Annulus Amplitudes and ZZ Branes in Minimal String Theory
نویسندگان
چکیده
We study the annulus amplitudes of (p, q) minimal string theory and their geometrical interpretation in terms of the Riemann surface Mp,q that emerges from the FZZT branes. 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. We also show that the deformation to Mp,q due to the presence of background ZZ branes is measured by the annulus amplitude, and we find that these deformations diagonalize the A-cycles of the surface. Finally, based on our study of the annulus amplitudes and the deformations of Mp,q, we argue that the ZZ branes can be regarded as “wrong-branch” tachyons which violate the bound α < Q/2.
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