Abstract
Applying supersymmetric localization for superstring worldsheet theory with \( \mathcal{N}=\left(1,1\right) \) supersymmetries on a cylinder and with arbitrary boundary interactions, we find the most general formula for the Ramond-Ramond (RR) coupling of D-branes. We allow all massive excitations of open superstrings, and find that only a finite number of them can contribute to the formula. The formula is written by Quillen’s superconnection which includes higher form gauge fields, and the resultant general Chern-Simons terms are consistent with RR charge quantization. Applying the formula to boundary string field theory of a BPS D9-brane or a D9-antiD9 brane system, we find that any D9-brane creation via massive mode condensation is impossible.
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Hashimoto, K., Sugishita, S. & Terashima, S. Ramond-Ramond couplings of D-branes. J. High Energ. Phys. 2015, 77 (2015). https://doi.org/10.1007/JHEP03(2015)077
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DOI: https://doi.org/10.1007/JHEP03(2015)077