Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.
Single-valued integration and superstring amplitudes in genus zero
8 Pith papers cite this work. Polarity classification is still indexing.
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Proves maximal transcendentality to all orders for the vacuum-energy expansion of the double-scaled large-N PCM, with coefficients as rational polynomials in odd zeta values after a natural coupling shift.
A construction of single-valued elliptic polylogarithms on the punctured elliptic curve is given that reduces to Brown's genus-zero condition upon torus degeneration.
Proves conjectural reformulation of motivic coaction and single-valued maps via zeta generators for multiple polylogarithms at genus zero on the Riemann sphere.
Single-valued polylogarithms are constructed on higher-genus once-punctured Riemann surfaces with trivial monodromy, related to prior work and used to identify the Arakelov Green's function.
All-multiplicity building blocks for AdS string amplitudes are defined by dressing flat-space integrals with polylogarithms, yielding derived monodromy relations for open strings and KLT factorization for closed strings.
Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple modular values.
SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.
citing papers explorer
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Twisted de Rham theory for string double copy in AdS
Noncommutative twisted de Rham theory derives the intersection number of open-string contours whose inverse is the double-copy kernel for four-point AdS string generating functions.
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Maximal Transcendentality of the Double-Scaled PCM
Proves maximal transcendentality to all orders for the vacuum-energy expansion of the double-scaled large-N PCM, with coefficients as rational polynomials in odd zeta values after a natural coupling shift.
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A construction of single-valued elliptic polylogarithms
A construction of single-valued elliptic polylogarithms on the punctured elliptic curve is given that reduces to Brown's genus-zero condition upon torus degeneration.
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Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Proves conjectural reformulation of motivic coaction and single-valued maps via zeta generators for multiple polylogarithms at genus zero on the Riemann sphere.
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Single-valued polylogarithms for higher genera
Single-valued polylogarithms are constructed on higher-genus once-punctured Riemann surfaces with trivial monodromy, related to prior work and used to identify the Arakelov Green's function.
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All-multiplicity monodromy and KLT relations for AdS string integrals
All-multiplicity building blocks for AdS string amplitudes are defined by dressing flat-space integrals with polylogarithms, yielding derived monodromy relations for open strings and KLT factorization for closed strings.
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Towards Motivic Coactions at Genus One from Zeta Generators
Proposes motivic coaction formulae for genus-one iterated integrals over holomorphic Eisenstein series using zeta generators, verifies expected coaction properties, and deduces f-alphabet decompositions of multiple modular values.
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SubTropica
SubTropica is a software package that automates symbolic integration of linearly-reducible Euler integrals via tropical subtraction, supported by HyperIntica and an AI-driven Feynman integral database.