From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity
DOI10.1016/j.nuclphysb.2023.116350arXiv2203.13613OpenAlexW4386619447MaRDI QIDQ6048353
Publication date: 10 October 2023
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.13613
Trees (05C05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Traveling wave solutions (35C07) Hopf algebras and their applications (16T05) Root systems (17B22) Logarithmic algebraic geometry, log schemes (14A21)
Cites Work
- Unnamed Item
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- Unnamed Item
- Set partitions and integrable hierarchies
- Quantum gravity partition functions in three dimensions
- AdS\({}_3\)/LCFT\({}_2\) -- correlators in cosmological topologically massive gravity
- Simple Hurwitz numbers of a disk
- Complete set of cut-and-join operators in the Hurwitz-Kontsevich theory
- Graviton 1-loop partition function for 3-dimensional massive gravity
- Chiral gravity in three dimensions
- The matrix model for dessins d'enfants
- Genus expansion of HOMFLY polynomials
- Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
- Matrix models for random partitions
- The moduli space of curves, double Hurwitz numbers, and Faber's intersection number conjecture
- Hurwitz numbers and products of random matrices
- Ward identities and combinatorics of rainbow tensor models
- Localization, Hurwitz numbers and the Witten conjecture
- Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
- Number of nonequivalent coverings over a nonorientable compact surface
- Lyapunov exponents of large, sparse random matrices and the problem of directed polymers with complex random weights
- Intersection theory on the moduli space of curves and the matrix Airy function
- Hopf algebras, renormalization and noncommutative geometry
- The large \(N\) limit of superconformal field theories and supergravity
- On the Hopf algebra strucutre of perturbative quantum field theories
- Normal coordinates and primitive elements in the Hopf algebra of renormalization
- Toda equations for Hurwitz numbers
- Trees, renormalization and differential equations.
- A note on the diffusion of directed polymers in a random environment
- Diffusion of directed polymers in a random environment.
- Polymers on disordered trees, spin glasses, and traveling waves.
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Masur-Veech volumes and intersection theory on moduli spaces of abelian differentials
- On the combinatorics of partition functions in $\mathrm{AdS}_3 / \mathrm{LCFT}_{2} $
- A matrix model for hypergeometric Hurwitz numbers
- BKP and projective Hurwitz numbers
- Rainbow tensor model with enhanced symmetry and extreme melonic dominance
- Algebra of differential operators associated with Young diagrams
- Relations between the Hopf algebra and the B-series with new concepts
- Gromov-Witten theory, Hurwitz theory, and completed cycles
- BOGOLUBOV'S RECURSION AND INTEGRABILITY OF EFFECTIVE ACTIONS
- Five interpretations of Fa\`a di Bruno's formula
- Holographic applications of logarithmic conformal field theories
- Riemann Surfaces and Algebraic Curves
- A short proof of the λg -conjecture without Gromov-Witten theory: Hurwitz theory and the moduli of curves
- Hurwitz numbers for regular coverings of surfaces by seamed surfaces and Cardy-Frobenius algebras of finite groups
- CONSISTENT BOUNDARY CONDITIONS FOR COSMOLOGICAL TOPOLOGICALLY MASSIVE GRAVITY AT THE CHIRAL POINT
- Coalgebras and Bialgebras in Combinatorics
- Conformal algebras of two-dimensional disordered systems
- Black hole in three-dimensional spacetime
- Integrable renormalization I: The ladder case
- ENUMERATION OF HOMOMORPHISMS AND SURFACE-COVERINGS
- Hidden structures of knot invariants
- On the combinatorics of several integrable hierarchies
- COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- An analogue of covering space theory for ranked posets
- Faà di Bruno Hopf algebras
