Connecting scalar amplitudes using the positive tropical Grassmannian
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
On Fock-space representations of quantized enveloping algebras related to noncommutative differential geometry [PDF]
Branislav Jurčo, Michael Schlieker
openalex +1 more source
A Calabi-Yau-to-curve correspondence for Feynman integrals
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
Self-duality from twisted cohomology
Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε-factorised differential equation is persymmetric.
Claude Duhr+3 more
doaj +1 more source
Non-smooth differential geometry and algebras of generalized functions
Michael Kunzinger
openalex +2 more sources
Smooth geometry of double extension regular algebras of type (14641) [PDF]
In this paper, we prove that double extension regular algebras of type (14641) are not differentially smooth.
arxiv
WEIGHTED TRACES ON ALGEBRAS OF PSEUDO-DIFFERENTIAL OPERATORS AND GEOMETRY ON LOOP GROUPS [PDF]
Alexander Cardona+3 more
openalex +1 more source
Geometry of differential operators of second order, the algebra of densities, and groupoids
H. M. Khudaverdian, Th.Th. Voronov
openalex +1 more source
Generalized teleparallel de Sitter geometries. [PDF]
Coley AA+3 more
europepmc +1 more source
Chiral-Yang-Mills theory, non commutative differential geometry, and the need for a Lie super-algebra [PDF]
Jean Thierry‐Mieg
openalex +1 more source