Annulus Amplitudes and ZZ Branes in Minimal String Theory

Details Annulus Amplitudes and ZZ Branes in Minimal String Theory Annulus Amplitudes and ZZ Branes in Minimal String Theory

2004-06-03

arxiv.org/abs/hep-th/0406030v2

JHEP 0408:026,2004

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, new results in appendix, minor changes

Scientific paper

10.1088/1126-6708/2004/08/026

We study the annulus amplitudes of (p,q) minimal string theory. Focusing on the ZZ-FZZT annulus amplitude as a target-space probe of the ZZ brane, we use it to confirm that the ZZ branes are localized in the strong-coupling region. Along the way we learn that the ZZ-FZZT open strings are fermions, even though our theory is bosonic! We also provide a geometrical interpretation of the annulus amplitudes in terms of the Riemann surface M_{p,q} that emerges from the FZZT branes. The ZZ-FZZT annulus amplitude measures the deformation of M_{p,q} due to the presence of background ZZ branes; each kind of ZZ-brane deforms only one A-period of the surface. Finally, we use the annulus amplitudes to argue that the ZZ branes can be regarded as "wrong-branch" tachyons which violate the bound \alpha

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