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20022026
most citedA Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List

110 citations

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6 papers · 1 filter

math-ph2025

A Calogero Model with root string representatives of infinite order Coxeter orbits

Andreas Fring

We present a worked example for the new extensions of the multi-particle Calogero model endowed with infinite Weyl group symmetry of affine and hyperbolic type. Building upon the h…

math-ph2025★ 2 cited

Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model

Alexander Felski, Andreas Fring, Bethan Turner

We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory, by identifying the Lie symmetries of its associated fourth-order dynamical…

math-ph2014★ 14 cited

Multisymplectic approach to integrable defects in the sine-Gordon model

Vincent Caudrelier

Ideas from the theory of multisymplectic systems, introduced recently in integrable systems by the author and Kundu to discuss Liouville integrability in classical field theories w…

math-ph2014★ 31 cited

A multisymplectic approach to defects in integrable classical field theory

V. Caudrelier, A. Kundu

We introduce the concept of multisymplectic formalism, familiar in covariant field theory, for the study of integrable defects in 1+1 classical field theory. The main idea is the c…

math-ph2012★ 1 cited

Yang-Baxter and reflection maps from vector solitons with a boundary

V. Caudrelier, Q. C. Zhang

Based on recent results obtained by the authors on the inverse scattering method of the vector nonlinear Schrödinger equation with integrable boundary conditions, we discuss the fa…

math-ph2011★ 5 cited

Graph Zeta Function and Gauge Theories

Yang-Hui He

Along the recently trodden path of studying certain number theoretic properties of gauge theories, especially supersymmetric theories whose vacuum manifolds are non-trivial, we inv…