Open <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">CP</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> descendent theory I: The stationary sector

The Ramond Sector of Open Superstring Field Theory

Although the equations of motion for the Neveu-Schwarz (NS) and Ramond (R) sectors of open superstring field theory can be covariantly expressed in terms of one NS and one R string field, picture-changing problems prevent the construction of an action involving these two string fields. However, a consistent action can be constructed by dividing the NS and R states into three string fields which...

The stationary Monte Carlo method for device simulation. I. Theory

A theoretical analysis of the Monte Carlo method for steady-state semiconductor device simulation, also known as the single-particle Monte Carlo method, is presented. At the outset of the formal treatment is the stationary Boltzmann equation supplemented by boundary conditions, which is transformed into an integral equation. The conjugate equation has been formulated in order to develop forward...

I-odd sector of the Klebanov-Strassler theory

The Klebanov-Strassler background is invariant under the Z2 symmetry I, which acts by exchanging the bi-fundamental fields A and B, accompanied by the charge conjugation. We study the background perturbations in the I-odd sector and find an exhaustive list of bosonic states invariant under the R-symmetry SU(2)×SU(2). In addition to the scalars identified in an earlier publication arXiv: 0712.44...

Long Time Tails in Stationary Random Media. I. Theory

Diffusion of moving particles in stationary disordered media is studied using a phenomenological mode-coupling theory. The presence of disorder leads to a generalized diffusion equation with memory kernels having power law long time tails. The velocity autocorrelation function is found to decay like t -(a/2+1), while the time correlation function associated with the super-Burnett coefficient de...

Open Problems in the Motivic Stable Homotopy Theory, I