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Minimal Kinematics on $\mathcal{M}_{0,n}$
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abstract
Minimal kinematics identifies likelihood degenerations where the critical points are given by rational formulas. These rest on the Horn uniformization of Kapranov-Huh. We characterize all choices of minimal kinematics on the moduli space $\mathcal{M}_{0,n}$. These choices are motivated by the CHY model in physics and they are represented combinatorially by 2-trees. We compute 2-tree amplitudes, and we explore extensions to non-planar on-shell diagrams, here identified with the hypertrees of Castravet-Tevelev.
Forward citations
Cited by 4 Pith papers
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Arrangements and Likelihood
For an arrangement of hypersurfaces, the likelihood ideal of its likelihood correspondence is the Rees ideal of the likelihood module, and an arrangement is gentle exactly when the pre-likelihood ideal is prime.
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Stable curves and chromatic polynomials
Intersection numbers on moduli spaces of stable curves are shown to equal, up to sign, the chromatic polynomial of a graph evaluated at a negative integer.
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The CEGM NLSM
A systematic deformation theory for CEGM amplitudes yields generalized nonlinear sigma model amplitudes, with dimension gcd(k,n)-1 for pure deformations and an embedding of ordinary NLSM amplitudes as residues.
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On the New Factorizations of Yang-Mills Amplitudes
Tree-level Yang-Mills amplitudes factorize into gluings of lower-point amplitudes when a rectangular set of Mandelstam variables vanishes, and this paper gives a rigorous CHY-based proof.
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