Abstract
We study the relation between the ADHM construction of instantons in the Ω-background and the fractional D3/D(−1)-branes at the orbifold singularity of \( \mathbb{C} \times {{{{\mathbb{C}^2}}} \left/ {{{\mathbb{Z}_2}}} \right.} \) in Ramond-Ramond (R-R) 3-form field strength background. We calculate disk amplitudes of open strings connecting the D3/D(−1)-branes in certain R-R background to obtain the D(−1)-brane effective action deformed by the R-R background. We show that the deformed D(−1)-brane effective action agrees with the instanton effective action in the Ω-background.
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ArXiv ePrint:1009.1212
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Ito, K., Nakajima, H., Saka, T. et al. \( \mathcal{N} = 2 \) instanton effective action in Ω-background and D3/D(−1)-brane system in R-R background. J. High Energ. Phys. 2010, 93 (2010). https://doi.org/10.1007/JHEP11(2010)093
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DOI: https://doi.org/10.1007/JHEP11(2010)093