Abstract
We consider the Seiberg-Witten Toda chains arising in the context of exact solutions to N = 2 SUSY Yang-Mills and their relation to the properties of N = 1 SUSY gauge theories. In particular, we discuss their “perturbative” and “solitonic” degenerations and demonstrate some relations of the latter ones to the confining properties of N = 1 vacua.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Seiberg, N. and Witten, E. (1994) Nucl.Phys. B426, 19, hep-th/9407087; (1994) Nucl.Phys. B431, 484, hep-th/9408099.
Klemm, A., Lerche, W., Theisen, S.and Yankielowicz, S. (1995) Phys. Lett. 344B, 169; hep-th/9411048; hep-th/ 9412158; Argyres, P. and Faraggi, A. (1995) Phys. Rev. Lett. 73, 3931, hep-th/9411057.
Gorsky, A., Krichever, I., Marshakov, A., Mironov, A. and Morozov, A. (1995) Phys.Lett. B355, 466–474, hep-th/9505035.
Toda, M. (1981) Theory of Nonlinear Lattices, Springer-Verlag.
Braden, H. and Marshakov, A. (2000) hep-th/0009060.
Witten, E and Olive, D. (1978) Phys.Lett. 78B, 97.
Seiberg, N. and Witten, E. (1996) In Saclay 1996, The mathematical beauty of physics, 333–366, hepth/9607163.
Affleck, I., Harvey, J. and Witten, E. (1982) Nucl.Phys. B206, 413.
Katz, S. and Vafa, C. (1997) Nucl.Phys. B497, 196–204, hep-th/ 9611090; Aharony, O. Hanany, A., Intriligator, K., Seiberg, N. and Strassler, M. (1997) Nucl.Phys. B499, 67-99, hep-th/ 9703110; Vafa, C. (1998) Adv.Theor.Math.Phys. 2, 497-503, hep-th/ 9801139; Dorey, N. (1999) JHEP 9907, 021, hep-th/9906011; Marshakov, A.(1999) Prog.Theor.Phys.Suppl. 135, 1, hep-th/9906029.
Douglas, M. and Shenker, S. (1995) Nucl.Phys. B447, 271–296, hep-th/9503163.
Gorsky, A., Vainshtein, A. and Yung, A. (2000) hep-th/0004087.
Witten, E. (1997) Nucl.Phys. B500, 3, hep-th/9703166.
Marshakov, A., Martellini, M. and Morozov, A. (1998) Phys.Lett. B418, 294, hep-th/9706050; Marshakov, A. (1997) hep-th/9709001.
Witten, E. (1997) Nucl.Phys. B507, 658, hep-th/9706109.
Hanany, A., Strassler, M. and Zafaroni, A. (1998) Nucl.Phys. B513, 87–118, hep-th/9707244.
Krichever, I. and Vaninsky, K. (2000) hep-th/0010184.
Edelstein, J., Gomez-Reino, M. and Marino, M. (2000) hep-th/0006113.
Marshakov, A. (1998) in Continuum Advances in QCD, 1998, World Scientific; see also Marshakov, A. (1999) Seiberg-Witten Theory and Integrable Systems, World Scientific.
Edelstein, J. Marino, M. and Mas, J. (1999) Nucl.Phys. B541, 671, hep-th/9805172.
Edelstein, J, Fuertes, W., Mas, J. and Guilarte, J. (2000) hep-th/0001184.
Braden, H., Marshakov, A., Mironov, A. and Morozov, A. (2000) Nucl. Phys. B573, 553, hep-th/9906240.
Marshakov, A. (2000) Phys. Lett. B476, 420–426, hep-th/9912124.
Date, E. and Tanaka, S. (1976) Prog.Theor.Phys. 55, 457–465; (1976) Prog.Theor. Phys. Suppl. 59, 107-125; see also [4].
Krichever, I. (1976) Sov. Math. Surveys, 33, 215–216; see also Appendix by Krichever, I. to Dubrovin, B. (1981) Sov. Math. Surveys 36, N2, 12.
Gerasimov, A., Marshakov, A., Mironov, A., Morozov, A. and Orlov, A. (1991) Nucl.Phys. B357, 565.
Kharchev, S, Marshakov, A., Mironov, A., Orlov, A. and Zabrodin, A. (1991) Nucl.Phys.B366, 569–601.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Marshakov, A. (2001). Seiberg-Witten Toda Chains and N=1 SQCD. In: Aratyn, H., Sorin, A.S. (eds) Integrable Hierarchies and Modern Physical Theories. NATO Science Series, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0720-7_1
Download citation
DOI: https://doi.org/10.1007/978-94-010-0720-7_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-6963-9
Online ISBN: 978-94-010-0720-7
eBook Packages: Springer Book Archive