The matrix models which are conjectured to compute the circle Wilson loop and its correlator with chiral primary operators are mapped onto normal matrix models. A fermion droplet picture analogous to the well-known one for chiral primary operators is shown to emerge in the large N limit. Several examples are computed. We find an interesting selection rule for the correlator of a single trace Wi...

background and objective : sleep deprivation (sd) is caused by a host of reasons and has numerous consequences on cardiac system. in this study, we aimed to assess the preconditioning effects of acute sd on ischemia (is)-induced ventricular arrhythmias in isolated rat hearts. materials and methods : male wistar rats randomly were placed into the four groups: is-group, acute sd group, control gr...

We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract these vevs, we propose a gravity dual of a half supersymmetric deformation of N = 4 SYM (on Mink4...

A permutation group G?Sym(?) is said to be 2-closed if no H such that G<H?Sym(?) has the same orbits on ?×? as G. simple and efficient inductive criterion for 2-closedness established abelian groups with cyclic transitive constituents.

This easily implies that the confinality of Sym(Ω) is greater than |Ω|, the result first proven by Macpherson and Neumann in [15] (the confinality of a given groupG being the least cardinality of a chain of proper subgroup whose union is G.) Another consequence of the result of Bergman’s is really surprising! One of the examples of systems (Yi) is given by the system of powers (X : m ∈ N) of a ...

This is a thesis/review article that combines some of the results of [1, 2, 3] with a short discussion of introductory background material; an attempt has been made to present the work in a self-contained manner. The first chapter mostly targets readers who are vaguely familiar with traditional and contemporary string theory. Chapter two discusses in detail the thermodynamics of the 0 + 1 dimen...

We compute holographically the vevs of all chiral primary operators for supergravity solutions corresponding to the Coulomb branch of N = 4 SYM and find exact agreement with the corresponding field theory computation. Using the dictionary between 10d geometries and field theory developed to extract these vevs, we propose a gravity dual of a half supersymmetric deformation of N = 4 SYM (on Mink4...

We show that the exact beta–function of 4D N = 2 SYM plays the role of the inverse of the metric in the WDVV–like equations F ikl β lm F mnj = F jkl β lm F mni. The conjecture that the WDVV–like equations are equivalent to the identity between the u–modulus and the prepotential F , seen as a superconformal anomaly, sheds light on the recently considered C–theorem for the N = 2 SYM field theories.