Search

We discuss the importance of $Z_2$ symmetry of large $N=4$ superconformal algebra for finding its free field realization that is more complete than the most commonly used one, that is, the Sevrin, Troost and van Proeyen realization. This in turn has implications for the search of a conformal field theory dual to superstrings moving in $AdS_3 \times S^3 \times S^3 \times S^1$ background., Comment: LaTeX, 11 pages

We discuss quantization of complementary ADHM sigma model in parallel with the quantization of the Witten's original ADHM sigma model by Lambert. The mechanisms of divergence cancellation in two models are different from each other., Comment: LaTeX, 17 pages, references added in v2, minor changes in v3

We construct the ADHM linear sigma model that is complementary to a model constructed by Edward Witten in 1995. Analysis of the corresponding moduli space leads to the resolution of a nearly three decade old mystery associated with the original construction. A number of problems are listed on which this construction has a bearing., Comment: LaTeX, 15 pages, in v2 references added, some revision as well as rewriting but conclusions unaltered

In the medium of relativistic heavy-ion collisions, dissociation of the quarkonium and their survival have been studied to understand the properties of Quark Gluon Plasma (QGP). The coupled rates of dissociation and recombination reactions in QGP are commonly solved with the Boltzmann transport equation in which the formation and dissociation reactions compete with each other. Since the dissociation of newly formed bound-states is not accounted in the Boltzmann equation, a framework of decoupled rates is developed to assess the combined effect of gluon-induced dissociation and recombination (though it is small for $\Upsilon$) together with color screening on bottomonium production in heavy-ion collisions at center of mass energy ($\sqrt{s_{\rm NN}}$) = 5.02 TeV. To calculate the recombination rates, we have employed an effective method of Bateman solution which makes sure the correlated effect between the recombination and the dissociation of the newly combined bottomonium in the QGP medium. The modifications of bottomonium have been estimated in an inflating QGP with the constraints matching with the dynamics of Pb+Pb collision events at LHC.