Abstract We show that the 2d Poisson Sigma Model on a groupoid arises as an effective theory of 3d Courant associated with double underlying Lie bialgebroid. This field-theoretic result follows from Lie-theoretic one involving coisotropic reduction odd cotangent bundle by generalized space algebroid paths. also provide several examples, including case symplectic groupoids in which we relate rea...

Regulatory networks controlling bacterial gene expression often evolve from common origins and share homologous proteins and similar network motifs. However, when functioning in different physiological contexts, these motifs may be re-arranged with different topologies that significantly affect network performance. Here we analyze two related signaling networks in the bacterium Bacillus subtili...

A test chip was fabricated in a standard 1.2-micron CMOS technology using Supplementary Symmetrical Logic Circuit Structure (SUS-LOC) concepts. The test chip demonstrates several ternary logical functions as well as the flexibility of the SUS-LOC structure. Logic functionality and switching performance of the chip were simulated and verified experimentally. Simulated and experimental results ar...

We present an elementary approach in characterizing Lie polynomials the generators $A,B$ of algebra with a defining relation that is form deformed or twisted commutation $AB=\sigma(BA)$ where deformation twisting map $\sigma$ linear polynomial slope parameter not root unity. The class algebras defined as such encompasses $q$-deformed Heisenberg algebras, rotation and some types $q$-oscillator w...

In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with following property: \((*)\) has a transitive group automorphisms \(\widetilde{G}\) that induces primitive almost simple permutation \(\widetilde{G}^{\Sigma}\) on set \({\Sigma}\) its classes. There are several infinite families (arc-transitive) examples in case when rank \({\rm rk}(\widetil...

Superdiffusive finite-temperature transport has been recently observed in a variety of integrable systems with nonabelian global symmetries. Superdiffusion is caused by giant Goldstone-like quasiparticles stabilized integrability. Here, we argue that these remain long-lived, and give divergent contributions to the low-frequency conductivity $\sigma(\omega)$, even are not perfectly integrable. W...