Abstract
We investigate the disk partition function for the open string. This is a subtle problem because of the presence of a residual gauge group PSL(2, ℝ) on the worldsheet even after fixing the conformal gauge. It naively has infinite volume and leads to a vanishing answer. We use different methods that all demonstrate that PSL(2, ℝ) effectively behaves like a group with finite negative volume in the path integral, which leads to a simple prescription for the computation of the disk partition function. We apply our findings to give a simple rederivation of the D-brane tensions.
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Eberhardt, L., Pal, S. The disk partition function in string theory. J. High Energ. Phys. 2021, 26 (2021). https://doi.org/10.1007/JHEP08(2021)026
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DOI: https://doi.org/10.1007/JHEP08(2021)026