Anomalous D-brane charge in F-theory compactifications | Zendy

Björn Andreas | Zendy; Gottfried Curio | Zendy; Ruben Minasian | Zendy

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Anomalous D-brane charge in F-theory compactifications

Author(s) -

Björn Andreas,

Gottfried Curio,

Ruben Minasian

Publication year - 2000

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2000/09/022

Subject(s) - instanton , moduli space , brane , m theory , charge (physics) , torsion (gastropod) , sheaf , physics , embedding , mathematical physics , gauge theory , chern class , theoretical physics , mathematics , pure mathematics , supergravity , quantum mechanics , supersymmetry , computer science , medicine , surgery , artificial intelligence

Tadpole cancellation in F-theory on an elliptic Calabi-Yau fourfold $X\toB_3$ demands some spacetime-filling three-branes (points in $B_3$). If moved tothe discriminant surface, which supports the gauge group, and dissolved into afinite size instanton, the second Chern class of the corresponding bundle $E$is expected to give a compensating contribution. However the dependence ofD-brane charge on the geometry of $W$ and on the embedding $i: W\to B_3$ givesa correction to $c_2(E)$. We show how this is reconciled by considering thetorsion sheaf $i_*E$ and discuss some integrality issues related to globalproperties of $X$ as well as the moduli space of this object.Comment: 11 pages, harvmac, reference adde

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