Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-08-08
Phys.Lett. B551 (2003) 360-368
Physics
High Energy Physics
High Energy Physics - Theory
13 pages; v2: minor changes, version to appear in PLB
Scientific paper
10.1016/S0370-2693(02)03073-3
We discuss gauge fields on tori in diverse dimensions, mainly in two and four dimensions. We construct various explicit gauge fields which have some topological charges and find the Dirac zero modes in the background of the gauge fields. By using the zero mode, we give new gauge fields on the dual torus, which is a gauge theoretical description of T-duality transformation of the corresponding D-brane systems including DDbar systems. From the transformation, we can easily see the duality expected from the index theorem. It is also mentioned that, for each topological charges, the corresponding constant curvature bundle can be constructed and their duality transformation can be performed in terms of Heisenberg modules.
Hamanaka Masashi
Kajiura Hiroshige
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