Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD release_pdbtmhiognfxvan6g5ep44pd2m

by M. Shifman, A. Yung

Released as a report .

2012  

Abstract

Systematizing our results on r duality obtained previously we focus on comparing r duality with the generalized Seiberg duality in the r vacua of N=2 and N=1 super-Yang-Mills theories with the U(N) gauge group and N_f matter flavors (N_f>N). The number of condensed (s)quarks r is assumed to be in the interval 2N_f/3 < r < N. To pass to N=1 we introduce an N=2-breaking deformation, a mass term μ for the adjoint matter, eventually decoupling the adjoint matter in the limit of large μ. If one starts from a large value of the parameter ξ∼μ m, where the original theory is at weak coupling, and decreases ξ one hits a a crossover transition from weak to strong coupling (here m is a typical value of the quark masses). Below this transition the original theory is described in terms of a weakly coupled infrared-free r dual theory with the U(N_f-r) gauge group and N_f light quark-like dyon flavors. Dyon condensation leads to confinement of monopoles, defying a naive expectation of quark confinement. The quarks and gauge bosons of the original theory are in an "instead-of-confinement" phase. The r and Seiberg dualities are demonstrated to coincide in the r=N vacua. In the (2/3) N_f <r<N vacua two dualities do not match. In this window Seiberg's dual is at strong coupling while our r-dual model is at weak coupling. Thus, we can speak of triality. Seiberg's dual solution at weak coupling reappears again at r<N_f-N< (1/3) N_f.
In text/plain format

Archived Files and Locations

application/pdf  358.8 kB
file_n345jr5gsbh7xjp57gsqzc5xxy
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  report
Stage   submitted
Date   2012-04-18
Version   v1
Language   en ?
Number  FTPI-MINN-12/13; UMN-TH-3040/12
arXiv  1204.4164v1
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: b9df43db-d217-4ea3-8d5d-3e2b4dbf6a0a
API URL: JSON