Boundary state analysis on the equivalence of T-duality and Nahm transformation in superstring theory

Details Boundary state analysis on the equivalence of T-duality and Nahm transformation in superstring theory Boundary state analysis on the equivalence of T-duality and Nahm transformation in superstring theory

2011-12-30

arxiv.org/abs/1201.0125v2

Physics

High Energy Physics

High Energy Physics - Theory

31 pages. v2: references added, typos corrected

Scientific paper

We investigated the equivalence of the T-duality for a bound state of D2 and D0-branes with the Nahm transformation of the corresponding gauge theory on a 2-dimensional torus, using the boundary state analysis in superstring theory. In contrast to the case of a 4-dimensional torus, it changes a sign in a topological charge, which seems puzzling when regarded as a D-brane charge. Nevertheless, it is shown that it agrees with the T-duality of the boundary state, including a minus sign. We reformulated boundary states in the RR-sector using a new representation of zeromodes, and show that the RR-coupling is invariant under the T-duality. Finally, the T-duality invariance at the level of the Chern-Simon coupling is shown by deriving the Buscher rule for the RR-potentials, known as the 'Hori formula', including the correct sign.

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