Contacts for Electrical Characterization of Semi-Insulating GaAs

Randomizing the superstring

“…1 limit, we assume that we can approximate the kinetic operator as e =2 1 + 1 2 , the usual one for a massive particle. (However, notice that G is positive, which corresponds to wrong-sign 4 theory for n = 4, which is asymptotically free in four dimensions, and with the 1/N expansion is \asymptotically convergent " 12]. )…”

New superspaces/algebras for superparticles/strings

“…A less familiar example is the construction for the superstring: It's known from the constraint approach to the superstring that the affine Lie algebra for the covariant derivatives includes not only stringy generalizations (currents) D(σ) and P (σ) of the superparticle's d (for supersymmetry) and p (for translations), but a further operator Ω(σ) ∼ Θ ′ (σ) (where " ′ " is the derivative with respect to the worldsheet coordinate σ) needed for closure of the algebra [8,9]. This Ω is thus dual to D in the sense that D is a kind of Θ derivative while Ω is a kind of Θ 1-form (over σ space), and consequently also in the sense that they are spinors of opposite chirality.…”

“…We first derive results for all free theories from group theoretic considerations of first-quantization. All free massless supersymmetric theories satisfy a simple set of equations of motion, the subset of the free superconformal equations of motion that don't involve S-supersymmetry or conformal boosts [9,17]. (Equivalent equations appear in pure spinor formulations with regard to the b ghost [18].)…”

(Non)triviality of Pure Spinors and Exact Pure Spinor–rns Map

“…where p α is conjugate to θ α [3] and the commuting spinors λ α and w α are the bosonic ghosts which, roughly speaking, are related to the fermionic gauge κ-symmetry in GS superstring theory. The action ( 1) is related to the standard GS action by substituting the constraint…”