. The major strategies are primal value taping (implemented e.g. by ADOL-c) and Jacobi taping (implemented e.g. by adept and dco/c++). Especially for Jacobi taping, recent advances by using expression templates make this approach very attractive for large scale software. The current implemen...