The Yangian origin of the Grassmannian integral

DOI10.1007/JHEP12(2010)010zbMath1294.81101arXiv1002.4622WikidataQ59253992 ScholiaQ59253992MaRDI QIDQ407099

J. Herrera, H. S. Yoon

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1002.4622

zbMATH Keywords

AdS-CFT correspondencesupersymmetric gauge theoryintegrable field theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Groups and algebras in quantum theory and relations with integrable systems (81R12) (2)-body potential quantum scattering theory (81U05)

Related Items

Tales of 1001 gluons, Differential equations for multi-loop integrals and two-dimensional kinematics, Star integrals, convolutions and simplices, Grassmannians and form factors with \(q^{2} = 0\) in \( \mathcal{N} =4\) SYM theory, Towards the amplituhedron volume, Yangian-type symmetries of non-planar leading singularities, Multi-particle amplitudes from the four-point correlator in planar \( \mathcal{N}=4\) SYM, Bethe ansatz for Yangian invariants: towards super Yang-Mills scattering amplitudes, Yangian symmetry for the tree amplituhedron, Boundary perimeter Bethe ansatz, Graßmannian integrals in Minkowski signature, amplitudes, and integrability, On all-loop integrands of scattering amplitudes in planar \(\mathcal{N} = 4\) SYM, Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D, Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory, Graßmannian integrals as matrix models for non-compact Yangian invariants, Review of AdS/CFT integrability, chapter V.2: Dual superconformal symmetry, Yang-Baxter operators and scattering amplitudes in \(\mathcal{N}=4\) super-Yang-Mills theory, Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM, Notes on the scattering amplitude -- Wilson loop duality, Twistor and polytope interpretations for subleading color one-loop amplitudes, On the classification of residues of the Grassmannian, Correlators with \(\operatorname{s\ell}_{2}\) Yangian symmetry, Wilson lines, Grassmannians and gauge invariant off-shell amplitudes in \( \mathcal{N}=4 \) SYM, Grassmannian integral for general gauge invariant off-shell amplitudes in \(\mathcal{N}=4 \) SYM, Yangian in the twistor string, The Grassmannian and the twistor string: connecting all trees in \({\mathcal N} = 4\) SYM, Inverse soft factors and Grassmannian residues, The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM, Yangian symmetry of light-like Wilson loops, Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills, New differential equations for on-shell loop integrals, Yangian invariants and cluster adjacency in \(\mathcal{N} = 4\) Yang-Mills, Cluster adjacency for \(m = 2\) Yangian invariants, Towards the gravituhedron: new expressions for NMHV gravity amplitudes, Local integrals for planar scattering amplitudes, Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills, Higher codimension singularities constructing Yang-Mills tree amplitudes, Scattering amplitudes and toric geometry, The Grassmannian for celestial superamplitudes, The three-loop MHV octagon from \(\bar{Q}\) equations, Weak separation, positivity and extremal Yangian invariants, Symmetry properties of Wilson loops with a Lagrangian insertion

Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• Scattering amplitudes and BCFW recursion in twistor space
• Scattering into the fifth dimension of \(\mathcal{N} = 4\) super Yang-Mills
• The S-matrix in twistor space
• Twistor-strings, Grassmannians and leading singularities
• The Grassmannian origin of dual superconformal invariance
• Unraveling \(\mathcal{L}_{n, k} \): Grassmannian kinematics
• A duality for the S matrix
• One-loop superconformal and Yangian symmetries of scattering amplitudes in \( \mathcal{N} = 4 \) super Yang-Mills
• Dual superconformal symmetry, and the amplitude/Wilson loop connection
• On T-duality and integrability for strings on AdS backgrounds
• Gauge theory correlators from non-critical string theory
• Local spacetime physics from the Grassmannian
• Unification of residues and Grassmannian dualities
• 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
• Superconformal invariants for scattering amplitudes in \({\mathcal N}=4\) SYM theory
• Perturbative gauge theory as a string theory in twistor space
• New recursion relations for tree amplitudes of gluons
• Generalized unitarity and one-loop amplitudes in \(\mathcal N=1\) super-Yang-Mills
• Long-range \(\mathfrak{psu}(2,2|4)\) Bethe ansätze for gauge theory and strings
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Anti de Sitter space and holography
• The dilatation operator of conformal \(N=4\) super-Yang-Mills theory
• The large-\(N\) limit of superconformal field theories and supergravity
• Generalized unitarity for \(N=4\) super-amplitudes
• One-loop \(n\)-point gauge theory amplitudes, unitarity and collinear limits.
• Yangians, Grassmannians and T-duality
• 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
• T‐Duality, dual conformal symmetry and integrability for strings on AdS₅ × S⁵
• Lie superalgebras