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Multi-flux warped throats and cascading gauge theories (2005)
Journal Article
Franco, S., Hanany, A., & Uranga, A. (2005). Multi-flux warped throats and cascading gauge theories. Journal of High Energy Physics, 2005(09), Article 028. https://doi.org/10.1088/1126-6708/2005/09/028

We describe duality cascades and their infrared behavior for systems of D3-branes at singularities given by complex cones over del Pezzo surfaces (and related examples), in the presence of fractional branes. From the gauge field theory viewpoint, we... Read More about Multi-flux warped throats and cascading gauge theories.

An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals (2005)
Journal Article
Benvenuti, S., Franco, S., Hanany, A., Martelli, D., & Sparks, J. (2005). An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals. Journal of High Energy Physics, 2005(06), Article 064. https://doi.org/10.1088/1126-6708/2005/06/064

We describe an infinite family of quiver gauge theories that are AdS/CFT dual to a corresponding class of explicit horizon Sasaki-Einstein manifolds. The quivers may be obtained from a family of orbifold theories by a simple iterative procedure. A ke... Read More about An Infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals.

On the fate of tachyonic quivers (2005)
Journal Article
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

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... Read More about On the fate of tachyonic quivers.

Chaotic duality in string theory (2004)
Journal Article
Franco, S., He, Y., Herzog, C., & Walcher, J. (2004). Chaotic duality in string theory. Physical Review D, 70(4), Article 046006. https://doi.org/10.1103/physrevd.70.046006

We investigate the general features of renormalization group flows near superconformal fixed points of four dimensional N=1 gauge theories with gravity duals. The gauge theories we study arise as the world-volume theory on a set of D-branes at a Cala... Read More about Chaotic duality in string theory.

Hidden exceptional global symmetries in 4-D CFTs (2004)
Journal Article
Franco, S., Hanany, A., & Kazakopoulos, P. (2004). Hidden exceptional global symmetries in 4-D CFTs. Journal of High Energy Physics, 2004(07), Article 060. https://doi.org/10.1088/1126-6708/2004/07/060

We study four dimensional = 1 gauge theories that arise on the worldvolume of D3-branes probing complex cones over del Pezzo surfaces. Global symmetries of the gauge theories are made explicit by using a correspondence between bifundamental fields in... Read More about Hidden exceptional global symmetries in 4-D CFTs.

A Trio of dualities: Walls, trees and cascades (2004)
Journal Article
Franco, S., Hanany, A., & He, Y. (2004). A Trio of dualities: Walls, trees and cascades. Fortschritte der Physik, 52(6-7), 540-547. https://doi.org/10.1002/prop.200310142

We study the RG flow of = 1 world-volume gauge theories of D3-brane probes on certain singular Calabi-Yau threefolds. Taking the gauge theories out of conformality by introducing fractional branes, we compute the NSVZ beta-function and follow the sub... Read More about A Trio of dualities: Walls, trees and cascades.

Unhiggsing the del Pezzo (2003)
Journal Article
Feng, B., Franco, S., Hanany, A., & He, Y. (2003). Unhiggsing the del Pezzo. Journal of High Energy Physics, 2003(08), Article 058. https://doi.org/10.1088/1126-6708/2003/08/058

We develop an unhiggsing procedure for finding the D-brane probe world volume gauge theory for blowups of geometries whose gauge theory data are known. As specific applications we unhiggs the well-studied theories for the cone over the third del Pezz... Read More about Unhiggsing the del Pezzo.

Toric duality, Seiberg duality and Picard-Lefschetz transformations (2003)
Journal Article
Franco, S., & Hanany, A. (2003). Toric duality, Seiberg duality and Picard-Lefschetz transformations. Fortschritte der Physik, 51(7-8), 738-744. https://doi.org/10.1002/prop.200310091

Toric Duality arises as an ambiguity in computing the quiver gauge theory living on a D3-brane which probes a toric singularity. It is reviewed how, in simple cases Toric Duality is Seiberg Duality. The set of all Seiberg Dualities on a single node i... Read More about Toric duality, Seiberg duality and Picard-Lefschetz transformations.

Geometric dualities in 4-D field theories and their 5-D interpretation (2003)
Journal Article
Franco, S., & Hanany, A. (2003). Geometric dualities in 4-D field theories and their 5-D interpretation. Journal of High Energy Physics, 2003(04), Article 043. https://doi.org/10.1088/1126-6708/2003/04/043

We study four-dimensional = 1 gauge theories arising on D3-branes probing toric singularities. Toric dualities and flows between theories corresponding to different singularities are analyzed by encoding the geometric information into (p,q) webs. A n... Read More about Geometric dualities in 4-D field theories and their 5-D interpretation.

Symmetries of toric duality (2002)
Journal Article
Feng, B., Franco, S., Hanany, A., & He, Y. (2002). Symmetries of toric duality. Journal of High Energy Physics, 2002(12), Article 076. https://doi.org/10.1088/1126-6708/2002/12/076

This paper serves to elucidate the nature of toric duality dubbed in hep-th/0003085 in the construction for world volume theories of D-branes probing arbitrary toric singularities. This duality will be seen to be due to certain permutation symmetries... Read More about Symmetries of toric duality.