New results from glueball superpotentials and matrix models: The Leigh-Strassler deformation

Journal of High Energy Physics

Volumn 7, Issue 4, 2003, Pages 527-540

  Hollowood, Timothy J ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Integrable Field Theories; Matrix Models; Supersymmetric Effective Theories; Supersymmetry and Duality

Indexed keywords

EID: 22144459957     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/04/025     Document Type: Article

References (28)

1. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
2. R. Dijkgraaf and C. Vafa, On geometry and matrix models, Nucl. Phys. B 644 (2002) 21 [hep-th/0207106].
3. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories, Nucl. Phys. B 644 (2002) 3 [hep-th/0206255].
4. 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].
5. 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].
6. 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].
7. 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].
8. I.K. Kostov, Exact solution of the six-vertex model on a random lattice, Nucl. Phys. B 575 (2000) 513 [hep-th/9911023].
9. N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 07 (1999) 021 [hep-th/9906011].
10. N. Dorey, T.J. Hollowood and S. Prem Kumar, An exact elliptic superpotential for N = 1* deformations of finite N = 2 gauge theories, Nucl. Phys. B 624 (2002) 95 [hep-th/0108221];
11. T.J. Hollowood and S.P. Kumar, World sheet instantons via the Myers effect and N = 1* quiver superpotentials, J. High Energy Phys. 10 (2002) 077 [hep-th/0206051].
12. R. Donagi and E. Witten, Supersymmetric Yang-Mills theory and integrable systems, Nucl. Phys. B 460 (1996) 299 [hep-th/9510101].
13. E.T. Whittaker and G.N. Watson, A course of modern analysis, 4th ed., Cambridge University Press, Cambridge 1927.
14. E.J. Martinec and N.P. Warner, Integrable systems and supersymmetric gauge theory, Nucl. Phys. B 459 (1996) 97 [hep-th/9509161].
15. E.J. Martinec, Integrable structures in supersymmetric gauge and string theory, Phys. Lett. B 367 (1996) 91 [hep-th/9510204].
16. E.J. Martinec and N.P. Warner, Integrability in N = 2 gauge theory: a proof, hep-th/9511052.
17. E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166].
18. A. Kapustin, Solution of N = 2 gauge theories via compactification to three dimensions, Nucl. Phys. B 534 (1998) 531 [hep-th/9804069].
19. N. Hitchin, Stable bundles and integrable systems, Duke Math. J. 54 (1987) 91.
20. F. Calogero, Exactly solvable one-dimensional many body problems, Lett. Nuovo Cim. 13 (1975) 411.
21. J. Moser, Three integrable hamiltonian systems connected with isospectral deformations, Adv. Math. 16 (1975) 441.
22. 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].
23. S.N.M. Ruijsenaars, Action angle maps and scattering theory for some finite dimensional integrable systems, 1. The pure soliton case, Commun. Math. Phys. 115 (1988) 127.
24. S.N.M. Ruijsenaars and H. Schneider, A new class of integrable systems and its relation to solitons, Ann. Phys. (NY) 170 (1986) 370.
25. S.N.M. Ruijsenaars, Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, Commun. Math. Phys. 110 (1987) 191.
26. G.E. Arutyunov, S.A. Frolov and P.B. Medvedev, Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the affine Heisenberg double, J. Phys. A 30 (1997) 5051 [hep-th/9607170].
27. G.E. Arutyunov, S.A. Frolov and P.B. Medvedev, Elliptic Ruijsenaars-Schneider model from the cotangent bundle over the two-dimensional current group, J. Math. Phys. 38 (1997) 5682 [hep-th/9608013].
28. N. Nekrasov, Five dimensional gauge theories and relativistic integrable systems, Nucl. Phys. B 531 (1998) 323 [hep-th/9609219].