90 citations · 300 across the 8 of their papers we have counts for
10 papers
Matrix models for topological strings: exact results in the planar limit
Szabolcs Zakany
We study the large N expansion of a family of matrix models related to topological strings on toric Calabi-Yau threefolds. These matrix models compute spectral observables of under…
Exact quantization conditions for the elliptic Ruijsenaars-Schneider model
Yasuyuki Hatsuda, Antonio Sciarappa, Szabolcs Zakany
We propose and test exact quantization conditions for the -particle quantum elliptic Ruijsenaars-Schneider integrable system, as well as its Calogero-Moser limit, based on the c…
Quantum curves as quantum distributions
Marcos Marino, Szabolcs Zakany
Topological strings on toric Calabi--Yau threefolds can be defined non-perturbatively in terms of a free Fermi gas of N particles. Using this approach, we propose a definition of q…
Quantized mirror curves and resummed WKB
Szabolcs Zakany
Based on previous insights, we present an ansatz to obtain quantization conditions and eigenfunctions for a family of difference equations which arise from quantized mirror curves…
Wavefunctions, integrability, and open strings
Marcos Marino, Szabolcs Zakany
It has been recently conjectured that the exact eigenfunctions of quantum mirror curves can be obtained by combining their WKB expansion with the open topological string wavefuncti…
Exact eigenfunctions and the open topological string
Marcos Marino, Szabolcs Zakany
Mirror curves to toric Calabi-Yau threefolds can be quantized and lead to trace class operators on the real line. The eigenvalues of these operators are encoded in the BPS invarian…
TBA-like integral equations from quantized mirror curves
Kazumi Okuyama, Szabolcs Zakany
Quantizing the mirror curve of certain toric Calabi-Yau (CY) three-folds leads to a family of trace class operators. The resolvent function of these operators is known to encode to…
Matrix models from operators and topological strings, 2
Rinat Kashaev, Marcos Marino, Szabolcs Zakany
The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provid…
Matrix models from operators and topological strings
Marcos Marino, Szabolcs Zakany
We propose a new family of matrix models whose 1/N expansion captures the all-genus topological string on toric Calabi-Yau threefolds. These matrix models are constructed from the…
Resumming the string perturbation series
Alba Grassi, Marcos Marino, Szabolcs Zakany
We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory. Although the series is Borel…