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

DOI10.1143/PTP.127.665zbMATH Open1253.81101arXiv1201.0125OpenAlexW3099151073MaRDI QIDQ2907600

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

Publication date: 11 September 2012

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1201.0125

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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