Dibaryons from exceptional collections

We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be...

Full description

Saved in:
Bibliographic Details
Main Authors: Herzog, Christopher P. (Author) , Walcher, Johannes (Author)
Format: Article (Journal)
Language:English
Published: 10 October 2003
In: Journal of high energy physics
Year: 2003, Issue: 9, Pages: 1-37
ISSN:1029-8479
DOI:10.1088/1126-6708/2003/09/060
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1126-6708/2003/09/060
Verlag, kostenfrei, Volltext: http://stacks.iop.org/1126-6708/2003/i=09/a=060
Get full text
Author Notes:Christopher P. Herzog and Johannes Walcher
Description
Summary:We discuss aspects of the dictionary between brane configurations in del Pezzo geometries and dibaryons in the dual superconformal quiver gauge theories. The basis of fractional branes defining the quiver theory at the singularity has a K-theoretic dual exceptional collection of bundles which can be used to read off the spectrum of dibaryons in the weakly curved dual geometry. Our prescription identifies the R-charge R and all baryonic U(1) charges Q I with divisors in the del Pezzo surface without any Weyl group ambiguity. As one application of the correspondence, we identify the cubic anomaly tr RQ I Q J as an intersection product for dibaryon charges in large- N superconformal gauge theories. Examples can be given for all del Pezzo surfaces using three- and four-block exceptional collections. Markov-type equations enforce consistency among anomaly equations for three-block collections.
Item Description:Gesehen am 15.02.2018
Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1088/1126-6708/2003/09/060