We consider free higher derivative theories of scalars and Dirac fermions in the presence a boundary general dimension. establish method for finding consistent conformal conditions these by removing certain primaries from spectrum. A rich set renormalization group flows between various is revealed, triggered deformations quadratic primaries. compute energy on hemisphere, show that $a$-theorem g...

In this paper, we present a covariant formalism that connects solutions to force-free electrodynamics in the non-null case and foliations of spacetime. doing so, are also able derive an expression general current density vector. Just as null case, can give rise dual solution, however, is shown below, happen only when solution describes vacuum field. All theorems illustrated with previously know...

Abstract Using the invariant theory of arc spaces, we find minimal strong generating sets for certain cosets affine vertex algebras inside free field that are related to classical Howe duality. These results have several applications. First, any algebra ${{\mathcal {V}}}$, a surjective homomorphism differential $\mathbb {C}[J_{\infty }(X_{{{\mathcal {V}}}})] \rightarrow \text {gr}^{F}({{\mathca...

In robot navigation tasks, such as unmanned aerial vehicle (UAV) highway traffic monitoring, it is important for a mobile to follow specified desired path. However, most of the existing path-following algorithms cannot guarantee global convergence paths or enable following self-intersected due existence singular points where return unreliable even no solutions. One typical example arises in vec...

We compute the pseudo complexity of purification corresponding to reduced transition matrices for free scalar field theories with an arbitrary dynamical exponent. plot behaviour various parameters theory under study and compare it density two states $|\psi_1\rangle$ $|\psi_2\rangle$ that constitute matrix. first find matrix by reducing a small number ($1$ $2$) degrees freedom in lattice from sy...