We quantize JT gravity with matter on the spatial interval two asymptotically AdS boundaries. consider von Neumann algebra generated by right Hamiltonian and gravitationally dressed operators boundary. prove that commutant of this is analogously defined left boundary both algebras are type II$_\infty$ factors. These provide a precise notion entanglement wedge away from semiclassical limit. comm...

We study how the classical Hamilton's principal and characteristic functions are generated from solutions of quantum Hamilton–Jacobi equation. While in classically forbidden regions these quantities directly tend to ones, this is not case allowed regions. There, limit reached only if fluctuations eliminated by means coarse-graining averages. Analogously, scheme bringing motion's equations arise...

Abstract The main result is an equality type mean value theorem for tangentially convex functions in terms of tangential subdifferentials, which generalizes the classical one differentiable functions, as well Wegge functions. new then applied, analogously to what done case, characterize, context, Lipschitz increasingness with respect ordering induced by a closed cone, convexity, and quasiconvex...

Time-varying materials bring an extra degree of design freedom compared to their conventional time-invariant counterparts. However, few discussions have focused on the underlying physical difference between spatial and temporal boundaries. In this letter, we thoroughly investigate those differences from perspective conservation laws. By doing so, building blocks optics electromagnetics such as ...

A bstract This paper discusses the locality and analyticity of crossing symmetric dispersion relation (CSDR). Imposing constraints on CSDR gives rise to a local fully expansion scattering amplitudes, dubbed as Feynman block expansion. general formula is provided for contact terms that emerge from The domain also derived analogously Lehmann-Martin ellipse. Our observation type-II super-string tr...

The aim of this paper is to define cubic Dirac operators for colour Lie algebras. We give a necessary and sufficient condition construct algebra from an $\epsilon$-orthogonal representation $\epsilon$-quadratic algebra. This used prove strange Freudenthal-de Vries formula basic algebras as well Parthasarathy calculate the cohomology induced by operator, analogously algebraic Vogan conjecture pr...

By considering a generalisation of the CPM construction, we develop an infinite hierarchy probabilistic theories, exhibiting compositional decoherence structures which generalise traditional quantum-to-classical transition. Analogously to case, these decoherences reduce degrees freedom in physical systems, while at same time restricting fields over systems are defined. These theories possess fu...

Abstract We generalize a theorem by Titchmarsh about the mean value of Hardy’s $$Z$$ Z -function at Gram points to Hecke $$L$$ L -functions, which in turn implies weak law for them. Instead proceeding analogously with an approximate functional equation we employ different method using contour...

We compute the quasinormal frequencies of $d$-dimensional spherically symmetric black holes with leading string $\alpha'$ corrections for tensorial gravitational perturbations in highly damped regime. solve perturbatively master differential equation and we monodromies perturbation variable (analytically continued to complex plane) different contours, order obtain mode spectra. proceed analogou...

We study entanglement properties of hypergraph states in arbitrary finite dimension. compute multipartite elementary qudit states, namely those endowed with a single maximum-cardinality hyperedge. show that, analogously to the qubit case, also for dimension there exists lower bound connected states; this is given by an equal-dimension state featuring same number qudits as largest-cardinality hi...