Journal: Communications in Mathematical Physics

Abbreviation

Commun. Math. Phys.

Publisher

Springer

Journal Volumes

ISSN

1432-0916
0010-3616

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Publications 1 - 10 of 154
  • Dimers on Surface Graphs and Spin Structures. II
    Item type: Journal Article
    Cimasoni, David; Reshetikhin, Nicolai (2008)
    Communications in Mathematical Physics
  • Integrability in the Chiral Model of Magic Angles
    Item type: Journal Article
    Becker, Simon; Humbert, Tristan; Zworski, Maciej (2023)
    Communications in Mathematical Physics
    Magic angles in the chiral model of twisted bilayer graphene are parameters for which the chiral version of the Bistritzer–MacDonald Hamiltonian exhibits a flat band at energy zero. We compute the sums over powers of (complex) magic angles and use that to show that the set of magic angles is infinite. We also provide a new proof of the existence of the first real magic angle, showing also that the corresponding flat band has minimal multiplicity for the simplest possible choice of potentials satisfying all symmetries. These results indicate (though do not prove) a hidden integrability of the chiral model.
  • Semiclassical Quantization Conditions in Strained Moiré Lattices
    Item type: Journal Article
    Becker, Simon; Wittsten, Jens (2024)
    Communications in Mathematical Physics
    In this article we generalize the Bohr–Sommerfeld rule for scalar symbols at a potential well to matrix-valued symbols having eigenvalues that may coalesce precisely at the bottom of the well. As an application, we study the existence of approximately flat bands in moiré heterostructures such as strained two-dimensional honeycomb lattices in a model recently introduced by Timmel and Mele.
  • Green's function for the Hodge Laplacian on some classes of Riemannian and Lorentzian symmetric spaces
    Item type: Journal Article
    Enciso, Alberto; Kamran, Niky (2009)
    Communications in Mathematical Physics
  • The Proper Landau–Ginzburg Potential, Intrinsic Mirror Symmetry and the Relative Mirror Map
    Item type: Journal Article
    You, Fenglong (2024)
    Communications in Mathematical Physics
    Given a smooth log Calabi–Yau pair (X, D), we use the intrinsic mirror symmetry construction to define the mirror proper Landau–Ginzburg potential and show that it is a generating function of two-point relative Gromov–Witten invariants of (X, D). We compute certain relative invariants with several negative contact orders, and then apply the relative mirror theorem of Fan et al. (Sel Math (NS) 25(4): Art. 54, 25, 2019. https://doi.org/10.1007/s00029-019-0501-z) to compute two-point relative invariants. When D is nef, we compute the proper Landau–Ginzburg potential and show that it is the inverse of the relative mirror map. Specializing to the case of a toric variety X, this implies the conjecture of m Gräfnitz et al. (2022) that the proper Landau–Ginzburg potential is the open mirror map. When X is a Fano variety, the proper potential is related to the anti-derivative of the regularized quantum period.
  • Boson Stars as Solitary Waves
    Item type: Journal Article
    Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno (2007)
    Communications in Mathematical Physics
  • Solitary wave dynamics in an external potential
    Item type: Journal Article
    Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; et al. (2004)
    Communications in Mathematical Physics
  • Symmetries of F-Cohomological Field Theories and F-Topological Recursion
    Item type: Journal Article
    Borot, Gaëtan; Giacchetto, Alessandro; Umer, Giacomo (2025)
    Communications in Mathematical Physics
    We define F-topological recursion (F-TR) as a non-symmetric version of topological recursion, which associates a vector potential to some initial data. We describe the symmetries of the initial data for F-TR and show that, at the level of the vector potential, they include the F-Givental (non-linear) symmetries studied by Arsie, Buryak, Lorenzoni, and Rossi within the framework of F-manifolds. Additionally, we propose a spectral curve formulation of F-topological recursion. This allows us to extend the correspondence between semisimple cohomological field theories (CohFTs) and topological recursion, as established by Dunin-Barkowski, Orantin, Shadrin, and Spitz, to the F-world. In the absence of a full reconstruction theorem à la Teleman for F-CohFTs, this demonstrates that F-TR holds for the ancestor vector potential of a given F-CohFT if and only if it holds for some F-CohFT in its F-Givental orbit. We turn this into a useful statement by showing that the correlation functions of F-topological field theories (F-CohFTs of cohomological degree 0) are governed by F-TR. We apply these results to the extended 2-spin F-CohFT. Furthermore, we exhibit a large set of linear symmetries of F-CohFTs, which do not commute with the F-Givental action.
  • Adiabatic Theorems for Quantum Resonances
    Item type: Journal Article
    Abou Salem, Walid K.; Fröhlich, Jürg (2007)
    Communications in Mathematical Physics
  • Exponential Relaxation to Equilibrium for a One-Dimensional Focusing Non-Linear Schrödinger Equation with Noise
    Item type: Journal Article
    Carlen, Eric A.; Fröhlich, Jürg; Lebowitz, Joel (2016)
    Communications in Mathematical Physics
Publications 1 - 10 of 154