An N = 1 duality cascade from a deformation of N = 4 SUSY Yang-Mills theory

Journal of High Energy Physics

Volumn 8, Issue 12, 2004, Pages 719-756

  Hollowood, Timothy J ^a   Kumar, S Prem ^a,b  

^a SWANSEA UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Duality in Gauge Field Theories; Matrix Models; Supersymmetry and Duality; Topological Strings

Indexed keywords

EID: 22144487881     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (37)

1. N. Seiberg, Electric - magnetic duality in supersymmetric nonabelian gauge theories, Nucl. Phys. B 435 (1995) 129 [hep-th/9411149].
2. I.R. Klebanov and M.J. Strassler, Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities, J. High Energy Phys. 08 (2000) 052 [hep-th/0007191].
3. S.S. Gubser, C.P. Herzog and I.R. Klebanov, Symmetry breaking and axionic strings in the warped deformed conifold, J. High Energy Phys. 09 (2004) 036 [hep-th/0405282].
4. D. Berenstein, On the universality class of the conifold, J. High Energy Phys. 11 (2001) 060 [hep-th/0110184].
5. D. Berenstein, Quantum moduli spaces from matrix models, Phys. Lett. B 552 (2003) 255 [hep-th/0210183].
6. D. Berenstein, Solving matrix models using holomorphy, J. High Energy Phys. 06 (2003) 019 [hep-th/0303033].
7. N. Dorey, T.J. Hollowood and S.P. Kumar, S-duality of the Leigh-Strassler deformation via matrix models, J. High Energy Phys. 12 (2002) 003 [hep-th/0210239].
8. N. Dorey and S.P. Kumar, Softly-broken N = 4 supersymmetry in the large-N limit, J. High Energy Phys. 02 (2000) 006 [hep-th/0001103].
9. O. Aharony, N. Dorey and S.P. Kumar, New modular invariance in the N = 1* theory, operator mixings and supergravity singularities, J. High Energy Phys. 06 (2000) 026 [hep-th/0006008].
10. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
11. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
12. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
13. R.G. Leigh and M.J. Strassler, Exactly marginal operators and duality in four-dimensional N = 1 supersymmetric gauge theory, Nucl. Phys. B 447 (1995) 95 [hep-th/9503121].
14. M.R. Douglas, D-branes and discrete torsion, hep-th/9807235.
15. M.R. Douglas and B. Fiol, D-branes and discrete torsion, II, hep-th/9903031.
16. D. Berenstein, V. Jejjala and R.G. Leigh, Marginal and relevant deformations of N = 4 field theories and non-commutative moduli spaces of vacua, Nucl. Phys. B 589 (2000) 196 [hep-th/0005087].
17. D. Berenstein, V. Jejjala and R.G. Leigh, Noncommutative moduli spaces and t duality, Phys. Lett. B 493 (2000) 162 [hep-th/0006168].
18. J.M. Maldacena and C. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001].
19. F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3 [hep-th/0103067];
20. F. Cachazo, B. Fiol, K.A. Intriligator, S. Katz and C. Vafa, A geometric unification of dualities, Nucl. Phys. B 628 (2002) 3 [hep-th/0110028].
21. N. Dorey, T.J. Hollowood, S. Prem Kumar and A. Sinkovics, Exact superpotentials from matrix models, J. High Energy Phys. 11 (2002) 039 [hep-th/0209089].
22. N. Dorey, T.J. Hollowood, S.P. Kumar and A. Sinkovics, Massive vacua of N = 1* theory and S-duality from matrix models, J. High Energy Phys. 11 (2002) 040 [hep-th/0209099].
23. I.K. Kostov, Exact solution of the six-vertex model on a random lattice, Nucl. Phys. B 575 (2000) 513 [hep-th/9911023].
24. R. Dijkgraaf and C. Vafa, N = 1 super symmetry, deconstruction and bosonic gauge theories, hep-th/0302011.
25. I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080].
26. A. Hanany and J. Walcher, On duality walls in string theory, J. High Energy Phys. 06 (2003) 055 [hep-th/0301231];
27. S. Franco, A. Hanany, Y.-H. He and P. Kazakopoulos, Duality walls, duality trees and fractional branes, hep-th/0306092;
28. S. Franco, A. Hanany and Y.-H. He, A trio of dualities: walls, trees and cascades, Fortschr. Phys. 52 (2004) 540 [hep-th/0312222].
29. B. Fiol, Duality cascades and duality walls, J. High Energy Phys. 07 (2002) 058 [hep-th/0205155].
30. J. Polchinski and M.J. Strassler, The string dual of a confining four-dimensional gauge theory, hep-th/0003136.
31. H.M. Farkas and I. Kra, Riemann surfaces, Springer-Verlag, Berlin 1980.
32. T.J. Hollowood, Critical points of glueball superpotentials and equilibria of integrable systems, J. High Energy Phys. 10 (2003) 051 [hep-th/0305023].
33. M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, Topological strings and integrable hierarchies, hep-th/0312085.
34. E.T. Whittaker, G.N. Watson, A course of modern analysis, Cambridge University Press, Cambridge 1927.
35. N. Koblitz, Introduction to elliptic curves and modular forms, Springer-Verlag, Berlin 1993.
36. S. Chiantese, A. Klemm and I. Runkel, Higher order loop equations for A(r) and D(r) quiver matrix models, J. High Energy Phys. 03 (2004) 033 [hep-th/0311258].
37. R. Casero and E. Trincherini, Quivers via anomaly chains, J. High Energy Phys. 09 (2003) 041 [hep-th/0304123].