Annulus amplitudes and ZZ branes in minimal string theory

Annulus amplitudes and ZZ branes in minimal string theory
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最小弦理论中的环面振幅和 ZZ 膜

DOI:
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发表时间:
2004
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通讯作者:
D. Shih
D. Shih
中科院分区:
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文献类型:
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作者:
D. Kutasov;Kazumi Okuyama;Jongwon Park;N. Seiberg;D. Shih

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我们研究了(p,q)极小弦理论的环振幅。以ZZ-FZZT环的振幅作为ZZ膜的靶空间探针,证实ZZ膜位于强耦合区域。在此过程中,我们了解到ZZ-FZZT开弦是费米子,尽管我们的理论是玻色子!我们还给出了由FZZT薄膜出射的Riemann表面p,q表示的环振幅的几何解释。ZZ-FZZT环的振幅测量了由于背景ZZ膜的存在而引起的p,q的变形;每种ZZ膜只变形了表面的一个A周期。最后,我们利用环的振幅论证了ZZ膜可以被看作是违反束缚α的错误分支快子
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 p,q that emerges from the FZZT branes. The ZZ-FZZT annulus amplitude measures the deformation of 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 α