Unraveling \(\mathcal{L}_{n, k} \): Grassmannian kinematics

DOI10.1007/JHEP03(2010)025zbMath1271.81109arXiv0912.0957WikidataQ59254810 ScholiaQ59254810MaRDI QIDQ365051

Jared Kaplan

Publication date: 3 September 2013

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.0957

zbMATH Keywords

1/N expansionduality in gauge field theoriesextended supersymmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Yang-Mills and other gauge theories in quantum field theory (81T13) (S)-matrix theory, etc. in quantum theory (81U20) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Related Items (24)

Stratifying on-shell cluster varieties: the geometry of non-planar on-shell diagrams ⋮ Non-planar on-shell diagrams ⋮ Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians ⋮ Scattering amplitudes and BCFW recursion in twistor space ⋮ Twistor-strings, Grassmannians and leading singularities ⋮ Illustrations of integrand-basis building at two loops ⋮ Scattering amplitudes at strong coupling for 4K gluons ⋮ MHV diagrams in momentum twistor space ⋮ The Yangian origin of the Grassmannian integral ⋮ Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory ⋮ On-shell diagrams and the geometry of planar \( \mathcal{N}<4 \) SYM theories ⋮ Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM ⋮ Dual conformal constraints and infrared equations from global residue theorems in \(\mathcal{N} = 4 \) SYM theory ⋮ Twistor and polytope interpretations for subleading color one-loop amplitudes ⋮ On the classification of residues of the Grassmannian ⋮ Anatomy of the amplituhedron ⋮ The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM ⋮ Local spacetime physics from the Grassmannian ⋮ Inverse soft factors and Grassmannian residues ⋮ Unification of residues and Grassmannian dualities ⋮ The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM ⋮ A Grassmannian étude in NMHV minors ⋮ Yangians, Grassmannians and T-duality ⋮ Bipartite field theories: from D-brane probes to scattering amplitudes

Cites Work

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• Eliminating spurious poles from gauge-theoretic amplitudes
• Scattering amplitudes and BCFW recursion in twistor space
• The S-matrix in twistor space
• On-shell recursion relations for generic theories
• Twistor-strings, Grassmannians and leading singularities
• The Grassmannian origin of dual superconformal invariance
• A duality for the S matrix
• The footprint of \(E_{7(7)}\) in amplitudes of \(\mathcal N= 8\) supergravity
• Absence of triangles in maximal supergravity amplitudes
• \(\mathcal N= 8\) supergravity 4-point amplitudes
• Dual superconformal symmetry, and the amplitude/Wilson loop connection
• Taming tree amplitudes in general relativity
• On tree amplitudes in gauge theory and gravity
• Explicit cancellation of triangles in one-loop gravity amplitudes
• Six-point one-loop \(\mathcal N=8\) supergravity NMHV amplitudes and their IR behaviour
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
• Twistor transform of all tree amplitudes in \({\mathcal N}=4\) SYM theory
• Symmetries and analytic properties of scattering amplitudes in \({\mathcal N}=4\) SYM theory
• The no-triangle hypothesis for \(\mathcal N= 8\) supergravity
• Is \(\mathcal N=8\) supergravity ultraviolet finite?
• Perturbative gauge theory as a string theory in twistor space
• New recursion relations for tree amplitudes of gluons
• A recursion relation for gravity amplitudes
• Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Explicit action of \(E_{7(7)}\) on \(\mathcal N=8\) supergravity fields plasma from boost invariant expansion
• Hexagon Wilson loop = six-gluon MHV amplitude
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• Multi-leg one-loop gravity amplitudes from gauge theory
• The central programme of twistor theory
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• What is the simplest quantum field theory?
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops
• New Higher-Derivative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>R</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:math>Theorems for Graviton Scattering
• Two-Loop Iteration of Five-Point<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math>Super-Yang-Mills Amplitudes
• UV properties of 𝒩 = 8 supergravity
• On cancellations of ultraviolet divergences in supergravity amplitudes
• Twistor Algebra

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