Mordell-Weil lattice via string junctions
Sep, 199935 pages
Published in:
- Nucl.Phys.B 572 (2000) 71-94
e-Print:
- hep-th/9909122 [hep-th]
Report number:
- UTHEP-408
View in:
Citations per year
Abstract:
We analyze the structure of singularities, Mordell-Weil lattices and torsions of a rational elliptic surface using string junctions in the background of 12 7-branes. The classification of the Mordell-Weil lattices due to Oguiso-Shioda is reproduced in terms of the junction lattice. In this analysis an important role played by the global structure of the surface is observed. It is then found that the torsions in the Mordell-Weil group are generated by the fraction of loop junctions which represent the imaginary roots of the loop algebra . From the structure of the Mordell-Weil lattice we find 7-brane configurations which support non-BPS junctions carrying conserved Abelian charges.- 02.10.Rn
- 11.25.-w
- IIB 7-branes
- String junctions
- Rational elliptic surface
- Mordell–Weil lattice
- membrane model: p-brane
- p-brane: 7
- algebra: Lie
- algebra: affine
References(29)
Figures(0)