On affine coordinates of the tau-function for open intersection numbers

@article{Wang2021OnAC,
  title={On affine coordinates of the tau-function for open intersection numbers},
  author={Zhiyuan Wang},
  journal={Nuclear Physics B},
  year={2021}
}
  • Zhiyuan Wang
  • Published 1 June 2021
  • Mathematics
  • Nuclear Physics B
View PDF on arXiv
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BKP hierarchy, affine coordinates, and a formula for connected bosonic n-point functions

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

Open intersection numbers and free fields

The combinatorial formula for open gravitational descendents

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

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

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

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

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…

Topological recursion for open intersection numbers

We present a topological recursion formula for calculating the intersection numbers defined on the moduli space of open Riemann surfaces. The spectral curve is $x = \frac{1}{2}y^2$, the same as…

Open intersection numbers, Kontsevich-Penner model and cut-and-join operators

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…

Towards unified theory of $2d$ gravity

Emergent Geometry of Matrix Models with Even Couplings

We show that to the modified GUE partition function with even coupling introduced by Dubrovin, Liu, Yang and Zhang, one can associate $n$-point correlation functions in arbitrary genera which satisfy…
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