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Communications in Mathematical Physics

, Volume 125, Issue 2, pp 227–237 | Cite as

The topological sigma model

  • L. Baulieu
  • I. M. Singer
Article

Abstract

We obtain the invariants of Witten's topologicalσ-model by gauge fixing a topological action and using BRST symmetry. The fields and the BRST formalism are interpreted geometrically.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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References

  1. 1.
    Witten, E.: Commun. Math. Phys.117, 353 (1980)Google Scholar
  2. 2.
    Baulieu, L., Singer, I. M.: Topological Yang-Mills Symmetry, Nucl. Phys. B. Proc. Sup.15B, 12–19 (1988)Google Scholar
  3. 3.
    Witten, E.: Commun. Math. Phys.118, 601 (1988)Google Scholar
  4. 4.
    Gromov, M.: Invent. Math.82, 307 (1987)Google Scholar
  5. 5.
    Witten, E.: J.D.G.,17, 661 (1982); Alvarez Gaumé, L.: Commun. Math. Phys.90, 161 (1983);Google Scholar
  6. 5a.
    Friedan, D., Windey, P.: Nucl. Phys.B235, 395 (1984)Google Scholar
  7. 6.
    Labastida, J. M. F., Pernici, M.: Phys. Lett.212B, 56 (1988); Horn, J. H.: Princeton preprint PUPT 1096, 1988; Ouvry, S., Stora, R., van Baal, P.: LAPP preprint TH233/88; Labastida, J. M. F.: CERN preprint TH 5240/88; Birmingham, D., Rakowski, M., Thompson, G.: Nucl. Phys.B315, 577 (1989); Horn, J. H.: Princeton preprint PUPT 1096, 1988; Horowitz, G.: Santa Barbara preprint; Brooks, R., Montano, D., Sonnenschein, J.: SLAC preprints, SLAC-PUB 4630, 4422; Montano, D., Sonnenschein, J.: SLAC preprint, SLAC-PUB 4664; Witten, E.: Phys. Rev. Lett.61, 670 (1988)Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • L. Baulieu
    • 1
  • I. M. Singer
    • 2
  1. 1.Laboratoire de Physique Théorique et Hautes EnergiesUniversité Pierre et Marie CurieParis Cedex 05France
  2. 2.Mathematical DepartmentMITCambridgeUSA

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