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D-branes, T-duality, and Index Theory

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arxiv hep-th/9902102 v2 pith:7I4POZRY submitted 1999-02-16 hep-th

Kentaro Hori This is my paper · ORCID
classification hep-th
keywords t-dualitychargesd-braned-branesfour-torusgroupsidentifyinstantons
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We show that the transformation of D-branes under T-duality on four-torus 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 Z_2 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 correct K-theory group that classifies D-brane charges in Type II orientifold.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Nahm transform of multi-fractional instantons

    hep-th 2024-11 conditional novelty 7.0 of 10

    A fractional SU(N) instanton of charge r/N, embedded with U(1) fluxes, has a Nahm dual that is an SU(Nhat) fractional instanton of charge r/Nhat, with Nhat = N q1 q3 - r q3 + q1.

  2. D-branes and fractional instantons on a twisted four torus: the moduli space as an N=2 supersymmetric Higgs branch

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    The local moduli space of self-dual fractional instantons (Q = r/N) on a twisted four-torus is the Higgs branch of an N=2 supersymmetric theory, obtained via wrapped intersecting D-brane configurations.

  3. Super-$\mathrm{Lie}_\infty$ T-Duality and M-Theory

    hep-th 2024-11 conditional novelty 6.0 of 10

    The M-algebra is shown to be the brane-charge completion of the fully T-doubled super-spacetime, with the Poincaré super 2-form of T-duality lifted to a Poincaré super 3-form.

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