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A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA)
Santilli, Leonardo & Tierz, M. (2020). Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type. Journal of Physics A: Mathematical and Theoretical. 53 (42), 425201-425201
Exportar Referência (IEEE)
S. Leonardo and M. T. Parra,  "Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type", in Journal of Physics A: Mathematical and Theoretical, vol. 53, no. 42, pp. 425201-425201, 2020
Exportar BibTeX
@article{leonardo2020_1714226112727,
	author = "Santilli, Leonardo and Tierz, M.",
	title = "Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type",
	journal = "Journal of Physics A: Mathematical and Theoretical",
	year = "2020",
	volume = "53",
	number = "42",
	doi = "10.1088/1751-8121/abb6b0",
	pages = "425201-425201",
	url = "https://doi.org/10.1088/1751-8121/abb6b0"
}
Exportar RIS
TY  - JOUR
TI  - Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type
T2  - Journal of Physics A: Mathematical and Theoretical
VL  - 53
IS  - 42
AU  - Santilli, Leonardo
AU  - Tierz, M.
PY  - 2020
SP  - 425201-425201
SN  - 1751-8113
DO  - 10.1088/1751-8121/abb6b0
UR  - https://doi.org/10.1088/1751-8121/abb6b0
AB  - The Langmann–Szabo–Zarembo (LSZ) matrix model is a complex matrix model with a quartic interaction and two external matrices. The model appears in the study of a scalar field theory on the non-commutative plane. We prove that the LSZ matrix model computes the probability of atypically large fluctuations in the Stieltjes–Wigert matrix model, which is a q-ensemble describing U(N) Chern–Simons theory on the three-sphere. The correspondence holds in a generalized sense: depending on the spectra of the two external matrices, the LSZ matrix model either describes probabilities of large fluctuations in the Chern–Simons partition function, in the unknot invariant or in the two-unknot invariant. We extend the result to supermatrix models, and show that a generalized LSZ supermatrix model describes the probability of atypically large fluctuations in the ABJ(M) matrix model.
ER  -