Results 51 to 60 of about 164,069 (206)

Connecting scalar amplitudes using the positive tropical Grassmannian

Journal of High Energy Physics
The biadjoint scalar partial amplitude, m n I I $$ {m}_n\left(\mathbbm{I},\mathbbm{I}\right) $$ , can be expressed as a single integral over the positive tropical Grassmannian thus producing a Global Schwinger Parameterization.
Freddy Cachazo, Bruno Giménez Umbert
doaj   +1 more source

Stokes polytopes: the positive geometry for ϕ 4 interactions

Journal of High Energy Physics, 2019
In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless ϕ 3 theory (and its close cousin, bi-adjoint ϕ 3 ...
Pinaki Banerjee, Alok Laddha, Prashanth Raman   +2 more
doaj   +1 more source

Yano F structures and extended supersymmetry

Journal of High Energy Physics, 2022
It is shown how extended supersymmetry realised directly on the (2, 2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold ...
Ulf Lindström
doaj   +1 more source

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

, 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, Hoppe, Jens, Huisken, Gerhard   +2 more
core  

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

Journal 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, Sören Kotlewski, Pyry Kuusela, Andrew J. McLeod, Sebastian Pögel, Maik Sarve, Xing Wang, Stefan Weinzierl   +7 more
doaj   +1 more source

Algebraic singularities of scattering amplitudes from tropical geometry

Journal 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, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios   +3 more
doaj   +1 more source

Expanding solitons to the Hermitian curvature flow on complex Lie groups

, 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

C* Algebras and Differential Geometry

, 2004
Translated Comptes Rendus Note of March ...
openaire   +2 more sources

Intersection theory in differential algebraic geometry: Generic intersections and the differential Chow form [PDF]

Transactions of the American Mathematical Society, 2013
In this paper, an intersection theory for generic differential polynomials is presented. The intersection of an irreducible differential variety of dimension d d and order h h with a generic differential hypersurface of order s s is shown to be an irreducible variety of dimension d
Gao, Xiao-Shan, Li, Wei, Yuan, Chun-Ming
openaire   +3 more sources

Meromorphic modular forms and the three-loop equal-mass banana integral

Journal of High Energy Physics, 2022
We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel, Claude Duhr, Nils Matthes   +2 more
doaj   +1 more source