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Prog. Theor. Phys. Vol. 127 No. 4 (2012) pp. 665-687

[ Full Text PDF : FREE ACCESS (240K) ]

Boundary State Analysis on the Equivalence of T-Duality and Nahm Transformation in Superstring Theory

Tsuguhiko Asakawa, Ursula Carow-Watamura, Yoshiro Teshima and Satoshi Watamura

Department of Physics, Graduate School of Science, Tohoku University, Sendai 980-8578, Japan

(Received January 12, 2012)

Abstract:

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.

Subject Index : 120, 123
URL : http://ptp.ipap.jp/link?PTP/127/665/
DOI : 10.1143/PTP.127.665

[ Full Text PDF : FREE ACCESS (240K) ] Citation:

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