Matches in SemOpenAlex for { <https://semopenalex.org/work/W2110161999> ?p ?o ?g. }
- W2110161999 abstract "A bstract In this paper we provide a first attempt towards a toric geometric interpretation of scattering amplitudes. In recent investigations it has indeed been proposed that the all-loop integrand of planar $ mathcal{N} $ = 4 SYM can be represented in terms of well defined finite objects called on-shell diagrams drawn on disks. Furthermore it has been shown that the physical information of on-shell diagrams is encoded in the geometry of auxiliary algebraic varieties called the totally non negative Grassmannians. In this new formulation the infinite dimensional symmetry of the theory is manifest and many results, that are quite tricky to obtain in terms of the standard Lagrangian formulation of the theory, are instead manifest. In this paper, elaborating on previous results, we provide another picture of the scattering amplitudes in terms of toric geometry. In particular we describe in detail the toric varieties associated to an on-shell diagram, how the singularities of the amplitudes are encoded in some subspaces of the toric variety, and how this picture maps onto the Grassmannian description. Eventually we discuss the action of cluster transformations on the toric varieties. The hope is to provide an alternative description of the scattering amplitudes that could contribute in the developing of this fascinating field of research." @default.
- W2110161999 created "2016-06-24" @default.
- W2110161999 creator A5034284367 @default.
- W2110161999 creator A5038016929 @default.
- W2110161999 date "2013-09-01" @default.
- W2110161999 modified "2023-09-26" @default.
- W2110161999 title "Scattering amplitudes and toric geometry" @default.
- W2110161999 cites W1540739244 @default.
- W2110161999 cites W1568603570 @default.
- W2110161999 cites W1811565114 @default.
- W2110161999 cites W1898987871 @default.
- W2110161999 cites W1970198451 @default.
- W2110161999 cites W1971574194 @default.
- W2110161999 cites W1973074703 @default.
- W2110161999 cites W2003059693 @default.
- W2110161999 cites W2006890674 @default.
- W2110161999 cites W2016105357 @default.
- W2110161999 cites W2021404114 @default.
- W2110161999 cites W2030665456 @default.
- W2110161999 cites W2030826336 @default.
- W2110161999 cites W2039756936 @default.
- W2110161999 cites W2043156981 @default.
- W2110161999 cites W2046938033 @default.
- W2110161999 cites W2057062405 @default.
- W2110161999 cites W2057128568 @default.
- W2110161999 cites W2058454519 @default.
- W2110161999 cites W2059271119 @default.
- W2110161999 cites W2067043210 @default.
- W2110161999 cites W2070092470 @default.
- W2110161999 cites W2081093620 @default.
- W2110161999 cites W2084845289 @default.
- W2110161999 cites W2090467627 @default.
- W2110161999 cites W2091149452 @default.
- W2110161999 cites W2108294052 @default.
- W2110161999 cites W2130740742 @default.
- W2110161999 cites W2161141719 @default.
- W2110161999 cites W2168489452 @default.
- W2110161999 cites W2950540354 @default.
- W2110161999 cites W3098010780 @default.
- W2110161999 cites W3098027828 @default.
- W2110161999 cites W3099015677 @default.
- W2110161999 cites W3099988950 @default.
- W2110161999 cites W3100548440 @default.
- W2110161999 cites W3100577398 @default.
- W2110161999 cites W3101636055 @default.
- W2110161999 cites W3102687589 @default.
- W2110161999 cites W3102957731 @default.
- W2110161999 cites W3104164425 @default.
- W2110161999 cites W3104222275 @default.
- W2110161999 cites W3104847000 @default.
- W2110161999 cites W3121303946 @default.
- W2110161999 cites W3123789018 @default.
- W2110161999 cites W3125672206 @default.
- W2110161999 cites W4212959902 @default.
- W2110161999 cites W4249956767 @default.
- W2110161999 doi "https://doi.org/10.1007/jhep09(2013)133" @default.
- W2110161999 hasPublicationYear "2013" @default.
- W2110161999 type Work @default.
- W2110161999 sameAs 2110161999 @default.
- W2110161999 citedByCount "16" @default.
- W2110161999 countsByYear W21101619992014 @default.
- W2110161999 countsByYear W21101619992015 @default.
- W2110161999 countsByYear W21101619992016 @default.
- W2110161999 countsByYear W21101619992017 @default.
- W2110161999 crossrefType "journal-article" @default.
- W2110161999 hasAuthorship W2110161999A5034284367 @default.
- W2110161999 hasAuthorship W2110161999A5038016929 @default.
- W2110161999 hasBestOaLocation W21101619991 @default.
- W2110161999 hasConcept C105795698 @default.
- W2110161999 hasConcept C121332964 @default.
- W2110161999 hasConcept C12362212 @default.
- W2110161999 hasConcept C12843 @default.
- W2110161999 hasConcept C134306372 @default.
- W2110161999 hasConcept C136197465 @default.
- W2110161999 hasConcept C153013531 @default.
- W2110161999 hasConcept C162929932 @default.
- W2110161999 hasConcept C186399060 @default.
- W2110161999 hasConcept C191486275 @default.
- W2110161999 hasConcept C199360897 @default.
- W2110161999 hasConcept C202444582 @default.
- W2110161999 hasConcept C2524010 @default.
- W2110161999 hasConcept C33332235 @default.
- W2110161999 hasConcept C33923547 @default.
- W2110161999 hasConcept C41008148 @default.
- W2110161999 hasConcept C5052557 @default.
- W2110161999 hasConcept C527412718 @default.
- W2110161999 hasConcept C62520636 @default.
- W2110161999 hasConcept C68363185 @default.
- W2110161999 hasConcept C9652623 @default.
- W2110161999 hasConceptScore W2110161999C105795698 @default.
- W2110161999 hasConceptScore W2110161999C121332964 @default.
- W2110161999 hasConceptScore W2110161999C12362212 @default.
- W2110161999 hasConceptScore W2110161999C12843 @default.
- W2110161999 hasConceptScore W2110161999C134306372 @default.
- W2110161999 hasConceptScore W2110161999C136197465 @default.
- W2110161999 hasConceptScore W2110161999C153013531 @default.
- W2110161999 hasConceptScore W2110161999C162929932 @default.
- W2110161999 hasConceptScore W2110161999C186399060 @default.
- W2110161999 hasConceptScore W2110161999C191486275 @default.
- W2110161999 hasConceptScore W2110161999C199360897 @default.