On a complex-symplectic mirror pair
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2015
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| _version_ | 1866915154690572288 |
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| author | Aldi, Marco Heluani, Reimundo |
| author_facet | Aldi, Marco Heluani, Reimundo |
| contents | We study the canonical Poisson structure on the loop space of the super-double-twisted-torus and its quantization. As a consequence we obtain a rigorous construction of mirror symmetry as an intertwiner of the N=2 super-conformal structures on the super-symmetric sigma-models on the Kodaira-Thurston nilmanifold and a gerby torus of complex dimension 2. As an application we are able to identify global moduli of equivariant generalized complex structures on these target spaces with moduli of equivariant orthogonal complex structures on the doubled geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1512_02258 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On a complex-symplectic mirror pair Aldi, Marco Heluani, Reimundo Quantum Algebra High Energy Physics - Theory Algebraic Geometry We study the canonical Poisson structure on the loop space of the super-double-twisted-torus and its quantization. As a consequence we obtain a rigorous construction of mirror symmetry as an intertwiner of the N=2 super-conformal structures on the super-symmetric sigma-models on the Kodaira-Thurston nilmanifold and a gerby torus of complex dimension 2. As an application we are able to identify global moduli of equivariant generalized complex structures on these target spaces with moduli of equivariant orthogonal complex structures on the doubled geometry. |
| title | On a complex-symplectic mirror pair |
| topic | Quantum Algebra High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/1512.02258 |