Factorization of Seiberg-Witten curves and compactification to three dimensions

Journal of High Energy Physics

Volumn 8, Issue 3, 2004, Pages 223-236

  Boels, Rutger ^a   De Boer, Jan ^a   Duivenvoorden, Robert ^a   Wijnhout, Jeroen ^a  

^a Inatituut voor Theoretische Fysica   (Netherlands)

Author keywords

Field Theories in Lower Dimensions; Integrable Equations in Physics; Nonperturbative Effects; Supersymmetric Effective Theories

Indexed keywords

EID: 23044445336     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/03/010     Document Type: Review

References (17)

1. R. Boels, J. de Boer, R. Duivenvoorden and J. Wijnhout, Nonperturbative superpotentials and compactification to three dimensions, hep-th/0304061.
2. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics, hep-th/0208048.
3. R. Dijkgraaf and C. Vafa, N = 1 super symmetry, deconstruction and bosonic gauge theories, hep-th/0302011.
4. N. Seiberg and E. Witten, Gauge dynamics and compactification to three dimensions, hep-th/9607163.
5. A. Gorsky, I. Krichever, A. Marshakov, A. Mironov and A. Morozov, Integrability and Seiberg-Witten exact solution, Phys. Lett. B 355 (1995) 466 [hep-th/9505035].
6. E.J. Martinec and N.P. Warner, Integrable systems and supersymmetric gauge theory, Nucl. Phys. B 459 (1996) 97 [hep-th/9509161].
7. T. Nakatsu and K. Takasaki, Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory, Mod. Phys. Lett. A 11 (1996) 157 [hep-th/9509162].
8. N. Dorey, An elliptic superpotential for softly broken N = 4 supersymmetric Yang-Mills theory, J. High Energy Phys. 07 (1999) 021 [hep-th/9906011].
9. 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].
10. 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].
11. J. de Boer and Y. Oz, Monopole condensation and confining phase of N = 1 gauge theories via M-theory fivebrane, Nucl. Phys. B 511 (1998) 155 [hep-th/9708044].
12. T.J. Hollowood, Critical points of glueball superpotentials and equilibria of integrable systems, J. High Energy Phys. 10 (2003) 051 [hep-th/0305023].
13. P.D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Commun. Pure Appl. Math. 21 (1968) 467.
14. M. Kac and P. van Moerbeke, A complete solution of the periodic Toda problem, Proc. Nat. Acad. Sci. U.S.A. 72 (1975), no. 8 2879.
15. E. Date and S. Tanaka, Analogue of inverse scattering theory for the discrete Hill's equation and exact solutions for the periodic Toda lattice, Prog. Theor. Phys. 55 (1976) 457.
16. P. van Moerbeke and D. Mumford, The spectrum of difference operators and algebraic curves, Acta Math. 143 (1979), no. 1-2 93.
17. M. Aganagic, K. Intriligator, C. Vafa and N.P. Warner, The glueball superpotential, hep-th/0304271.