Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
| Autor: | Kimura, Tetsuji, Sasaki, Shin, Shiozawa, Kenta |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | JHEP06(2022)119 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP06(2022)119 |
| Popis: | We investigate doubled (generalized) complex structures in $2D$-dimensional Born geometries where T-duality symmetry is manifestly realized. We show that K\"{a}hler, hyperk\"{a}hler, bi-hermitian and bi-hypercomplex structures of spacetime are implemented in Born geometries as doubled structures. We find that the Born structures and the generalized K\"{a}hler (hyperk\"{a}hler) structures appear as subalgebras of bi-quaternions and split-tetra-quaternions. We find parts of these structures are classified by Clifford algebras. We then study the T-duality nature of the worldsheet instantons in Born sigma models. We show that the instantons in K\"{a}hler geometries are related to those in bi-hermitian geometries in a non-trivial way. Comment: 44 pages, minor corrections |
| Databáze: | arXiv |
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