Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-03
J.Math.Phys. 46 (2005) 022302
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 12 figures
Scientific paper
10.1063/1.1834695
Using Iqbal-Netzike-Vafa dictionary giving the correspondence between the H$_{2}$ homology of del Pezzo surfaces and p-branes, we develop a new way to approach system of brane bounds in M-theory on $\mathbb{S}^{1}$. We first review the structure of ten dimensional quantum Hall soliton (QHS) from the view of M-theory on $\mathbb{S}^{1}$. Then, we show how the D0 dissolution in D2-brane is realized in M-theory language and derive the p-brane constraint eqs used to define appropriately QHS. Finally, we build an algebraic geometry realization of the QHS in type IIA superstring and show how to get its type IIB dual. Others aspects are also discussed. Keywords: Branes Physics, Algebraic Geometry, Homology of Curves in Del Pezzo surfaces, Quantum Hall Solitons.
Abounasr Raja
Ben Haddou Malika Ait
Rhalami Aziz El
Saidi El Hassan
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