Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model

İsmet YURDUŞEN (Hacettepe Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)
Turkish Journal of Mathematics
2 0
Yıl: 2022 Cilt: 46 Sayı: 6 Sayfa Aralığı: 2485 - 2499 Metin Dili: İngilizce DOI: 10.55730/1300-0098.3282 İndeks Tarihi: 12-12-2022

Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model

Öz:
The surfaces constructed from the holomorphic solutions of the supersymmetric (susy) $mathbb{C}P^{N-1}$ sigma model are studied. By obtaining compact general expansion formulae having neat forms due to the properties of the superspace in which this model is described, the explicit expressions for the components of the radius vector as well as the elements of the metric and the Gaussian curvature are given in a rather natural manner. Several examples of constant curvature surfaces for the susy $mathbb{C}P^{2}$ sigma model are presented.
Anahtar Kelime: Supersymmetric curvature sigma models

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Yurduşen İ (2022). Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. , 2485 - 2499. 10.55730/1300-0098.3282
Chicago Yurduşen İsmet Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. (2022): 2485 - 2499. 10.55730/1300-0098.3282
MLA Yurduşen İsmet Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. , 2022, ss.2485 - 2499. 10.55730/1300-0098.3282
AMA Yurduşen İ Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. . 2022; 2485 - 2499. 10.55730/1300-0098.3282
Vancouver Yurduşen İ Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. . 2022; 2485 - 2499. 10.55730/1300-0098.3282
IEEE Yurduşen İ "Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model." , ss.2485 - 2499, 2022. 10.55730/1300-0098.3282
ISNAD Yurduşen, İsmet. "Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model". (2022), 2485-2499. https://doi.org/10.55730/1300-0098.3282
APA Yurduşen İ (2022). Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. Turkish Journal of Mathematics, 46(6), 2485 - 2499. 10.55730/1300-0098.3282
Chicago Yurduşen İsmet Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. Turkish Journal of Mathematics 46, no.6 (2022): 2485 - 2499. 10.55730/1300-0098.3282
MLA Yurduşen İsmet Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. Turkish Journal of Mathematics, vol.46, no.6, 2022, ss.2485 - 2499. 10.55730/1300-0098.3282
AMA Yurduşen İ Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. Turkish Journal of Mathematics. 2022; 46(6): 2485 - 2499. 10.55730/1300-0098.3282
Vancouver Yurduşen İ Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model. Turkish Journal of Mathematics. 2022; 46(6): 2485 - 2499. 10.55730/1300-0098.3282
IEEE Yurduşen İ "Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model." Turkish Journal of Mathematics, 46, ss.2485 - 2499, 2022. 10.55730/1300-0098.3282
ISNAD Yurduşen, İsmet. "Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model". Turkish Journal of Mathematics 46/6 (2022), 2485-2499. https://doi.org/10.55730/1300-0098.3282
Sayfa Oluşturulma Tarihi
24-04-2024 4:53

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