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\( \mathcal{N} = 2 \) instanton effective action in Ω-background and D3/D(−1)-brane system in R-R background

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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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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551, Japan

    Katsushi Ito, Takuya Saka & Shin Sasaki

  2. School of Physics, Korea Institute for Advanced Study, Seoul, 130-722, Korea

    Hiroaki Nakajima

  3. Department of Physics, Kyungpook National University, Taegu, 702-701, Korea

    Hiroaki Nakajima

Authors
  1. Katsushi Ito
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  2. Hiroaki Nakajima
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  3. Takuya Saka
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  4. Shin Sasaki
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Correspondence to Shin Sasaki.

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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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