The expression (4.13) for the correlation function (V+V-+V+V-+) in the ki + 0 limit vanishes identically. This can be seen by using the Riemann theta identity (Eq. R5 of Ref. [a]), cGygY(5)29Y(Y)ljJY(u)ljfY(v) = ~~1(~l)~l(Yl)~l(~l)~l(~l) v where v1 = +y--u+w) A similar result can also be proved

We use the method of discrete loop equations to calculate exact correlation functions of spin and disorder operators on the sphere and on the boundary of a disk in the c = 1=2 string, both in the Ising and dual Ising matrix model formulations. For both the Ising and dual Ising theories the results

We develop the embedding formalism for conformal field theories, aimed at doing computations with symmetric traceless operators of arbitrary spin. We use an index-free notation where tensors are encoded by polynomials in auxiliary polarization vectors. The efficiency of the formalism

We present the new expressions for the formfactors of local operators for the XX- quantum spin chain as a Cauchy determinants. Using the known functional form of the correlator at large distances we propose the new expression for the constant for the asymptotics of the correlator as a Cauchy

, it provides us with an opportunity to partially examine the relation between exit rates and IRRs and thus the robustness of our fund performance results. The correlation between exit rates and IRRs is 0.42 (p<0.001), suggesting that exit rates are a useful but noisy proxy for IRRs. We re-estimate our fund

is of particular interest since it has contributions from quark-gluon correlations and other higher twist terms at leading order in Q2 which cannot be described perturbatively. By interpreting g2 using the operator product expansion (OPE) [1, 2], it is possible to study contributions to the nucleon spin structure

capacity. Some of the determinants of adaptive capacity should, for example, operate on macro-scales in which national or regional factors play the most significant role, but other determinants should function on more micro scales that are precisely location specific. This will turn out to be a useful

We consider the strong coupling limit of 4-point functions of heavy operators in N = 4 SYM dual to strings with no spin in AdS. We restrict our discussion for operators inserted on a line. The string computation factorizes into a state-dependent sphere part and a universal AdS contribution which

We study two-point correlation functions of spin operators in the minimal modelsMp;p0 perturbed by the eld 13 using both the frame-work of conformal perturbation theory [1] and the form-factor ap-proach [2]. This article is a review of the results in [3]. 1

momentum vector in space. In this coordinate representation the spin angular momentum operators, S2,Sz, are represented by the usual differential operators in spherical polar coordinates (commonly used for L2,Lz), and their electron-spin eigenfunctions are √ sinθs exp(±φs/2). This eigenfunction