Seiberg's Duality from Monodromy of Conifold Singularity

TL;DR

This paper geometrizes Seiberg's duality within the AdS/CFT framework, linking it to monodromy of D-branes on a conifold, and uncovers a braid group structure in duality sequences.

Contribution

It demonstrates that Seiberg's duality can be understood as monodromy of wrapped D5 branes, revealing a geometric origin and a braid group structure in the dualities.

Findings

Reproduces the N_c, N_f duality rule from geometry.

Identifies a braid group structure in duality transformations.

Links gauge theory duality to monodromy in string theory geometry.

Abstract

Duality between N=1 supersymmetric gauge theories(Seiberg's duality) is geometrized, in the framework of AdS/CFT correspodences. It is shown that Seiberg's duality corresponds to monodromy of wrapped D5 branes on the homology cycles of a generalized conifold where D3 branes are located. The celebrated \tilde{N}_c=N_f-N_c, \tilde{N}_f=N_f rule is reproduced and a braid group structure in a sequence of dualities, is found.