Fundamental Strings and D-strings in the IIB Matrix Model

Details Fundamental Strings and D-strings in the IIB Matrix Model Fundamental Strings and D-strings in the IIB Matrix Model

1997-03-19

arxiv.org/abs/hep-th/9703133v2

Mod.Phys.Lett. A12 (1997) 1301-1315

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex file. Two references added and two figures included

Scientific paper

10.1142/S021773239700131X

The matrix model for IIB Superstring proposed by Ishibashi, Kawai, Kitazawa and Tsuchiya is investigated. Consideration of planar and non-planar diagrams suggests that the large N perturbative expansion is consistent with the double scaling limit proposed by the above authors. We write down a Wilson loop that can be interpreted as a fundamental string vertex operator. The one point tadpole in the presence of a D-string has the right form and this can be viewed as a matrix model derivation of the boundary conditions that define a D-string. We also argue that if world sheet coordinates $\sigma$ and $\tau$ are introduced for the fundamental string, then the conjugate variable ${d}/{d\sigma}$ and ${d}/{d\tau}$ can be interpreted as the D-string world sheet coordinates. In this way the $SL(2Z)$ duality group of the IIB superstring becomes identified with the symplectic group acting on ($p,q$).

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