TY - JOUR

T1 - Nahm transformation and boundary state on T2

AU - Asakawa, Tsuguhiko

AU - Carow-Watamura, Ursula

AU - Teshima, Yoshiro

AU - Watamura, Satoshi

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84883496585&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84883496585&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84883496585

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

T2 - Corfu Summer Institute "School and Workshops on Elementary Particle Physics and Gravity", CORFU 2011

Y2 - 4 September 2011 through 18 September 2011

ER -