Results 31 to 40 of about 164,410 (186)

Adjoint orbits, generalised parallelisable spaces and consistent truncations

Journal 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

Hyperbolic geometry and amplituhedra in 1+2 dimensions

Journal of High Energy Physics, 2018
Recently, the existence of an Amplituhedron for tree level amplitudes in the bi-adjoint scalar field theory has been proved by Arkani-Hamed et al.
G. Salvatori, S. L. Cacciatori
doaj   +1 more source

Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces

Journal of High Energy Physics, 2022
For spacetimes containing quiescent singularity hypersurfaces we propose a general notion of junction conditions based on a prescribed singularity scattering map, as we call it, and we introduce the notion of a cyclic spacetime (also called a multiverse)
Bruno Le Floch, Philippe G. LeFloch, Gabriele Veneziano   +2 more
doaj   +1 more source

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

Journal 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

Tropical fans, scattering equations and amplitudes

Journal of High Energy Physics, 2021
We describe a family of tropical fans related to Grassmannian cluster algebras. These fans are related to the kinematic space of massless scattering processes in a number of ways.
James Drummond, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios   +3 more
doaj   +1 more source

The fundamental theorem of tropical differential algebraic geometry [PDF]

Pacific Journal of Mathematics, 2016
11 pages, abstract added, simplification of proofs in Sections 6 and 7, added references for Sections 1 and 7.
Aroca, Fuensanta, Garay, Cristhian, Toghani, Zeinab   +2 more
openaire   +2 more sources

Examples of noncommutative manifolds: complex tori and spherical manifolds

, 2007
We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
core   +2 more sources

Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2016
Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
openaire   +6 more sources

Maximal cuts in arbitrary dimension

Journal of High Energy Physics, 2017
We develop a systematic procedure for computing maximal unitarity cuts of multiloop Feynman integrals in arbitrary dimension. Our approach is based on the Baikov representation in which the structure of the cuts is particularly simple. We examine several
Jorrit Bosma, Mads Sogaard, Yang Zhang
doaj   +1 more source

Generalising G2 geometry: involutivity, moment maps and moduli

Journal 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, Charles Strickland-Constable, David Tennyson, Daniel Waldram   +3 more
doaj   +1 more source