We consider gluon and gluino scattering amplitudes in large N β-deformed N = 4 SYM with real β. A direct inspection of the planar diagrams shows that the scattering amplitudes to all orders in perturbation theory are the same as in the undeformed N = 4 SYM theory. Using the dual σ-model description, we find the same equality at strong coupling to all orders in the σ-model loop expansion. Finall...

We consider the possible cardinalities of the following three cardinal invariants which are related to the permutation group on the set of natural numbers: ag := the least cardinal number of maximal cofinitary permutation groups; ap := the least cardinal number of maximal almost disjoint permutation families; c(Sym(N)) := the cofinality of the permutation group on the set of natural numbers. We...

Let Ar be the minimal resolution of the type Ar surface singularity. We study the equivariant quantum cohomology ring of the n-fold symmetric product stack [Sym(Ar)] of Ar. We calculate the operators of quantum multiplication by divisor classes. Under the assumption of the nonderogatory conjecture, these operators completely determine the ring structure, which gives an affirmative answer to the...

We compute certain two-point functions in D = 4, N = 4, SU(N) SYM theory on the Coulomb branch using SUGRA/SYM duality and find an infinite set of first order poles at masses of order (Higgs scale)/(gY M √ N). 1 E-mail: [email protected] 2 E-mail: [email protected] 1. Apart from being a universal way of looking at the gravity/gauge theory relation, Maldacena’s supe...

We investigate the issues of holography and string interactions in the duality between SYM and the pp wave background. We argue that the Penrose diagram of the maximally supersymmetric pp-wave has a one dimensional boundary. This fact suggests that the holographic dual of the pp-wave can be described by a quantum mechanical system. We believe this quantum mechanical system should be formulated ...

The Maldacena-Nuñez solution is generalized to include a number of integration constants, one of which controls the resolution of the singularity of the wrapped D5-brane background. Some features of the dual pure N = 1 super Yang-Mills (SYM) theory are calculated, amongst which the gluino condensate, the beta function of the gauge coupling and a brane probe potential, which is related to the Ve...

In this paper we compare the prediction for the high energy soft interaction in N-4 SYM with the experimental data. It is shown that at least half of the total cross section at the LHC energy should have a different source than N=4 SYM.

We have used whole-cell recordings and rapid agonist applications to characterize the physiological properties of kainate receptors expressed by rat hippocampal neurons in dissociated cell culture. Activation of NMDA and AMPA receptors was prevented by inclusion of the noncompetitive antagonists MK-801 (2 microM) and GYKI 53655 (100 microM), respectively. In the presence of these inhibitors, bo...

The substrate specificity and kinetic mechanism of spermidine N1-acetyltransferase from rat liver was investigated using a highly purified (18 000-fold) preparation from the livers of rats in which the enzyme was induced by treatment with carbon tetrachloride (1.5 ml/kg body wt. 6h before death). The enzyme catalysed the acetylation of spermidine, spermine, sym-norspermidine, sym-norspermine, N...

We present a computational analysis of the terahertz spectra of the monoclinic and the orthorhombic polymorphs of 2,4,6-trinitrotoluene. Very good agreement with experimental data is found when using density functional theory that includes Tkatchenko-Scheffler pair-wise dispersion interactions. Furthermore, we show that for these polymorphs the theoretical results are only weakly affected by ma...