Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 82, Issue 6, 2010, Pages

  Plyushchay, Mikhail S ^a,b   Nieto, Luis Miguel ^b  

^a UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

^b UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78651085365     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.82.065022     Document Type: Article

References (62)

1. E. Witten, Nucl. Phys. NUPBBO 0550-3213 B188, 513 (1981); 10.1016/0550-3213(81)90006-7
2. E. Witten Nucl. Phys. NUPBBO 0550-3213 B202, 253 (1982). 10.1016/0550-3213(82)90071-2
3. G. Junker, Supersymmetric Methods in Quantum and Statistical Physics (Springer, Berlin, 1996);
4. F. Cooper, A. Khare, and U. Sukhatme, Supersymmetry in Quantum Mechanics, Singapore (World Scientific, Singapore, 2001).
5. L.E. Gendenshtein, Pis'ma Zh. Eksp. Teor. Fiz. 39, 234 (1984) PZETAB 0370-274X
6. [L.E. Gendenshtein JETP Lett. 39, 280 (1984)]; JTPLA2 0021-3640
7. L.E. Gendenshtein and I.V. Krive, Usp. Fiz. Nauk 146, 553 (1985) UFNAAG 0042-1294
8. [L.E. Gendenshtein I.V. Krive Sov. Phys. Usp. 28, 645 (1985)]. SOPUAP 0038-5670 10.1070/PU1985v028n08ABEH003882
9. M.S. Plyushchay, Ann. Phys. (N.Y.) APNYA6 0003-4916 245, 339 (1996); 10.1006/aphy.1996.0012
10. J. Gamboa, M. Plyushchay, and J. Zanelli, Nucl. Phys. NUPBBO 0550-3213 B543, 447 (1999). 10.1016/S0550-3213(98)00832-3
11. M. Plyushchay, Int. J. Mod. Phys. A 15, 3679 (2000). IMPAEF 0217-751X 10.1142/S0217751X00001981
12. F. Correa and M.S. Plyushchay, Ann. Phys. (N.Y.) APNYA6 0003-4916 322, 2493 (2007). 10.1016/j.aop.2006.12.002
13. V. Jakubsky, L.M. Nieto, and M.S. Plyushchay, Phys. Lett. B 692, 51 (2010). PYLBAJ 0370-2693 10.1016/j.physletb.2010.07.014
14. V.B. Matveev and M.A. Salle, Darboux Transformations and Solitons (Springer, Berlin, 1991).
15. H.W. Braden and A.J. Macfarlane, J. Phys. A JPHAC5 0305-4470 18, 3151 (1985). 10.1088/0305-4470/18/16/017
16. G.V. Dunne and J. Feinberg, Phys. Rev. D PRVDAQ 0556-2821 57, 1271 (1998). 10.1103/PhysRevD.57.1271
17. D.J. Fernandez, B. Mielnik, O. Rosas-Ortiz, and B.F. Samsonov, Phys. Lett. A 294, 168 (2002). PYLAAG 0375-9601 10.1016/S0375-9601(01)00839-8
18. D.J. Fernandez and A. Ganguly, Ann. Phys. (N.Y.) APNYA6 0003-4916 322, 1143 (2007). 10.1016/j.aop.2006.07.011
19. B.A. Dubrovin, V.B. Matveev, and S.P. Novikov, Russ. Math. Surv. 31, 59 (1976); 0036-0279 10.1070/RM1976v031n01ABEH001446
20. S.P. Novikov, S.V. Manakov, L.P. Pitaevskii, and V.E. Zakharov, Theory of Solitons (Plenum, New York, 1984);
21. E.D. Belokolos, A.I. Bobenko, V.Z. Enol'skii, A.R. Its, and V.B. Matveev, Algebro-Geometric Approach to Nonlinear Integrable Equations (Springer, Berlin, 1994).
22. R.F. Dashen, B. Hasslacher, and A. Neveu, Phys. Rev. D PRVDAQ 0556-2821 12, 2443 (1975); 10.1103/PhysRevD.12.2443
23. A. Neveu and N. Papanicolaou, Commun. Math. Phys. 58, 31 (1978). CMPHAY 0010-3616 10.1007/BF01624787
24. M.J. Rice, A.R. Bishop, and D.K. Campbell, Phys. Rev. Lett. 51, 2136 (1983); PRLTAO 0031-9007 10.1103/PhysRevLett.51.2136
25. A. Saxena and A.R. Bishop, Phys. Rev. A 44, R2251 (1991). PLRAAN 1050-2947 10.1103/PhysRevA.44.R2251
26. J. Feinberg and A. Zee, in Multiple Facets of Quantization and Supersymmetry, edited by, M. Olshanetsky, (World Scientific, Singapore, 2002);
27. J. Feinberg, Phys. Rev. D PRVDAQ 0556-2821 51, 4503 (1995); 10.1103/PhysRevD.51.4503
28. J. Feinberg Ann. Phys. (N.Y.) APNYA6 0003-4916 309, 166 (2004). 10.1016/j.aop.2003.08.004
29. O. Schnetz, M. Thies, and K. Urlichs, Ann. Phys. (N.Y.) APNYA6 0003-4916 321, 2604 (2006). 10.1016/j.aop.2005.12.007
30. G. Basar and G.V. Dunne, Phys. Rev. Lett. 100, 200404 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.200404
