Two dialects for KZB equations: generating one-loop open-string integrals
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Publication:2660203
DOI10.1007/JHEP12(2020)036zbMath1457.83069arXiv2007.03712WikidataQ114232472 ScholiaQ114232472MaRDI QIDQ2660203
André Kaderli, Oliver Schlotterer, Johannes Broedel
Publication date: 29 March 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.03712
String and superstring theories in gravitational theory (83E30) (2)-body potential quantum scattering theory (81U05) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (5)
Towards closed strings as single-valued open strings at genus one ⋮ Open-string integrals with multiple unintegrated punctures at genus one ⋮ Tree-level amplitudes from the pure spinor superstring ⋮ Elliptic modular graph forms. I: Identities and generating series ⋮ Coaction and double-copy properties of configuration-space integrals at genus zero
Cites Work
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- Differential equations, associators, and recurrences for amplitudes
- Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
- Elliptic double zeta values
- Euclidean wormholes in string theory
- Elliptic Feynman integrals and pure functions
- From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
- Gauss-Manin connection of integral of difference products
- Tata lectures on theta. III
- The box graph in superstring theory
- Heterotic and bosonic string amplitudes via field theory
- Berends-Giele recursion for double-color-ordered amplitudes
- One-loop corrections from higher dimensional tree amplitudes
- Non-abelian \(Z\)-theory: Berends-Giele recursion for the \(\alpha^{'}\)-expansion of disk integrals
- Combinatorics and topology of Kawai-Lewellen-Tye relations
- Identities between modular graph forms
- Modular graph functions
- Local integrals for planar scattering amplitudes
- Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills
- From polygons and symbols to polylogarithmic functions
- The \(\varepsilon\)-form of the differential equations for Feynman integrals in the elliptic case
- Special values of hyperlogarithms and linear difference schemes
- On some derivations of Lie algebras related to Galois representations
- All-order differential equations for one-loop closed-string integrals and modular graph forms
- One-loop open-string integrals from differential equations: all-order \(\alpha '\)-expansions at \(n\) points
- Loop amplitudes and quantum homotopy algebras
- Notes on the universal elliptic KZB connection
- Absence of irreducible multiple zeta-values in melon modular graph functions
- Genus-zero and genus-one string amplitudes and special multiple zeta values
- Exploring transcendentality in superstring amplitudes
- A class of non-holomorphic modular forms. I
- Single-valued multiple zeta values in genus \(1\) superstring amplitudes
- Complete \(N\)-point superstring disk amplitude I. Pure spinor computation
- Complete \(N\)-point superstring disk amplitude II. Amplitude and hypergeometric function structure
- On the field theory expansion of superstring five point amplitudes
- Elliptic associators
- Elliptic multiple zeta values and one-loop superstring amplitudes
- Grassmannian Geometry of Scattering Amplitudes
- Polylogarithms, multiple zeta values and superstring amplitudes
- Analogues elliptiques des nombres multiz\'etas
- New Representations of the Perturbative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi></mml:mrow></mml:math>Matrix
- Relations between elliptic multiple zeta values and a special derivation algebra
- A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
- Overview on Elliptic Multiple Zeta Values
- Volumes of hyperbolic manifolds and mixed Tate motives
- Lie Elements and Knuth Relations
- Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
- Universal KZB Equations: The Elliptic Case
- Kontsevich’s integral for the Kauffman polynomial
- A note on the Drinfeld associator for genus-zero superstring amplitudes in twisted de Rham theory
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