### 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.

Original language | English |
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Pages (from-to) | 665-687 |

Number of pages | 23 |

Journal | Progress of Theoretical Physics |

Volume | 127 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2012 Apr 1 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## Cite this

*Progress of Theoretical Physics*,

*127*(4), 665-687. https://doi.org/10.1143/PTP.127.665