Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations
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arXiv
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| Formato: | Preprint |
| Publicado: |
1995
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| _version_ | 1866915189913288704 |
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| author | Fré, Pietro |
| author_facet | Fré, Pietro |
| contents | In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it relates to the typical geometric structures involved by N=2 supersymmetry, namely Special Kähler geometry for the vector multiplets and either HyperKähler or Quaternionic geometry for the hypermultiplets. I discuss classical continuous dualities versus non--perturbative discrete dualities. How the moduli space geometry of an auxiliary dynamical Riemann surface (or Calabi--Yau threefold) relates to exact space--time dualities is exemplified in detail for the Seiberg Witten model of an $SU(2)$ gauge theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_hep_th_9512043 |
| institution | arXiv |
| publishDate | 1995 |
| record_format | arxiv |
| spellingShingle | Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations Fré, Pietro High Energy Physics - Theory In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it relates to the typical geometric structures involved by N=2 supersymmetry, namely Special Kähler geometry for the vector multiplets and either HyperKähler or Quaternionic geometry for the hypermultiplets. I discuss classical continuous dualities versus non--perturbative discrete dualities. How the moduli space geometry of an auxiliary dynamical Riemann surface (or Calabi--Yau threefold) relates to exact space--time dualities is exemplified in detail for the Seiberg Witten model of an $SU(2)$ gauge theory. |
| title | Lectures on Special Kahler Geometry and Electric--Magnetic Duality Rotations |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/hep-th/9512043 |