Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modules

Let $A$ be a Noetherian standard $\mathbb{N}$-graded algebra over an Artinian local ring $A_0$. Let $I_1,\ldots,I_t$ be homogeneous ideals of $A$ and $M$ a finitely generated $\mathbb{N}$-graded $A$-module. We prove that there exist two integers $k$ and $k'$ such that \mathrm{reg}(I_1^{n_1} \cdots I_t^{n_t} M) \leq (n_1 + \cdots + n_t) k + k' \quad\mbox{for all }~n_1,\ldots,n_t \in \mathbb{N}. Comment: 9 page

2HDM without FCNC: off the beaten tracks

We propose an alternative method of constructing two Higgs-doublet models free from scalar mediated FCNC couplings at the tree-level. In a toy scenario, we have presented semi realistic textures for the Yukawa matrices, which can reproduce the approximate flavor structure in the quark sector. Presence of flavor diagonal but nonuniversal Yukawa couplings emerges as a distinguishing feature of such models.Comment: 8 pages, no figures, minor clarifications added, version accepted for publication in EPJ

Energy management in 21st century: an inquiry into the mounting corporate hegemony over basic human necessities and the role of civil society as a countervailing force.

In 21st century, as energy and food supplies are increasingly becoming dependent on each other, any strategy to manage these two basic human needs should be formulated collectively –not in isolation. The ‘green revolution’ of 1950s paved the way for ascertaining corporate control on food and water. Through the enactment and subsequent ratification of Kyoto Protocol, the corporate hegemony on air and energy has been established firmly. During last hundred and fifty odd years, a symbiotic relationship between the state and large corporations was developed. The transnational corporations are trying to break away from such dependence on state and emerge as the dominant force to control and manage the global market. This study tries to explain the consequences of this changing relation between the ‘state’ and ‘corporations’ on the food and energy needs of the citizens. It also analyses various issues pertaining to the energy supplies during the next few decades of the 21st century. The paper concludes that in future, the civil society organizations (CSOs) will play an important role in steering the course of society especially in the allocation and distribution of basic human necessities like food and energy.Electricity retailing; food retailing, renewable energy; decentralized generation; civil society; multilateral organization; small and micro enterprise (sme), SMEs

Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model

We present a study of the chiral-odd generalized parton distributions for $u$ and $d$ quarks in a proton using the light front wave functions of the scalar quark-diquark model for nucleon constructed from the soft-wall AdS/QCD correspondence. We obtain the GPDs in terms of overlaps of the LFWFs. Numerical results for chiral-odd GPDs in momentum as well as transverse position spaces considering both zero and nonzero skewness($\zeta$) are presented. For nonzero skewness, the GPDs are also evaluated in longitudinal position space.Comment: 24 pages, 10 figure