Feynman integrals and mirror symmetry (Q827164)

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scientific article; zbMATH DE number 7290810

Language	Label	Description	Also known as
English	Feynman integrals and mirror symmetry	scientific article; zbMATH DE number 7290810

Statements

scholarly article

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Feynman integrals and mirror symmetry (English)

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publication date

7 January 2021

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MaRDI profile type

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full work available at URL

https://doi.org/10.1007/978-3-030-42400-8_7

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Classical space-times from the S-matrix

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On-shell techniques and universal results in quantum gravity

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Leading singularities and classical gravitational scattering

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Holomorphic classical limit for spin effects in gravitational and electromagnetic scattering

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Hypergeometric representation of the two-loop equal mass sunrise diagram

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Elliptic integral evaluations of Bessel moments and applications

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Feynman integrals, \(L\)-series and Kloosterman moments

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The threshold expansion of the 2-loop sunrise self-mass master amplitudes

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Analytic treatment of the two loop equal mass sunrise graph

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The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms

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The two-loop sunrise integral around four space-time dimensions and generalisations of the Clausen and Glaisher functions towards the elliptic case

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The iterated structure of the all-order result for the two-loop sunrise integral

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Feynman integrals and iterated integrals of modular forms

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Local mirror symmetry and the sunset Feynman integral

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Refined stable pair invariants for E-, M- and \([p,q]\)-strings

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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces

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Local mirror symmetry: Calculations and interpretations

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Algebraic \(K\)-theory of toric hypersurfaces

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The physics and the mixed Hodge structure of Feynman integrals

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FEYNMAN GRAPH POLYNOMIALS

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Tropical amplitudes

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Feynman amplitudes and limits of heights

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Generalized Feynman Amplitudes. (AM-62)

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On the maximal cut of Feynman integrals and the solution of their differential equations

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Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph

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Maximal cuts in arbitrary dimension

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Cuts of Feynman integrals in Baikov representation

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On the periods of certain rational integrals. I, II

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Feynman integral relations from parametric annihilators

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Generalized Euler integrals and \(A\)-hypergeometric functions

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Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori

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On the Hodge structure of projective hypersurfaces in toric varieties

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GKZ Hypergeometric Structures

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Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties

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GKZ Systems, Gr\"obner Fans and Moduli Spaces of Calabi-Yau Hypersurfaces

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Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces

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Monodromy of \(A\)-hypergeometric functions

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Resonant hypergeometric systems and mirror symmetry

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The two-loop sunrise graph with arbitrary masses

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A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.

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Picard-Fuchs equations and mirror maps for hypersurfaces

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The elliptic dilogarithm for the sunset graph

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A Feynman integral via higher normal functions

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The method of creative telescoping

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An extension of Zeilberger's fast algorithm to general holonomic functions

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Advanced applications of the holonomic systems approach

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The number of master integrals is finite

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Elliptic Feynman integrals and pure functions

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An elliptic generalization of multiple polylogarithms

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Introduction to Toric Varieties. (AM-131)

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Toric varieties

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On motives associated to graph polynomials

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Geometric engineering of quantum field theories

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The kite integral to all orders in terms of elliptic polylogarithms

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Analytic continuation and numerical evaluation of the kite integral and the equal mass sunrise integral

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-42400-8_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:827164

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