177 citations · 906 across the 50 of their papers we have counts for
31 papers · 1 filter
The factorial growth of topological recursion
Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto
We show that the -point, genus- correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like as $g…
Symmetries of F-cohomological field theories and F-topological recursion
Gaëtan Borot, Alessandro Giacchetto, Giacomo Umer
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 o…
Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers
Gaëtan Borot, Nitin Kumar Chidambaram, Giacomo Umer
We upgrade the results of Borot--Bouchard--Chidambaram--Creutzig to show that the Gaiotto vector in pure supersymmetric gauge theory admits an analytic conti…
Fay Identities of Pfaffian Type for Hyperelliptic Curves
Gaëtan Borot, Thomas Buc-d'Alché
We establish identities of Pfaffian type for the theta function associated with twice or half the period matrix of a hyperelliptic curve. They are implied by the large size asympto…
A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential
Gaëtan Borot, Raimar Wulkenhaar
We exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential. The result can be equivalently formu…
Whittaker vectors for -algebras from topological recursion
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram +1
We identify Whittaker vectors for -modules with partition functions of higher Airy structures. This implies that Gaiotto vectors, describing the fundam…