Results 41 to 50 of about 164,535 (282)

Constraints on sequential discontinuities from the geometry of on-shell spaces

open access: yesJournal of High Energy Physics, 2023
We present several classes of constraints on the discontinuities of Feynman integrals that go beyond the Steinmann relations. These constraints follow from a geometric formulation of the Landau equations that was advocated by Pham, in which the ...
Holmfridur S. Hannesdottir   +3 more
doaj   +1 more source

On the classical geometry of embedded manifolds in terms of Nambu brackets [PDF]

open access: yes, 2010
We prove that many aspects of the differential geometry of embedded Riemannian manifolds can be formulated in terms of a multi-linear algebraic structure on the space of smooth functions.
Arnlind, Joakim   +2 more
core  

Lectures on Graded Differential Algebras and Noncommutative Geometry [PDF]

open access: yes, 2001
These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
openaire   +3 more sources

Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots

open access: yesAdvanced Robotics Research, EarlyView.
A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun   +3 more
wiley   +1 more source

Scattering forms and the positive geometry of kinematics, color and the worldsheet

open access: yesJournal of High Energy Physics, 2018
The search for a theory of the S-Matrix over the past five decades has revealed surprising geometric structures underlying scattering amplitudes ranging from the string worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as ...
Nima Arkani-Hamed   +3 more
doaj   +1 more source

Algebraic singularities of scattering amplitudes from tropical geometry

open access: yesJournal of High Energy Physics, 2021
We address the appearance of algebraic singularities in the symbol alphabet of scattering amplitudes in the context of planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory.
James Drummond   +3 more
doaj   +1 more source

Expanding solitons to the Hermitian curvature flow on complex Lie groups

open access: yes, 2019
We investigate the algebraic structure of complex Lie groups equipped with left-invariant metrics which are expanding semi-algebraic solitons to the Hermitian curvature flow (HCF).
Pujia, Mattia
core   +1 more source

A State‐Adaptive Koopman Control Framework for Real‐Time Deformable Tool Manipulation in Robotic Environmental Swabbing

open access: yesAdvanced Robotics Research, EarlyView.
This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi   +2 more
wiley   +1 more source

A Calabi-Yau-to-curve correspondence for Feynman integrals

open access: yesJournal of High Energy Physics
It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable z = m 2/p 2.
Hans Jockers   +7 more
doaj   +1 more source

Singular solutions in soft limits

open access: yesJournal of High Energy Physics, 2020
A generalization of the scattering equations on X (2, n), the configuration space of n points on ℂℙ1, to higher dimensional projective spaces was recently introduced by Early, Guevara, Mizera, and one of the authors.
Freddy Cachazo, Bruno Umbert, Yong Zhang
doaj   +1 more source

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