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 Kahler 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 C-3/Z(3), F-0, and dP(1).
Butti, A., Forcella, D., Hanany, A., Vegh, D., & Zaffaroni, A. (2007). Counting chiral operators in quiver gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2007(11), 092.
|Citazione:||Butti, A., Forcella, D., Hanany, A., Vegh, D., & Zaffaroni, A. (2007). Counting chiral operators in quiver gauge theories. JOURNAL OF HIGH ENERGY PHYSICS, 2007(11), 092.|
|Tipo:||Articolo in rivista - Articolo scientifico|
|Carattere della pubblicazione:||Scientifica|
|Titolo:||Counting chiral operators in quiver gauge theories|
|Autori:||Butti, A; Forcella, D; Hanany, A; Vegh, D; Zaffaroni, A|
|Data di pubblicazione:||nov-2007|
|Rivista:||JOURNAL OF HIGH ENERGY PHYSICS|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/1126-6708/2007/11/092|
|Appare nelle tipologie:||01 - Articolo su rivista|