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BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field

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arxiv hep-th/0012054 v3 pith:2RF2MIEU submitted 2000-12-07 hep-th

Edward Witten This is my paper · ORCID
classification hep-th
keywords b-fieldsupersymmetricd0-d8systemboundd0-d6statescompactification
verification ladder T0 review T1 audit T2 compute T3 formal
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The D0-D6 system, which is not supersymmetric in the absence of a Neveu-Schwarz B-field, becomes supersymmetric if a suitable constant B-field is turned on. On one side of the supersymmetric locus, this system has a BPS bound state, and on the other side it does not. After compactification on T^6, this gives a simple example in which the number of 1/8 BPS states jumps as the moduli of the compactification are changed. The D0-D8 system in a B-field has two different supersymmetric loci, only one of which is continuously connected to the familiar supersymmetric D0-D8 system without a B-field. In a certain range, the D0-D8 system also has a BPS bound state. In the limit in which the B-field goes to infinity, supersymmetric D0-D6 and D0-D8 systems and their bound states can be studied using noncommutative Yang-Mills theory.

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Cited by 2 Pith papers

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

  1. Shell formulas for instantons and gauge origami

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    A new shell formula unifies and delivers explicit closed-form expressions plus recursions for instanton partition functions in 5d SYM and multiple gauge origami configurations using arbitrary-dimensional Young diagrams.

  2. Gauge Origami and BPS/CFT correspondence

    hep-th 2025-02 conditional novelty 5.0 of 10

    The gauge origami partition function on C4 is realized as a correlation function of BPS qq-character operators, with D6 and D8 characters labeled by plane and solid partitions.

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