New realizations of modular forms in Calabi-Yau threefolds arising from \(\phi^{4}\) theory

DOI10.1016/j.jnt.2017.08.025zbMath1420.11077arXiv1604.04918OpenAlexW2336630195MaRDI QIDQ1679626

Adam Logan

Publication date: 21 November 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04918

zbMATH Keywords

modular formsCalabi-Yau varieties\(\phi^4\) theory

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Relations with algebraic geometry and topology (11F23)

Related Items (4)

Some results on double triangle descendants of \(K_5\) ⋮ A result on the invariant for powers of primes ⋮ Further investigations into the graph theory of \(\phi^4\)-periods and the \(c_2\) invariant ⋮ A special case of completion invariance for the $c_2$ invariant of a graph

Uses Software

• Magma
• GENREG

Cites Work

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• Calabi-Yau threefolds fibred by mirror quartic \(K3\) surfaces
• Modular forms and \(K3\) surfaces
• On the modularity of rigid Calabi-Yau threefolds: epilogue
• A \(K3\) in \(\phi^{4}\)
• Properties of \(c_2\) invariants of Feynman graphs
• Rigid Calabi-Yau threefolds over \(\mathbb Q\) are modular
• On motives associated to graph polynomials
• Generalised Kummer constructions and Weil restrictions
• CM newforms with rational coefficients
• Quantum field theory techniques in graphical enumeration
• The Magma algebra system. I: The user language
• Matroids, motives, and a conjecture of Kontsevich.
• Modular forms in quantum field theory
• Singular derived categories of \(\mathbb{Q}\)-factorial terminalizations and maximal modification algebras
• A database of number fields
• On the Modularity of Three Calabi–Yau Threefolds With Bad Reduction at 11
• Feynman integrals and motives
• Fast generation of regular graphs and construction of cages
• Infinitesimal deformations of double covers of smooth algebraic varieties

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