Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Borot, Gaëtan"'
We show that the $n$-point, genus-$g$ correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like $(2g - 2 + n)!$ as $g \rightarrow \infty$, which is the expected growth rate. This provides
Externí odkaz:
http://arxiv.org/abs/2409.17838
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
Externí odkaz:
http://arxiv.org/abs/2406.06304
We upgrade the results of Borot--Bouchard--Chidambaram--Creutzig to show that the Gaiotto vector in $\mathcal{N} = 2$ pure supersymmetric gauge theory admits an analytic continuation with respect to the energy scale (which can therefore be taken to b
Externí odkaz:
http://arxiv.org/abs/2403.16938
The general relation between Chekhov-Eynard-Orantin topological recursion and the intersection theory on the moduli space of curves, the deformation techniques in topological recursion, and the polynomiality properties with respect to deformation par
Externí odkaz:
http://arxiv.org/abs/2312.16049
Autor:
Borot, Gaëtan, Buc-d'Alché, Thomas
Publikováno v:
SIGMA 20 (2024), 054, 38 pages
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 asymptotic analysis of exact Pfaffian identities for expectation values of ra
Externí odkaz:
http://arxiv.org/abs/2312.12229
When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightfor
Externí odkaz:
http://arxiv.org/abs/2309.01654
Autor:
Borot, Gaëtan, Wulkenhaar, Raimar
Publikováno v:
SIGMA 20 (2024), 050, 16 pages
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 formulated in terms of Cartan-Pl\"ucker relations of certain averages of Sc
Externí odkaz:
http://arxiv.org/abs/2306.01501
Publikováno v:
In Journal of Geometry and Physics January 2025 207
We establish the functional relations between generating series of higher-order free cumulants and moments in higher-order free probability, solving an open problem posed fifteen years ago by Collins, Mingo, \'Sniady and Speicher. We propose an exten
Externí odkaz:
http://arxiv.org/abs/2112.12184