Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector

Wang, Rui; Wang, Shikun; Wu, Ke; Wang, Zhao

doi:10.1007/jhep11(2020)119

Cited by 4 publications

(1 citation statement)

References 38 publications

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“…The character expansions of these models can be given by the Jack polynomials. The studies of W -representations have also been devoted to the supersymmetric generalizations of matrix models, i.e., supereigenvalue models [5,6].…”

Section: Introductionmentioning

confidence: 99%

W-representation of Rainbow tensor model

Kang

Wang

et al. 2021

J. High Energ. Phys.

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We analyze the rainbow tensor model and present the Virasoro constraints, where the constraint operators obey the Witt algebra and null 3-algebra. We generalize the method of W-representation in matrix model to the rainbow tensor model, where the operators preserving and increasing the grading play a crucial role. It is shown that the rainbow tensor model can be realized by acting on elementary function with exponent of the operator increasing the grading. We derive the compact expression of correlators and apply it to several models, i.e., the red tensor model, Aristotelian tensor model and r = 4 rainbow tensor model. Furthermore, we discuss the case of the non-Gaussian red tensor model and present a dual expression for partition function through differentiation.

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Section: Introductionmentioning

confidence: 99%

W-representation of Rainbow tensor model

Kang

Wang

et al. 2021

J. High Energ. Phys.

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Supersymmetric partition function hierarchies and character expansions

Wang,

Liu,

et al. 2023

Eur. Phys. J. C

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We construct the supersymmetric $$\beta $$ β and (q, t)-deformed Hurwitz–Kontsevich partition functions through W-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively. Based on the constructed $$\beta $$ β and (q, t)-deformed superoperators, we further give the supersymmetric $$\beta $$ β and (q, t)-deformed partition function hierarchies through W-representations. We also present the generalized super Virasoro constraints, where the constraint operators obey the generalized super Virasoro algebra and null super 3-algebra. Moreover, the superintegrability for these (non-deformed) supersymmetric hierarchies is shown by their character expansions, i.e., $$<character>\sim character$$ < c h a r a c t e r > ∼ c h a r a c t e r .

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Constraints of a two-matrix model and two-supereigenvalue models

Zhu,

Wang,

Wang

et al. 2024

Int. J. Mod. Phys. A

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In this paper, we reinvestigate a two-matrix model with three sets of coupling constants and derive two series of constraints. One series of the constraint operators yield the exact [Formula: see text] algebra. Other constraints are derived from the higher-order total derivatives which are associated with the free fermion point of the Calogero system. We further construct the two-supereigenvalue models and derive their super-Virasoro constraints.

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Correlators in the Gaussian and chiral supereigenvalue models in the Neveu-Schwarz sector

Cited by 4 publications

References 38 publications

W-representation of Rainbow tensor model

W-representation of Rainbow tensor model

Supersymmetric partition function hierarchies and character expansions

Constraints of a two-matrix model and two-supereigenvalue models

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