One Citation
BKP hierarchy, affine coordinates, and a formula for connected bosonic n-point functions
- MathematicsLetters in Mathematical Physics
- 2022
We derive a formula for the connected n-point functions of a tau-function of the BKP hierarchy in terms of its affine coordinates. This is a BKP-analogue of a formula for KP tau-functions proved by…
References
SHOWING 1-10 OF 57 REFERENCES
The combinatorial formula for open gravitational descendents
- Mathematics
- 2015
In recent works, [20],[21], descendent integrals on the moduli space of Riemann surfaces with boundary were defined. It was conjectured in [20] that the generating function of these integrals…
Geometric interpretation of Zhou’s explicit formula for the Witten–Kontsevich tau function
- Mathematics
- 2014
Based on the work of Itzykson and Zuber on Kontsevich’s integrals, we give a geometric interpretation and a simple proof of Zhou’s explicit formula for the Witten–Kontsevich tau function. More…
Open intersection numbers and the wave function of the KdV hierarchy
- Mathematics
- 2014
Recently R. Pandharipande, J. Solomon and R. Tessler initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that the generating series of…
Combinatorial models for moduli spaces of open Riemann surfaces
- Mathematics
- 2016
We present a simplified formulation of open intersection numbers, as an alternative to the theory initiated by Pandharipande, Solomon and Tessler. The relevant moduli spaces consist of Riemann…
Refined open intersection numbers and the Kontsevich-Penner matrix model
- Mathematics
- 2017
A bstractA study of the intersection theory on the moduli space of Riemann surfaces with boundary was recently initiated in a work of R. Pandharipande, J.P. Solomon and the third author, where they…
Intersection theory on moduli of disks, open KdV and Virasoro
- Mathematics
- 2014
We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the�-function of an open KdV hierar- chy. A…
Matrix Models and A Proof of the Open Analog of Witten’s Conjecture
- Mathematics
- 2015
In a recent work, R. Pandharipande, J. P. Solomon and the second author have initiated a study of the intersection theory on the moduli space of Riemann surfaces with boundary. They conjectured that…
Open intersection numbers, Kontsevich-Penner model and cut-and-join operators
- Mathematics
- 2014
A bstractWe continue our investigation of the Kontsevich-Penner model, which describes intersection theory on moduli spaces both for open and closed curves. In particular, we show how Buryak’s…
Grothendieck’s dessins d’enfants in a web of dualities. III
- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2023
We give a new proof of the equivalence between the dessin partition function and the partition function of the Laguerre unitary ensemble (LUE), originally found by Ambjørn and Chekhov. We also…