| Автор | Agostino Butti |
| Автор | Davide Forcella |
| Автор | Amihay Hanany |
| Автор | David Vegh |
| Автор | Alberto Zaffaroni |
| Дата выпуска | 2007-11-01 |
| dc.description | We discuss in detail the problem of counting BPS gauge invariant operators in the chiral ring of quiver gauge theories living on D-branes probing generic toric CY singularities. The computation of generating functions that include counting of baryonic operators is based on a relation between the baryonic charges in field theory and the Kähler moduli of the CY singularities. A study of the interplay between gauge theory and geometry shows that given geometrical sectors appear more than once in the field theory, leading to a notion of ``multiplicities". We explain in detail how to decompose the generating function for one D-brane into different sectors and how to compute their relevant multiplicities by introducing geometric and anomalous baryonic charges. The Plethystic Exponential remains a major tool for passing from one D-brane to arbitrary number N of D-branes. Explicit formulae are given for few examples, including <sup>3</sup>/<sub>3</sub>, <sub>0</sub>, and dP<sub>1</sub>. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Counting chiral operators in quiver gauge theories |
| Тип | paper |
| DOI | 10.1088/1126-6708/2007/11/092 |
| Electronic ISSN | 1029- 8479 |
| Print ISSN | 1126-6708 |
| Журнал | Journal of High Energy Physics |
| Том | 2007 |
| Первая страница | 92 |
| Последняя страница | 092 |
| Выпуск | 11 |
