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The disk partition function in string theory

Eberhardt, Lorenz·Pal, Sridip
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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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSBosonic StringsConformal Field TheoryD-branesGauge Symmetry

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Eberhardt, Lorenz, Pal, Sridip. 2021-08-06. The disk partition function in string theory. https://doi.org/10.1007/jhep08(2021)026

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