D0-D̄0mixing: theory basics

Basics of Evolutionary Theory

Coefficient of relationship (r): the proportion of genes (or alleles) that two individuals share by common descent. Coefficient of relationship is a consequence of meiosis and sexual reproduction. Parents share 50% of their genes with their offspring (r=.50). Grandparents share 25% of their genes with their grand-offspring (r=.25). Half sibling share 25% of their genes, on average (r=.25), whil...

Basics of regularization theory

We consider the dynamics of three point masses, where we assume that the mass of the third body is so small that it does not affect the motion of the primaries. In the framework of the restricted three–body problem, we investigate the collisional trajectories, which correspond to a singularity of the equations of motion. We investigate the regularizing techniques known as Levi–Civita, Kustaanhe...

Control Theory Basics

D0-brane tension in string field theory

We compute the D0-brane tension in string field theory by representing it as a tachyon lump of the D1-brane compactified on a circle of radius R. To this aim, we calculate the lump solution in level truncation up to level L = 8. The normalized D0-brane tension is independent on R. The compactification radius is therefore chosen in order to cancel the subleading correction 1/L2. We show that an ...

Falling D0-Branes in 2D Superstring Theory

In N = 1, 2D superstring theory in the linear dilaton background, there exists falling D0-branes that are described by time-dependent boundary states. These falling D0-brane boundary states can be obtained by adapting the FZZT boundary states of N = 2 Super Liouville Field Theory (SLFT) [1] to the case of the N = 1, 2D superstring. In particular, we find that there are four stable, falling D0-b...