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Algebraic geometry realization of quantum Hall soliton

2005; American Institute of Physics; Volume: 46; Issue: 2 Linguagem: Inglês

10.1063/1.1834695

1527-2427

R. Abounasr, Malika Ait Ben Haddou, A. El Rhalami, El Hassan Saidi,

Algebraic structures and combinatorial models

Using the Iqbal–Netzike–Vafa dictionary giving the correspondence between the H2 homology of del Pezzo surfaces and p-branes, we develop a way to approach the system of brane bounds in M-theory on S1. We first review the structure of 10-dimensional quantum Hall soliton (QHS) from the view of M-theory on S1. Then, we show how the D0 dissolution in D2-brane is realized in M-theory language and derive the p-brane constraint equations used to define appropriately the QHS. Finally, we build an algebraic geometry realization of the QHS in type IIA superstring and show how to get its type IIB dual. Other aspects are also discussed.