D-Branes , T-Duality , and Index Theory

  title={D-Branes , T-Duality , and Index Theory},
  author={Kentaro Hori},
We show that the transformation of D-branes under T-duality on fourtorus is represented by Nahm transform of instantons. The argument for this allows us to generalize Nahm transform to the case of orthogonal and symplectic gauge groups as well as to instantons on Z2 orbifold of four-torus. In addition, we identify the isomorphism of K-theory groups that realizes the transformation of D-brane charges under T-duality on torus of arbitrary dimensions. By the isomorphism we are lead to identify the… CONTINUE READING
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