31. G. Basar, G.V. Dunne, and M. Thies, Phys. Rev. D PRVDAQ 0556-2821 79, 105012 (2009). 10.1103/PhysRevD.79.105012
32. F. Correa, G.V. Dunne, and M.S. Plyushchay, Ann. Phys. (N.Y.) APNYA6 0003-4916 324, 2522 (2009). 10.1016/j.aop.2009.06.005
33. P.B. Greene, L. Kofman, A.D. Linde, and A.A. Starobinsky, Phys. Rev. D PRVDAQ 0556-2821 56, 6175 (1997); 10.1103/PhysRevD.56.6175
34. D.I. Kaiser, Phys. Rev. D PRVDAQ 0556-2821 57, 702 (1998); 10.1103/PhysRevD.57.702
35. F. Finkel, A. Gonzalez-Lopez, A.L. Maroto, and M.A. Rodriguez, Phys. Rev. D PRVDAQ 0556-2821 62, 103515 (2000). 10.1103/PhysRevD.62.103515
36. B. Zwiebach, J. High Energy Phys. JHEPFG 1029-8479 09 (2000) 028; 10.1088/1126-6708/2000/09/028
37. J.A. Minahan and B. Zwiebach, J. High Energy Phys. JHEPFG 1029-8479 09 (2000) 029. 10.1088/1126-6708/2000/09/029
38. R. Donagi and E. Witten, Nucl. Phys. NUPBBO 0550-3213 B460, 299 (1996). 10.1016/0550-3213(95)00609-5
39. I.M. Krichever and D.H. Phong, J. Diff. Geom. 45, 349 (1997). JDGEAS 0022-040X
40. H.W. Braden, A. Marshakov, A. Mironov, and A. Morozov, Nucl. Phys. NUPBBO 0550-3213 B558, 371 (1999). 10.1016/S0550-3213(99)00414-9
41. I. Bena, J. Polchinski, and R. Roiban, Phys. Rev. D PRVDAQ 0556-2821 69, 046002 (2004); 10.1103/PhysRevD.69.046002
42. V.A. Kazakov, A. Marshakov, J.A. Minahan, and K. Zarembo, J. High Energy Phys. JHEPFG 1029-8479 05 (2004) 024; 10.1088/1126-6708/2004/05/024
43. L.F. Alday, G. Arutyunov, and A.A. Tseytlin, J. High Energy Phys. JHEPFG 1029-8479 07 (2005) 002; 10.1088/1126-6708/2005/07/002
44. N. Dorey and B. Vicedo, J. High Energy Phys. JHEPFG 1029-8479 07 (2006) 014; 10.1088/1126-6708/2006/07/014
45. N. Gromov and P. Vieira, J. High Energy Phys. JHEPFG 1029-8479 01 (2009) 016. 10.1088/1126-6708/2009/01/016
46. A.A. Andrianov, M.V. Ioffe, and V.P. Spiridonov, Phys. Lett. A 174, 273 (1993). PYLAAG 0375-9601 10.1016/0375-9601(93)90137-O
47. V.G. Bagrov and B.F. Samsonov, Theor. Math. Phys. 104, 1051 (1995). TMPHAH 0040-5779 10.1007/BF02065985
48. D.J. Fernandez C., Int. J. Mod. Phys. A 12, 171 (1997). IMPAEF 0217-751X 10.1142/S0217751X97000232
49. S.M. Klishevich and M.S. Plyushchay, Nucl. Phys. NUPBBO 0550-3213 B606, 583 (2001). 10.1016/S0550-3213(01)00197-3
50. D.J. Fernandez, J. Negro, and L.M. Nieto, Phys. Lett. A 275, 338 (2000). PYLAAG 0375-9601 10.1016/S0375-9601(00)00591-0
51. F. Correa, L.M. Nieto, and M.S. Plyushchay, Phys. Lett. B 644, 94 (2007). PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.020
52. F. Correa, V. Jakubský, L.M. Nieto, and M.S. Plyushchay, Phys. Rev. Lett. 101, 030403 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.101.030403
53. F. Correa, V. Jakubský, and M.S. Plyushchay, J. Phys. A JPHAC5 0305-4470 41, 485303 (2008). 10.1088/1751-8113/41/48/485303
54. P.G. de Gennes, Superconductivity of Metals and Alloys (Addison-Wesley, Redwood City, 1989).
55. D.J. Gross and A. Neveu, Phys. Rev. D PRVDAQ 0556-2821 10, 3235 (1974). 10.1103/PhysRevD.10.3235
56. R. Jackiw and C. Rebbi, Phys. Rev. D PRVDAQ 0556-2821 13, 3398 (1976). 10.1103/PhysRevD.13.3398
57. K.G. Klimenko, Z. Phys. C 37, 457 (1988). ZPCFD2 0170-9739 10.1007/BF01578141
58. P. Gaillard and V.B. Matveev, J. Phys. A JPHAC5 0305-4470 42, 404009 (2009). 10.1088/1751-8113/42/40/404009
59. A.A. Andrianov and A.V. Sokolov, Nucl. Phys. NUPBBO 0550-3213 B660, 25 (2003). 10.1016/S0550-3213(03)00232-3
60. F. Correa, V. Jakubský, and M.S. Plyushchay, Ann. Phys. (N.Y.) APNYA6 0003-4916 324, 1078 (2009). 10.1016/j.aop.2009.01.009
61. M. Faux and D. Spector, J. Phys. A JPHAC5 0305-4470 37, 10397 (2004). 10.1088/0305-4470/37/43/026
62. F. Correa and M.S. Plyushchay, J. Phys. A JPHAC5 0305-4470 40, 14403 (2007). 10.1088/1751-8113/40/48/007