Results 21 to 30 of about 192 (135)
Probabilistic correlation functions of the Schwarzian field theory
Abstract We study correlation functions of the probabilistic Schwarzian field theory. We compute cross‐ratio correlation functions exactly in the case when the corresponding Wilson lines do not intersect, confirming predictions made in the physics literature via limit of the conformal bootstrap and the DOZZ formula.
Ilya Losev
wiley +1 more source
Coulomb branch algebras via symplectic cohomology
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka +2 more
wiley +1 more source
Quantum Theory of Distributed‐Feedback Parametric Amplifiers and Oscillators
A new class of quantum light source is emerging from optical parametric cavities formed by Bragg reflectors, a so‐called distributed‐feedback design. Such devices are especially promising for quantum technologies such as sensing. Here, an analytic quantum model of these sources reveals their key properties, such as the parametric oscillation threshold,
Alex O.C. Davis, Alex I. Flint
wiley +1 more source
The Lp$L^p$‐diameter of the space of contractible loops
Abstract We prove that the space of contractible simple loops of a given fixed area in any compact oriented surface has infinite diameter as a homogeneous space of the group of area‐preserving diffeomorphisms endowed with the Lp$L^p$‐metric. As a special case, this resolves the Lp$L^p$‐metric analog of the well‐known question in symplectic topology ...
Michael Brandenbursky, Egor Shelukhin
wiley +1 more source
Hybrid symplectic integrators for planetary dynamics [PDF]
Abstract Hybrid symplectic integrators such as MERCURY are widely used to simulate complex dynamical phenomena in planetary dynamics that could otherwise not be investigated. A hybrid integrator achieves high accuracy during close encounters by using a high-order integration scheme for the duration of the encounter while otherwise using ...
Ari Silburt +8 more
openaire +2 more sources
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
SPH Simulates Steep‐Stepped Spillway Flows Assessing Convergence, DDT Effects, and Pressure Accuracy
Numerical investigation of high‐gradient stepped spillway flows using the SPH method, highlighting the simulation setup and skimming flow regime. Convergence analysis compares results with and without the Density Diffusion Term (DDT), showing its effectiveness in reducing spurious oscillations.
Eduardo Masaji Endo +3 more
wiley +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer +2 more
wiley +1 more source

