### Abstract

The T-duality for a bound state of a D2-D0 brane system and its equivalence with the Nahm transformation of the corresponding gauge theory on a 2-dimensional torus were investigated, using the boundary state analysis in superstring. Contrary to the case of a 4-dimensional torus, a nontrivial change in sign in a topological charge is obtained (which seems puzzling when regarded as a D-brane charge). It is shown that both approaches agree when a minus sign is included. The boundary state in the RR-sector is reformulated using a new representation of zeromodes, we show that the RR-coupling is invariant under T-duality. Finally, we show the T-duality invariance at the level of the Chern-Simon coupling by deriving the Buscher rule for the RR potentials (also known as the 'Hori formula'), including the correct sign.

Original language | English |
---|---|

Journal | Proceedings of Science |

Publication status | Published - 2011 Dec 1 |

Event | Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2011 - Corfu, Greece Duration: 2011 Sep 4 → 2011 Sep 18 |

### ASJC Scopus subject areas

- General

## Fingerprint Dive into the research topics of 'Nahm transformation and boundary state on T<sup>2</sup>'. Together they form a unique fingerprint.

## Cite this

^{2}.

*Proceedings of Science*.