We explore an exact duality in $(2+1)$d between the fermionization of a bosonic theory with $\mathbb{Z}_2$ subsystem symmetry and fermionic fermion parity symmetry. A typical example is plaquette Ising model model. first revisit standard boson-fermion $(1+1)$d 0-from symmetry, presenting way generalizable to $(2+1)$d. proceed establish on lattice by using generalized Jordan-Wigner map, careful ...

We demonstrate propagation rules of subsystem code constructions by extending, shortening and combining given subsystem codes. Given an [[n, k, r, d]]q subsystem code, we drive new subsystem codes with parameters [[n + 1, k, r,≥ d]]q, [[n − 1, k + 1, r,≥ d − 1]]q , [[n, k − 1, r + 1, d]]q . We present the short subsystem codes. The interested readers shall consult our companion papers for upper...

In the hardwarelsoftware design of control systems it is almost an article of faith to decompose a system into loosely coupled subsystems, with state variables encapsulated in device and subsystem objects. The engineering advantages of such an approach are so attractive that it is sometimes applied inappropriately, yielding a design that hides a tangle of special-case subsystem-to-subsystem cou...

BACKGROUND Posttraumatic stress disorder (PTSD) is a psychiatric disorder characterized by debilitating re-experiencing, avoidance, and hyperarousal symptoms following trauma exposure. Recent evidence suggests that individuals with PTSD show disrupted functional connectivity in the default mode network, an intrinsic network that consists of a midline core, a medial temporal lobe (MTL) subsystem...

We propose that models with spacetime subsystem symmetry are connected to Lorentz invariant via the Carrollian limit. In this way, a recently proposed model was readily reproduced together its conserved charges. then couple dynamical Abelian gauge field and Carroll gravity. Our procedure can be applied in arbitrary dimensions paves way construct new symmetry.

Organism-built structures have long been useful artifacts for students of evolution and systematics, because they represent a permanent record of a set of behaviors. These structures also represent an investment of energy by an organism, and to persist in the fossil record, the energetic investment in the structure must pay off for the organisms that build it, in either improved survivorship, i...