Results 31 to 40 of about 164,069 (206)

On positive geometries of quartic interactions: Stokes polytopes, lower forms on associahedra and world-sheet forms

open access: yesJournal of High Energy Physics, 2020
In [1], two of the present authors along with P. Raman attempted to extend the Amplituhedron program for scalar field theories [2] to quartic scalar interactions. In this paper we develop various aspects of this proposal.
P.B. Aneesh   +5 more
doaj   +1 more source

Adjoint orbits, generalised parallelisable spaces and consistent truncations

open access: yesJournal of High Energy Physics, 2019
The aim of this note is to present some new explicit examples of O(d, d)generalised Leibniz parallelisable spaces arising as the normal bundles of adjoint orbits O $$ \mathcal{O} $$ of some semi-simple Lie group G.
Louise Anderson
doaj   +1 more source

Notes on biadjoint amplitudes, Trop G(3, 7) and X(3, 7) scattering equations

open access: yesJournal of High Energy Physics, 2020
In these notes we use the recently found relation between facets of tropical Grassmannians and generalizations of Feynman diagrams to compute all “biadjoint amplitudes” for n = 7 and k = 3.
Freddy Cachazo, Jairo M. Rojas
doaj   +1 more source

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

Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation

open access: yesJournal of High Energy Physics, 2017
A number of irreducible master integrals for L-loop sunrise and bubble Feynman diagrams with generic values of masses and external momenta are explicitly evaluated via the Mellin-Barnes representation.
Mikhail Yu. Kalmykov, Bernd A. Kniehl
doaj   +1 more source

Generalising G2 geometry: involutivity, moment maps and moduli

open access: yesJournal of High Energy Physics, 2021
We analyse the geometry of generic Minkowski N $$ \mathcal{N} $$ = 1, D = 4 flux compactifications in string theory, the default backgrounds for string model building. In M-theory they are the natural string theoretic extensions of G2 holonomy manifolds.
Anthony Ashmore   +3 more
doaj   +1 more source

Differential Geometry and Mechanics: A Source for Computer Algebra Problems [PDF]

open access: yesProgramming and Computer Software, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salnikov, V. N., Hamdouni, A.
openaire   +1 more source

An etude on recursion relations and triangulations

open access: yesJournal of High Energy Physics, 2019
Following [1], we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjoint ϕ 3 theory.
Song He, Qinglin Yang
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

Algebraic surfaces, four-folds and moonshine

open access: yesJournal of High Energy Physics, 2019
The aim of this note is to point out an interesting fact related to the elliptic genus of complex algebraic surfaces in the context of Mathieu moonshine. We also discuss the case of 4-folds.
Kimyeong Lee, Matthieu Sarkis
doaj   +1 more source

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