Seiberg duality as derived equivalence for some quiver gauge theories

Journal of High Energy Physics

Volumn 8, Issue 2, 2004, Pages 1697-1718

  Mukhopadhyay, Subir ^a   Ray, Koushik ^b  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b DEPARTMENT OF MATERIALS SCIENCE   (India)

Author keywords

Brane Dynamics in Gauge Theories; D branes; Differential and Algebraic Geometry; Supersymmetry and Duality

Indexed keywords

EID: 23044493960     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/02/070     Document Type: Article

References (24)

1. N. Seiberg, Electric-magnetic duality in supersymmetric nonabelian gauge theories, Nucl. Phys. B 435(1995) 129 [hep-th/9411149].
2. J.H. Brodie and M. J. Strassler, Patterns of duality in N = 1 SUSY gauge theories or: seating preferences of theater-going non-abelian dualities, Nucl. Phys. B 524(1998) 224 [hep-th/9611197].
3. A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys. 71(1999) 983 [hep-th/9802067].
4. K.A. Intriligator, R.G. Leigh and M.J. Strassler, New examples of duality in chiral and nonchiral supersymmetric gauge theories, Nucl. Phys. B 456(1995) 567 [hep-th/9506148].
5. A. Hanany and E. Witten, Type-IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492(1997) 152 [hep-th/9611230].
6. D.-E. Diaconescu, D-branes, monopoles and Nahm equations, Nucl. Phys. B 503(1997) 220 [hep-th/9608163].
7. S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Brane dynamics and N = 1 supersymmetric gauge theory, Nucl. Phys. B 505(1997) 202 [hep-th/9704104].
8. M.R. Douglas and G.W. Moore, D-branes, quivers and ALE instantons, hep-th/9603167;
9. For an earlier work on array of gauge theories see: M.B. Halpern and W. Siegel, Electromagnetism as a strong interaction, Phys. Rev. D 11(1975) 2969.
10. B. Feng, A. Hanany and Y.-H. He, D-brane gauge theories from toric singularities and toric duality, Nucl. Phys. B 595(2001) 165 [hep-th/0003085].
11. C.E. Beasley and M.R. Plesser, Toric duality is Seiberg duality, J. High Energy Phys. 12(2001) 001 [hep-th/0109053].
12. B. Feng, A. 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].
13. B. Feng, A. 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].
14. B. Feng, S. Franco, A. Hanany and Y.-H. He, Unhiggsing the del Pezzo, J. High Energy Phys. 08(2003) 058 [hep-th/0209228].
15. S. Franco and A. Hanany, Toric duality, Seiberg duality and Picard-Lefschetz transformations, Fortschr. Phys. 51(2003) 738 [hep-th/0212299].
16. 4/Γ, Nucl. Phys. B 595(2001) 201 [hep-th/0005166].
17. D.R. Morrison and M.R. Plesser, Non-spherical horizons, I, Adv. Theor. Math. Phys. 3(1999) 1 [hep-th/9810201].
18. D. Berenstein and M.R. Douglas, Seiberg duality for quiver gauge theories, hep-th/0207027.
19. J Rickard, Marita theory for derived categories, J. Lond. Math. Soc.(2) 39(3) (1989) 436.
20. V. Braun, On Berenstein-Douglas-Seiberg duality, J. High Energy Phys. 01(2003) 082 [hep-th/0211173].
21. S. Franco, A. Hanany, Y.-H. He and P. Kazakopoulos, Duality walls, duality trees and fractional branes, hep-th/0306092.
22. B. Fiol, Duality cascades and duality walls, J. High Energy Phys. 07(2002) 058 [hep-th/0205155].
23. A. Hanany and J. Walcher, On duality walls in string theory, J. High Energy Phys. 06(2003) 055 [hep-th/0301231].
24. M.R. Douglas, D-branes, categories and N = 1 super symmetry, J. Math. Phys. 42(2001) 2818 [hep-th/0011017].