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We argue that $\ell$-loop Yangian-invariant fishnet integrals in 2 dimensions are connected to a family of Calabi-Yau $\ell$-folds.
1910
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1910
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1912
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1912
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1912
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1912
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E. L. Ince, Ordinary Differential Equations (Dover Publications, New York, 1944) pp. viii+558
1944
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Andrei I. Davydychev and Robert Delbourgo, “A Geometrical angle on Feynman integrals,” J. Math. Phys. 39
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Chuck Doran, “Picard–Fuchs Uniformization and Modularity of the Mirror Map,” Comm. Math. Phys. 212
2000
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Cristian Vergu and Matthias Volk, “Traintrack Calabi-Yaus from Twistor Geometry,” JHEP 07
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J. M. Drummond, J. Henn, V. A. Smirnov, and E. Sokatchev, “Magic identities for conformal four-point integrals,” JHEP 01
2007
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Don Zagier, “The dilogarithm function,” in Frontiers in Number Theory, Physics, and Geometry II: On Conformal Field Theories, Discrete Groups and Renormalization , edited by Pierre Cartier, Pierre Moussa, Bernard Julia, and Pierre Vanhove (Springer Berlin Heidelberg, Berlin, Heidelberg, 2007) pp. 3–65
2007
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Nima Arkani-Hamed and Jaroslav Trnka, “The Amplituhedron,” JHEP 10
2007
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2007
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2008
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2018
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Albrecht Klemm, “The B-model approach to topological string theory on Calabi-Yau n-folds,” in B-model Gromov-Witten theory , Trends Math. (Birkhäuser/Springer, Cham, 2018) pp. 79–397
2018
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Duco van Straten, “Calabi-Yau operators,” in Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds & Picard-Fuchs equations , Adv. Lect. Math. (ALM), Vol. 42 (Int. Press, Somerville, MA, 2018) pp. 401–451
2018
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2018
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2010
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2010
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Lionel Mason and David Skinner, “Amplitudes at Weak Coupling as Polytopes in AdS 5
2011
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2013
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2016
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2017
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