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hep-th2025★ 5 cited

Canonical differential equations and intersection matrices

Claude Duhr, Sara Maggio, Franziska Porkert +3

Differential equations are one of the main approaches to evaluate multi-loop Feynman integrals. The construction of a canonical or -factorised basis for multi-loop int…

hep-th2025

from Resurgence at the Stokes Line

Griffen Adams, Ovidiu Costin, Gerald V. Dunne +2

In recent papers [1,2], a new method to cross the natural boundary has been proposed, and applied to Mordell-Borel integrals arising in the study of Chern-Simons theory, based on d…

hep-th2025

Hypergeometry from -Symmetry: Feynman Integrals in One and Two Dimensions

Gwenaël Ferrando, Florian Loebbert, Amelie Pitters +1

Feynman integrals with generic propagator powers in one and two spacetime dimensions are investigated from various perspectives. In particular, we argue that the class of track int…

hep-th2025★ 12 cited

Three-loop banana integrals with four unequal masses

Claude Duhr, Sara Maggio, Franziska Porkert +2

We present a system of canonical differential equations satisfied by the three-loop banana integrals with four distinct non-zero masses in $D = 2-2\eps$ dimensions. Together with t…

hep-th2025★ 2 cited

Orientation Reversal and the Chern-Simons Natural Boundary

Griffen Adams, Ovidiu Costin, Gerald V. Dunne +2

We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general p…

hep-th2025★ 1 cited

Vacuum energy in effective field theory of general relativity

E. Epelbaum, J. Gegelia, Ulf-G. Meißner

It is shown to all orders of perturbation theory that in the effective field theory of general relativity the condition of vanishing of the vacuum energy leads to the same value of…

hep-th2025★ 3 cited

Non-Local Symmetries of Planar Feynman Integrals

Florian Loebbert, Lucas Rüenaufer, Sven F. Stawinski

We prove the invariance of scalar Feynman graphs of any planar topology under the Yangian level-one momentum symmetry given certain constraints on the propagator powers. The proof…

hep-th2025★ 10 cited

On canonical differential equations for Calabi-Yau multi-scale Feynman integrals

Sara Maggio, Yoann Sohnle

We generalise a method recently introduced in the literature, that derives canonical differential equations, to multi-scale Feynman integrals with an underlying Calabi-Yau geometry…

hep-th2025★ 2 cited

Refined BPS numbers on compact Calabi-Yau threefolds from Wilson loops

Min-xin Huang, Sheldon Katz, Albrecht Klemm +1

We relate the counting of refined BPS numbers on compact elliptically fibred Calabi-Yau threefolds to Wilson loop expectations values in the gauge theories that emerge in vario…

hep-th2025★ 2 cited

Schubert defects in Lagrangian Grassmannians

W. Gu, L. Mihalcea, E. Sharpe +3

In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in…

hep-th2025

Shift orbifolds, decompactification limits, and lattices

Dan Israel, Ilarion V. Melnikov, Yann Proto

We describe the general shift orbifold of a Narain CFT and use this to investigate decompactification limits in the heterotic Narain moduli space. We also comment on higher rank th…

hep-th2025★ 4 cited

Antipodal self-duality of square fishnet graphs

Lance J. Dixon, Claude Duhr

In strongly-deformed planar super-Yang-Mills theory, or fishnet theory, a point-split single-trace correlation function of four dimension- scalar operators is given…

hep-th2024★ 28 cited

Canonical Differential Equations Beyond Genus One

Claude Duhr, Franziska Porkert, Sven F. Stawinski

We discuss for the first time canonical differential equations for hyperelliptic Feynman integrals. We study hyperelliptic Lauricella functions that include in particular the maxim…

hep-th2024★ 72 cited

Emergence of Calabi-Yau manifolds in high-precision black hole scattering

Mathias Driesse, Gustav Uhre Jakobsen, Albrecht Klemm +5

Using the worldline quantum field theory formalism, we compute the radiation-reacted impulse, scattering angle, radiated energy and recoil of a classical black hole (or neutron sta…

hep-th2024★ 4 cited

The Feyn-Structure of Yangian Symmetry

Florian Loebbert, Harshad Mathur

Yangian-type differential operators are shown to constrain Feynman integrals beyond the restriction to integrable graphs. In particular, we prove that all position-space Feynman di…

hep-th2024★ 8 cited

Conformal Four-Point Integrals: Recursive Structure, Toda Equations and Double Copy

Florian Loebbert, Sven F. Stawinski

We consider conformal four-point Feynman integrals to investigate how much of their mathematical structure in two spacetime dimensions carries over to higher dimensions. In particu…

hep-th2024★ 12 cited

Self-duality from twisted cohomology

Claude Duhr, Franziska Porkert, Cathrin Semper +1

Recently a notion of self-duality for differential equations of maximal cuts was introduced, which states that there should be a basis in which the matrix for an ε-factorised diffe…

hep-th2024★ 9 cited

Twisted Riemann bilinear relations and Feynman integrals

Claude Duhr, Franziska Porkert, Cathrin Semper +1

Using the framework of twisted cohomology, we study twisted Riemann bilinear relations (TRBRs) satisfied by multi-loop Feynman integrals and their cuts in dimensional regularisatio…

hep-th2024★ 1 cited

Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory

Changnan Peng, Maria Cristina Diamantini, Lena Funcke +5

In this paper, a Hamiltonian lattice formulation for 2+1D compact Maxwell-Chern-Simons theory is derived. We analytically solve this theory and demonstrate that the mass gap in the…

hep-th2024★ 3 cited

Flavor's Delight

Hans Peter Nilles, Saul Ramos-Sanchez

Discrete flavor symmetries provide a promising approach to understand the flavor sector of the standard model of particle physics. Top-down (TD) explanations from string theory rev…

hep-th2023★ 4 cited

An Elliptic One-Loop Amplitude in Anti-de-Sitter Space

Sven F. Stawinski

We present full analytic results for the four-point one-loop amplitude of a conformally coupled scalar in four-dimensional Anti-de-Sitter space dual to a primary operator with scal…

hep-th2023★ 41 cited

Matter matters in moduli fixing and modular flavor symmetries

Victor Knapp-Perez, Xiang-Gan Liu, Hans Peter Nilles +2

Modular flavor symmetries provide us with a very compelling approach to the flavor problem. It has been argued that moduli values close to some special values like or p…

hep-th2023★ 12 cited

Quantum geometry, stability and modularity

Sergei Alexandrov, Soheyla Feyzbakhsh, Albrecht Klemm +2

By exploiting new mathematical relations between Pandharipande-Thomas (PT) invariants, closely related to Gopakumar-Vafa (GV) invariants, and rank 0 Donaldson-Thomas (DT) invariant…

hep-th2022★ 45 cited

The ice cone family and iterated integrals for Calabi-Yau varieties

Claude Duhr, Albrecht Klemm, Christoph Nega +1

We present for the first time fully analytic results for multi-loop equal-mass ice cone graphs in two dimensions. By analysing the leading singularities of these integrals, we find…