Explicit formulas for the scalar modes in Seiberg-Witten theory with an application to the Argyres-Douglas point

Journal of High Energy Physics

Volumn , Issue 2, 2005, Pages 1423-1446

  Akerblom, Nikolai ^a,b   Flohr, Michael ^a,b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b UNIVERSITY OF BONN   (Germany)

Author keywords

Duality in Gauge Field Theories; Supersymmetric Effective Theories; Supersymmetry and Duality

Indexed keywords

EID: 27344454867     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2005/02/057     Document Type: Article

References (28)

1. N. Seiberg and E. Witten, Electric - magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory Nucl. Phys. B 426 (1994) 19 [hep-th/9407087], erratum ibid. B430 (1994) 486.
2. N. Seiberg and E. Witten, Gauge dynamics and compactification to three dimensions, hep-th/9607163.
3. N. Seiberg, Five dimensional SUSY field theories, non-trivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111].
4. A. Klemm, W. Lerche and S. Theisen, Nonperturbative effective actions of N = 2 supersymmetric gauge theories, Int. J. Mod. Phys. A 11 (1996) 1929 [hep-th/9505150].
5. P.C. Argyree and A.E. Faraggi, The vacuum structure and spectrum of N = 2 supersymmetric SU(N) gauge theory, Phys. Rev. Lett. 74 (1996) 3931 [hep-th/9411057].
6. c) gauge theories, Nucl. Phys. B 452 (1995) 283 [hep-th/9505075].
7. W. Lerche, Introduction to Seiberg-Witten theory and its stringy origin, Nucl. Phys. 55B (Proc. Suppl.) (1997) 83 [hep-th/9611190].
8. E. D'Hoker and D.H. Phong, Lectures on supersymmetric Yang-Mills theory and integrate systems, hep-th/9912271.
9. A. Klemm, W. Lerche, P. Mayr, C. Vafa and N.P. Warner, Self-dual strings and N = 2 supersymmetric field theory, Nucl. Phys. B 477 (1996) 746 [hep-th/9604034].
10. A. Cappelli, P. Valtancoli and L. Vergnano, Isomonodromic properties of the Seiberg-Witten solution, Nucl. Phys. B 524 (1998) 469 [hep-th/9710248].
11. M.A.I. Flohr, Logarithmic conformal field theory and Seiberg-Witten models, Phys. Lett. B 444 (1998) 179 [hep-th/9808169].
12. M. Matone, Instantons and recursion relations in N = 2 SUSY gauge theory Phys. Lett. B 357 (1996) 342 [hep-th/9506102].
13. W. Nahm, On the Seiberg-Witten approach to electric-magnetic duality, hep-th/9608121.
14. N.A. Nekraeov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161].
15. H. Exton, Multiple hypergeometric functions and applications, Ellis Horwood, Chicheeter 1976.
16. M.A.I. Flohr, Logarithmic conformal field theory - or - how to compute a torus amplitude on the sphere, hep-th/0407003.
17. P.C. Argyree and M.R. Douglas, New phenomena in SU(3) supersymmetric gauge theory, Nucl. Phys. B 448 (1996) 93 [hep-th/9505062].
18. P.C. Argyres, M.R. Plesser and A.D. Shapere, The coulomb phase of N = 2 supersymmetric QCD, Phys. Rev. Lett. 75 (1995) 1699 [hep-th/9505100].
19. A. Gorsky, A.I. Vainshtein and A. Yung, Deconfinement at the argyres-douglas point in SU(2) gauge theory with broken N = 2 supersymmetry, Nucl. Phys. B 584 (2000) 197 [hep-th/0004087].
20. A. Yung, Confinement near argyres-douglas point in N = 2 QCD and low energy version of AdS/CFT correspondence, Nucl. Phys. B 626 (2002) 207 [hep-th/0103222].
21. B.J. Taylor, On the strong-coupling spectrum of pure SU(3) Seiberg-Witten theory, J. High Energy Phys. 08 (2001) 031 [hep-th/0107016].
22. H. Ewen, K. Forger and S. Theisen, Prepotentials in N = 2 supersymmetric SU(3) YM theory with massless hypermultiplets, Nucl. Phys. B 485 (1997) 63 [hep-th/9609062].
23. B.J. Tlaylor, On the moduli space of SU(3) Seiberg-Witten theory with matter, J. High Energy Phys. 12 (2002) 040 [hep-th/0211086].
24. A.D. Shapere and C. Vafa, BPS structure of Argyres-Douglas superconformal theories, hep-th/9910182.
25. E. Zeidler et al., Teubner-Taschenbuch der mathematik, Teubner, Stuttgart 1996.
26. A. Klemm, W. Lerche and S. Theisen, Nonperturbative effective actions of N=2 supersymmetric gauge theories, Int. J. Mod. Phys. A 11 (1996) 1929 [hep-th/9505150].
27. A. Erdélyi et al., Higher transcendental functions, vol. 1, McGraw-Hill Book Compamy, New York 1963.
28. W. Becken and P. Schmelcher, Journal of Computational and Applied Mathematics 126 (2000) 449-478.