Derivation of the supersymmetric Harish-Chandra integral for UOSp(k 1/2k2)

Journal of Mathematical Physics

Volumn 45, Issue 9, 2004, Pages 3636-3644

  Guhr, Thomas ^a   Kohler, Heiner ^b  

^a LUND UNIVERSITY   (Sweden)

^b UNIVERSIDAD AUTÓNOMA DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644304464     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1781746     Document Type: Article

References (41)

1. Harish-Chandra, Am. J. Math. 79, 87 (1957).
2. I. M. Gelfand, Dokl. Akad. Nauk SSSR 70, 5 (1950).
3. S. Helgason, Groups and Geometric Analysis (Academic, San Diego, 1984).
4. Harish-Chandra, Am. J. Math. 94, 241 (1958).
5. M. A. Olshanetsky and A. M. Perelomov, Phys. Rep. 94, 313 (1983).
6. C. Itzykson and J. B. Zuber, J. Math. Phys. 21, 411 (1980); Phys. Rep. 129, 367 (1985).
7. C. Itzykson and J. B. Zuber, J. Math. Phys. 21, 411 (1980); Phys. Rep. 129, 367 (1985).
8. T. Guhr, J. Math. Phys. 32, 336 (1991).
9. T. Guhr, Commun. Math. Phys. 176, 555 (1996).
10. J. Alfaro, R. Medina, and L. Urrutia, J. Math. Phys. 36, 3085 (1995).
11. V. Serganova (private communication).
12. M. R. Zirnbauer, J. Phys. A 29, 7113 (1996).
13. V. C. Kac, Commun. Math. Phys. 53, 31 (1977).
14. V. C. Kac, Adv. Math. 26, 8 (1977).
15. V. Rittenberg, A Guide to Lie Superalgebras, Lecture Notes in Physics (Springer-Verlag, Berlin, 1977), Vol, 79.
16. F. A. Berezin, Introduction to Superanalysis, MPAM9 (Reidel, Dordrecht, 1987).
17. V. Serganova, Funct. Anal. Appl. 17, 46 (1983).
18. M. Parker, J. Math. Phys. 21, 689 (1980).
19. J. Bernstein, in Quantum Fields and Strings II, edited by P. Deligne, P. Etingof, and D. S. Freed (AMS, New York, 1999), p. 41.
20. D. A. Leites, Usp. Mat. Nauk 35, 3 (1980).
21. M. Zirnbauer, J. Math. Phys. 37, 4986 (1996).
22. K. Efetov, Adv. Phys. 32, 53 (1983).
23. M. J. Rothstein, Trans. Am. Math. Soc. 299, 387 (1987).
24. E. Brézin, in Two Dimensional Quantum Gravity and Random Surfaces, edited by D. J. Gross, T. Piran, and S. Weinberg (World Scientific, Singapore, 1992), p. 37.
25. F. A. Berezin and F. I. Karpelevich, Dokl. Akad. Nauk SSSR 118, 9 (1958).
26. B. Hoogenboom, Ark. Mat., Astron. Fys. 20, 69 (1982).
27. T. Guhr and T. Wettig, J. Math. Phys. 37, 6395 (1996).
28. A. D. Jackson, M. K. Sener, and J. J. M. Verbaarschot, Nucl. Phys. B 506, 612 (1997).
29. T. Guhr and H. Kohler, math-ph/0011007.
30. T. Guhr and H. Kohler, J. Math. Phys. 43, 2707 (2002).
31. T. Guhr and H. Kohler, math-ph/0012047.
32. T. Guhr and H. Kohler, J. Math. Phys. 43, 2741 (2002).
33. A. B. Balantekin, Phys. Rev. D 62, 085017 (2000); hep-th/0007161.
34. A. B. Balantekin, Phys. Rev. E 64, 066105 (2001); cond-mat/0109112.
35. B. Schlittgen and T. Wettig, J. Phys. A 36, 3195 (2003); math-ph/0209030.
36. P. Zinn-Justin and J. B. Zuber, J. Phys. A 36, 3173 (2003); math-ph/0209019.
37. A. B. Balantekin and P. Cassak, J. Math. Phys. 43, 604 (2002).
38. I. M. Gelfand and M. L. Tzetlin, Dokl. Akad. Nauk 71, 825 (1950).
39. A. O. Barut and R. Raczka, Theory of Group Representations and Applications (Polish Scientific Publishers, Warszawa, 1980).
40. S. L. Shatashvili, Commun. Math. Phys. 154, 421 (1993).
41. J. J. M. Verbaatschot, H. Weidenmüller, and M. Zirnbauer, Phys. Rep. 129, 369 (1985).