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arXiv · 1307.6079

Fuzzy Conifold $Y_F^6$ and Monopoles on $S_F^2\times S_F^2$

Nirmalendu Acharyya·Sachindeo Vaidya
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Abstract

In this article, we construct the fuzzy (finite dimensional) analogues of the conifold $Y^6$ and its base $X^5$. We show that fuzzy $X^5$ is (the analogue of) a principal U(1) bundle over fuzzy spheres $S^2_F \times S^2_F$ and explicitly construct the associated monopole bundles. In particular our construction provides an explicit discretization of the spaces $T^{κ,κ}$ and $T^{κ,0}$.

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BibTeXRIS

Nirmalendu Acharyya, Sachindeo Vaidya. 2013-07-23. Fuzzy Conifold $Y_F^6$ and Monopoles on $S_F^2\times S_F^2$. https://doi.org/10.1142/s0217751x14500067

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