### Abstract

Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not.

Original language | English (US) |
---|---|

Article number | 050 |

Journal | Journal of High Energy Physics |

Volume | 2006 |

Issue number | 10 |

DOIs | |

State | Published - Oct 1 2006 |

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### Keywords

- D-branes
- Differential and Algebraic Geometry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2006*(10), [050]. https://doi.org/10.1088/1126-6708/2006/10/050

**Can D-branes wrap nonrepresentable cycles?** / Evslin, Jarah; Sati, Hisham.

Research output: Contribution to journal › Review article

*Journal of High Energy Physics*, vol. 2006, no. 10, 050. https://doi.org/10.1088/1126-6708/2006/10/050

}

TY - JOUR

T1 - Can D-branes wrap nonrepresentable cycles?

AU - Evslin, Jarah

AU - Sati, Hisham

PY - 2006/10/1

Y1 - 2006/10/1

N2 - Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not.

AB - Sometimes a homology cycle of a nonsingular compactification manifold cannot be represented by a nonsingular submanifold. We want to know whether such nonrepresentable cycles can be wrapped by D-branes. A brane wrapping a representable cycle carries a K-theory charge if and only if its Freed-Witten anomaly vanishes. However some K-theory charges are only carried by branes that wrap nonrepresentable cycles. We provide two examples of Freed-Witten anomaly-free D6-branes wrapping nonrepresentable cycles in the presence of a trivial NS 3-form flux. The first occurs in type IIA string theory compactified on the Sp(2) group manifold and the second in IIA on a product of lens spaces. We find that the first D6-brane carries a K-theory charge while the second does not.

KW - D-branes

KW - Differential and Algebraic Geometry

UR - http://www.scopus.com/inward/record.url?scp=33846138059&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846138059&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2006/10/050

DO - 10.1088/1126-6708/2006/10/050

M3 - Review article

AN - SCOPUS:33846138059

VL - 2006

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 10

M1 - 050

ER -