Results 51 to 60 of about 168,902 (328)

Multidimensional Toda type systems [PDF]

, 1996
On the base of Lie algebraic and differential geometry methods, a wide class of multidimensional nonlinear systems is obtained, and the integration scheme for such equations is proposed.Comment: 29 pages, LaTeX ...
A. N. Leznov, A. V. Razumov, A. V. Razumov, A. V. Razumov, B. Dubrovin, C.-L. Terng, G. Darboux, J. E. Humphreys, J.-L. Gervais, J.-L. Gervais, K. Tenenblat, L. A. Ferreira, L. Bianchi, L. Fehér, M. J. Ablowitz, M. Sato, M. V. Saveliev, M. V. Saveliev, N. Bourbaki, S. Cecotti, S. Cecotti, V. E. Korepin, Yu. A. Aminov   +22 more
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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

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

Differential structures in algebraic geometry

, 2000
Cette thèse a pour objet d'une part l'étude de certaines structures différentielles sur les variétés algébriques complexes et d'autre part l'étude de faisceaux sur les hypersur-faces cubiques de l'espace projectif complexe de dimension quatre.Dans une première partie, nous donnons une description complète des structures de Poisson quasi-régulières non ...
Stéphane Druel
openalex   +3 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

Algebraic Structures and Differential Geometry in 2D String Theory

, 1992
A careful treatment of closed string BRST cohomology shows that there are more discrete states and associated symmetries in $D=2$ string theory than has been recognized hitherto.
Alvarez-Gaumé, Alvarez-Gaumé, Avan, Barton Zwiebach, Bouwknegt, Das, Di Francesco, Distler, Edward Witten, Frenkel, Getzler, Gross, Gross, Gross, Itoh, Klebanov, Klebanov, Kugo, Kugo, Kutasov, La, Lian, Lian, Moore, Mukherji, Nelson, Polyakov, Saadi, Sen, Sen, Siegel, Sonoda, Stasheff, Wiesbrock, Witten, Witten, Witten, Zwiebach, Zwiebach, Zwiebach, Zwiebach   +40 more
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