Report
Finite $N$ corrections to the superconformal index of orbifold quiver gauge theories
| العنوان: | Finite $N$ corrections to the superconformal index of orbifold quiver gauge theories |
|---|---|
| المؤلفون: | Arai, Reona, Fujiwara, Shota, Imamura, Yosuke, Mori, Tatsuya |
| سنة النشر: | 2019 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We investigate the AdS/CFT correspondence for quiver gauge theories realized on D3-branes put on abelian orbifolds by using the superconformal index. We assume that on the gravity side the finite $N$ corrections of the index are reproduced by D3-branes wrapped on three particular three-cycles in the internal space ${\cal Y}$, the abelian orbifold of $\boldsymbol{S}^5$. We first establish the relation between baryonic charges on the gauge theory side and the D3-brane wrapping numbers and holonomies on D3-branes. Then we confirm our proposal by comparing the results of localization for gauge theories and the results on the AdS side including the contributions of D3-branes and excitation on them for many examples. We only focus on the leading finite $N$ corrections starting from $q^N$, and leave the sub-leading corrections starting at $q^{kN}$ ($k\geq2$) as a task for the future. We find complete agreement for the leading corrections in all examples. Comment: 53 pages, 9 figures, v2:minor changes, references added |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP10(2019)243 |
| URL الوصول: | http://arxiv.org/abs/1907.05660 |
| رقم الانضمام: | edsarx.1907.05660 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP10(2019)243 |
|---|