English

N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background

High Energy Physics - Theory 2015-05-19 v2

Abstract

We study the relation between the ADHM construction of instantons in the Omega-background and the fractional D3/D(-1)-branes at the orbifold singularity of C \times C^2/Z_2 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 Omega-background.

Keywords

Cite

@article{arxiv.1009.1212,
  title  = {N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background},
  author = {Katsushi Ito and Hiroaki Nakajima and Takuya Saka and Shin Sasaki},
  journal= {arXiv preprint arXiv:1009.1212},
  year   = {2015}
}

Comments

35 pages, no figures, references added