The spectral action principle in noncommutative geometry and the superstring

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 400, Issue 1-2, 1997, Pages 87-96

  Chamseddine, A H ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040360893     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(97)00334-1     Document Type: Article

References (31)

1. E. Witten, J. Diff. Geom. 17 (1982) 661.
2. E. Witten, in: Anomalies, geometry and topology, eds. W. Bardeen and A. White (World Scientific, 1985) p. 61.
3. M.J. Bowick and S.G. Rajeev, Phys. Rev. Lett. 58 (1986) 535.
4. A. Connes, Noncommutative geometry (Academic Press, 1994); Pub. Math. IHES 62 (1983) 44.
5. A. Connes, Noncommutative geometry (Academic Press, 1994); Pub. Math. IHES 62 (1983) 44.
6. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
7. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
8. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
9. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
10. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
11. M. Dubois-Viollette, R. Kerner and J. Madore, J. Math. Phys. 31 (1990) 316; A. Connes and J. Lott, Nucl. Phys. B (Proc. Supp.) 18 (1990) 29; in: Proceedings of the 1991 Cargese summer conference, eds. J. Fröhlich et al. (Plenum, New York, 1992); D. Kastler, Rev. Math. Phys. 5 (1993) 477; A.H. Chamseddine, G. Felder and J. Fröhlich, Phys. Lett. B 296 (1992) 109; Nucl. Phys. B 395 (1993) 672.
12. A.H. Chamseddine and A. Connes, Phys. Rev. Lett. 77 (1996) 4868; hep-th/9606001 to appear in Commun. Math. Phys.
13. A.H. Chamseddine and A. Connes, Phys. Rev. Lett. 77 (1996) 4868; hep-th/9606001 to appear in Commun. Math. Phys.
14. B. Iochum, D. Kastler and T. Schucker, hep-th/9607158.
15. A.H. Chamseddine and J. Fröhlich, in: Yang Festschrift, eds. C.S. Lui and S.-F. Yau (International Press, Boston, 1995).
16. J. Fröhlich and K. Gawedzki, CPM Proceedings lecture notes, 7 (1994) 57.
17. J. Fröhlich, O. Grandjean and A. Recknagel, ETH-TH/96-45.
18. L. Alvarez-Gaumé and D.Z. Freedman, Commun. Math. Phys. 80 (1981) 443.
19. E. Witten, Commun. Math. Phys. 109 (1987) 525.
20. Commun. Math. Phys. 112 (1987) 75.
21. L. Alvarez-Gaumé, Commun. Math. Phys. 90 (1983) 161.
22. A.C. Davies, A.J. Macfarlane, P.C. Popat and J.W. van Holten, J. Phys. A 17 (1984) 2945.
23. H.W. Braden, Ann. Phys. 171 (1986) 433.
24. A.H. Chamseddine, G. Felder and J. Fröhlich, Commun. Math. Phys. 155 (1993) 205.
25. A. Connes, Commun. Math. Phys. 182 (1996) 155.
26. M.B. Green J.H. Schwarz and E. Witten, Superstring Theory (Cambridge University Press, 1987).
27. N. Seiberg and E. Witten, Nucl. Phys. B 276 (1986) 272.
28. P.B. Gilkey, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem, Publish or Perish Inc. (1984).
29. A.H. Chamseddine, Nucl. Phys. B 185 (1981) 403.
30. I. Campbell and P. West, Nucl. Phys. B 243 (1984) 112.
31. W. Lerche, Nucl. Phys. B 308 (1988) 102.