Multi-instantons and multicuts

@article{Mario2009MultiinstantonsAM,
  title={Multi-instantons and multicuts},
  author={M. Mari{\~n}o and R. Schiappa and M. Weiss},
  journal={Journal of Mathematical Physics},
  year={2009},
  volume={50},
  pages={052301}
}
We discuss various aspects of multi-instanton configurations in generic multicut matrix models. Explicit formulas are presented in the two-cut case and, in particular, we obtain general formulas for multi-instanton amplitudes in the one-cut matrix model case as a degeneration of the two-cut case. These formulas show that the instanton gas is ultradilute due to the repulsion among the matrix model eigenvalues. We exemplify and test our general results in the cubic matrix model, where multi… Expand
70 Citations

Figures from this paper

Direct integration and non-perturbative effects in matrix models
  • 35
  • Highly Influenced
  • PDF
Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
  • 144
  • PDF
The Resurgence of Instantons: Multi-Cut Stokes Phases and the Painlevé II Equation
  • 59
  • PDF
Tracy-Widom distribution as instanton sum of 2D IIA superstrings
  • 9
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 52 REFERENCES
ZZ brane amplitudes from matrix models
  • 28
  • Highly Influential
  • PDF
Nonperturbative effects and nonperturbative definitions in matrix models and topological strings
  • 144
  • PDF
Phases of the large-N matrix model and non-perturbative effects in 2D gravity
  • 132
NON-PERTURBATIVE EFFECTS IN MATRIX MODELS AND VACUA OF TWO DIMENSIONAL GRAVITY
  • 91
  • Highly Influential
  • PDF
2D gravity and random matrices
  • 982
  • Highly Influential
  • PDF
Breakdown of universality in multi-cut matrix models
  • 155
  • Highly Influential
  • PDF
...
1
2
3
4
5
...