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

• Published in: arXiv.org
• Main Authors: Asakawa, Tsuguhiko, Carow-Watamura, Ursula, Teshima, Yoshiro, Watamura, Satoshi
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 17.01.2012
• Subjects: Branes; Coupling; Dimensional changes; Equivalence; Gauge theory; Mathematics - Mathematical Physics; Physicists; Physics - High Energy Physics - Theory; Physics - Mathematical Physics; String theory; Toruses; Transformations; Two dimensional analysis
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1201.0125

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.