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On the fate of tachyonic quivers

Franco, Sebastian; Hanany, Amihay

Authors

Sebastian Franco

Amihay Hanany



Abstract

We study gauge theories on the world-volume of D3-branes probing singularities. Seiberg duality can be realized as a sequence of Picard-Lefschetz monodromies on 3-cycles in the mirror manifold. In previous work, the precise meaning of gauge theories obtained by monodromies that do not correspond to Seiberg duality was unclear. Recently, it was pointed out that these theories contain tachyons, suggesting that the collection of branes at the singularity is unstable. We address this problem using (p,q) web techniques. It is shown that theories with tachyons appear whenever the (p,q) web contains crossing legs. A recent study of these theories with tachyons using exceptional collections proposed the notion of ``well split condition.'' We show the equivalence between the well split condition and the absence of crossing legs in the (p,q) web. The (p,q) web has a natural resolution of crossing legs wich was first studied in the construction of five dimensional fixed points using branes. Exploiting this result, we develop a generic procedure which we propose determines the quiver that corresponds to the stable bound state of D-branes that live on the singularity after the monodromy. This set is generically larger than the original set, meaning that there are extra massless gauge fields and matter fields in the quiver. Alternatively, one can argue that since these gauge and matter fields are initially assumed to be absent, the theory exhibits tachyonic excitations. We illustrate our ideas in an explicit example for D3-branes on a complex cone over dP1, computing both the quiver and the superpotential.

Citation

Franco, S., & Hanany, A. (2005). On the fate of tachyonic quivers. Journal of High Energy Physics, 2005(03), Article 031. https://doi.org/10.1088/1126-6708/2005/03/031

Journal Article Type Article
Publication Date Mar 1, 2005
Deposit Date Jan 27, 2014
Publicly Available Date Feb 14, 2014
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2005
Issue 03
Article Number 031
DOI https://doi.org/10.1088/1126-6708/2005/03/031
Keywords Duality in Gauge Field Theories, Brane Dynamics in Gauge Theories, D-branes.

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