Types of quantum field thories
FQFT and cohomology
with solitons in a theory of quark flavors and gauge group , where
Seiberg duality follows from phenomena in string theory, where gauge theories arise as the worldvolume theories of D-branes (geometric engineering of quantum field theory). Seiberg duality is obtained for gauge theories of D-branes that stretch between two NS5-branes. The duality operation corresponds to exchanging the two NS5-branes.
S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Brane dynamics and supersymmetric gauge theory, Nucl. Phys. B 505 (1997) 202 (hep-th/9704104)
See also string theory results applied elsewhere.
Subir Mukhopadhyay, Koushik Ray, Seiberg duality as derived equivalence for some quiver gauge theories (arXiv:hep-th/0309191)
Toric Duality is Seiberg duality for theories with toric moduli spaces.
Bo Feng, Amihay Hanany and Y.-H. He, D-brane gauge theories from toric singularities and toric duality, Nucl. Phys. B 595 (2001) 165 [hep-th/0003085].
C.E. Beasley and M.R. Plesser, Toric duality is Seiberg duality, J. High Energy Phys. 12 (2001) 001 [hep-th/0109053]. JHEP02(2004)070
Bo Feng, Amihay Hanany and Y.-H. He, Phase structure of D-brane gauge theories and toric duality , J. High Energy Phys. 08 (2001) 040 [hep-th/0104259].
Bo Feng, Amihay Hanany, Y.-H. He and A.M. Uranga, Toric duality as Seiberg duality and brane diamonds, J. High Energy Phys. 12 (2001) 035 [hep-th/0109063].
Bo Feng, S. Franco, Amihay Hanany and Y.-H. He, Unhiggsing the del Pezzo, J. High Energy Phys. 08 (2003) 058 [hep-th/0209228].
S. Franco and Amihay Hanany, Toric duality, Seiberg duality and Picard-Lefschetz transformations , Fortschr. Phys. 51 (2003) 738 [hep-th/0212299].
Christopher P. Herzog, Seiberg Duality is an Exceptional Mutation (arXiv:hep-th/0405118)
Subir Mukhopadhyay, Koushik Ray, Seiberg duality as derived equivalence for some quiver gauge theories Journal of High Energy Physics Volume 2004 JHEP02(2004)
A review is in
Discussion in connection with non-conformal variants of AdS/CFT is in
(Adi Armoni, Amit Giveon, Dan Israel, Vasilis Niarchos, 2009
a non-supersymmetric theory in $4d§
(Adi Armoni, Dan Israel, Gregory Moraitis, Vasilis Niarchos, 2008).
The original article is
The “cascade” of Seiberg dualities is due to
Surveys and reviews include
M. Chaichian, W.F. Chen, C. Montonen, New Superconformal Field Theories in Four Dimensions and N=1 Duality (arXiv:hep-th/0007240)
Flip Tanedo, Notes on Seibergology (pdf)
See also section 22 of