24 citations · 24 across the 1 of their papers we have counts for
4 papers
A Hamiltonian Formalism for Topological Recursion
Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki
We propose a string field Hamiltonian formalism that associates a class of spectral curves and provides their quantization through the Chekhov-Eynard-Orantin topological recursion.…
Multicritical Dynamical Triangulations and Topological Recursion
Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki
We explore a continuum theory of multicritical dynamical triangulations and causal dynamical triangulations in two-dimensional quantum gravity from the perspective of the Chekhov-E…
Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
Hiroyuki Fuji, Masahide Manabe, Yoshiyuki Watabiki
We show that, in two-dimensional Euclidean quantum gravity without matter fields, the Schwinger-Dyson equations derived within the Hamiltonian framework of non-critical string fiel…
The Volume Conjecture and Topological Strings
Robbert Dijkgraaf, Hiroyuki Fuji
In this paper, we discuss a relation between Jones-Witten theory of knot invariants and topological open string theory on the basis of the volume conjecture. We find a similar Hami…