Semantic Scholar Open Access 2018 19 sitasi

Discrete Painlevé system and the double scaling limit of the matrix model for irregular conformal block and gauge theory

H. Itoyama T. Oota K. Yano

Lihat Sumber DOI

Abstrak

Abstract We study the partition function of the matrix model of finite size that realizes the irregular conformal block for the case of the N = 2 supersymmetric S U ( 2 ) gauge theory with N f = 2 . This model has been obtained in arXiv:1008.1861 [hep-th] as the massive scaling limit of the β-deformed matrix model representing the conformal block. We point out that the model for the case of β = 1 can be recast into a unitary matrix model with log potential and show that it is exhibited as a discrete Painleve system by the method of orthogonal polynomials. We derive the Painleve II equation, taking the double scaling limit in the vicinity of the critical point which is the Argyres–Douglas type point of the corresponding spectral curve. By the 0d-4d dictionary, we obtain the time variable and the parameter of the double scaled theory respectively from the sum and the difference of the two mass parameters scaled to their critical values.

Topik & Kata Kunci

Physics

Penulis (3)

H. Itoyama

T. Oota

K. Yano

Format Sitasi

APA MLA BibTeX

Itoyama, H., Oota, T., Yano, K. (2018). Discrete Painlevé system and the double scaling limit of the matrix model for irregular conformal block and gauge theory. https://doi.org/10.1016/j.physletb.2018.10.077

Akses Cepat

Lihat di Sumber doi.org/10.1016/j.physletb.2018.10.077

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Total Sitasi: 19×
Sumber Database: Semantic Scholar
DOI: 10.1016/j.physletb.2018.10.077
Akses: Open Access ✓