| Autor: |
Herrera, Rafael, Santana, Noemi |
| Rok vydání: |
2015 |
| Předmět: |
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| Zdroj: |
SIGMA 15 (2019), 072, 48 pages |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.3842/SIGMA.2019.072 |
| Popis: |
We introduce a notion of twisted pure spinor in order to characterize, in a unified way, all the special Riemannian holonomy groups just as a classical pure spinor characterizes the special K\"ahler holonomy. Motivated by certain curvature identities satisfied by manifolds admitting parallel twisted pure spinors, we also introduce the Clifford monopole equations as a natural geometric generalization of the Seiberg-Witten equations. We show that they restrict to the Seiberg-Witten equations in 4 dimensions, and that they admit non-trivial solutions on manifolds with special Riemannian holonomy. |
| Databáze: |
arXiv |
| Externí odkaz: |
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