Abstract
Abstract
Motivated by the BPS/CFT correspondence, we explore the similarities be- tween the classical β-deformed Hermitean matrix model and the q-deformed matrix models associated to 3d $$ \mathcal{N} $$
N
= 2 supersymmetric gauge theories on D2×qS1 and $$ {S}_b^3 $$
S
b
3
by matching parameters of the theories. The novel results that we obtain are the correlators for the models, together with an additional result in the classical case consisting of the W -algebra representation of the generating function. Furthermore, we also obtain surprisingly simple expressions for the expectation values of characters which generalize previously known results.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference47 articles.
1. N. Nekrasov, On the BPS/CFT correspondence, lecture at The University of Amsterdam string theory group seminar, 3 February 2004.
2. N. Nekrasov, 2d CFT-type equations from 4d gauge theory, lecture at The IAS conference — Langlands Program and Physics, 8–10 March 2004.
3. V. Pestun et al., Localization techniques in quantum field theories, J. Phys. A 50 (2017) 440301 [arXiv:1608.02952] [INSPIRE].
4. A. Mironov and A. Morozov, On the origin of Virasoro constraints in matrix models: Lagrangian approach, Phys. Lett. B 252 (1990) 47 [INSPIRE].
5. R. Dijkgraaf, H.L. Verlinde and E.P. Verlinde, Loop equations and Virasoro constraints in nonperturbative 2-D quantum gravity, Nucl. Phys. B 348 (1991) 435 [INSPIRE].
Cited by
31 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献