5 papers · 1 filter
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…
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…
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…
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…