Horizontal and vertical five-branes in heterotic/F-theory duality | Zendy

Björn Andreas | Zendy; Gottfried Curio | Zendy

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Horizontal and vertical five-branes in heterotic/F-theory duality

Author(s) -

Björn Andreas,

Gottfried Curio

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 - 10.1088/1126-6708/2000/01/013

Subject(s) - heterotic string theory , brane cosmology , string duality , elliptic curve , physics , duality (order theory) , mathematics , string theory , pure mathematics , theoretical physics , quantum mechanics , relationship between string theory and quantum field theory , quantum gravity , quantum

We consider the heterotic string on an elliptic Calabi-Yau three-fold withfive-branes wrapping curves in the base ('horizontal' curves) of the Calabi-Yauas well as some elliptic fibers ('vertical' curves). We show that in thisgeneralized set-up, where the association of the heterotic side with the$F$-theory side is changed relative to the purely vertical situation, thenumber of five-branes wrapping the elliptic fibers still matches thecorresponding number of $F$-theory three-branes.Comment: 21 pages harvmac, reference adde

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