Skip to main content

HyperKähler quotients and N=4 gauge theories in D=2

  • Conference paper
  • First Online:
Strings and Symmetries

Part of the book series: Lecture Notes in Physics ((LNP,volume 447))

  • 747 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Anselmi and P. Fre'. “Topological sigma models in four dimensions and tri-holo morphic maps ”. Nucl. Phys., B416:255, (1994).

    Google Scholar 

  2. E. Witten and N. Seiberg. “Electric-magnetic duality, monopole condensation and confinement in N=2 supersymmetric Yang-Mills theory”. Nucl. Phys., B426:19, (1994).

    Google Scholar 

  3. E. Witten and N. Seiberg. “Monopoles, duality and chiral supersymmetry breaking in N=2 QCD”. hep-th, /9408013:, (1994).

    Google Scholar 

  4. E. Witten. “ Monopoles and four manifolds”. IASSNS-HEP-9496 hep-th, /9411102:, (1994).

    Google Scholar 

  5. A. Ceresole, R. D'Auria, and S. Ferrara. “On the geometry of moduli space of vacua in N=2 supersymmetric Yang-Mills theory”. CERN-TH 7884/94 POLFIS-TH, 07/94:, (1994). POLFIS-TH, 07/94: (1994).

    Google Scholar 

  6. M. Billo', P. Fre', L. Girardello, and A. Zaffaroni. “Gravitational instantons in heterotic string theory: the H-map and the moduli deformations of (4,4) superconformal theories ”. Int. Jour. Mod. Phys., A8:2351, (1993).

    Google Scholar 

  7. D. Anselmi, M. Billo', P. Fre', L. Girardello, and A. Zaffaroni. “ALE manifolds and conformal field theoris ”. Int. Jour. Mod. Phys., A9:3007, (1994).

    Google Scholar 

  8. M. Billo' and P. Fre'. “N=4 versus N=2 phases, HyperKähler quotients and the 2d topological twist ”. Class. and Quantum Grav., 11:785, (1994).

    Google Scholar 

  9. P.B. Kronheimer. “The construction of ALE spaces as HyperKähler quotients ”. Jour Dif. Geo., 29:665, (1989).

    Google Scholar 

  10. S. Hawking and C.N. Pope. “Symmetry breaking by instantons in supergravity ”. Nucl. Phys., B146:381, (1978).

    Google Scholar 

  11. P. Fayet and J. Iliopulos. “Spontaneously broken supergauge symmetries and Goldstone spinors ”. Phys. Lett., 51B:46, (1974).

    Google Scholar 

  12. D. Anselmi and P. Fre'. “Twisted N=2 supergravity as topological gravity in four dimensions ”. Nucl. Phys., 13392:401, (1993).

    Google Scholar 

  13. D. Anselmi and P. Fre'. “Topological twist in four dimensions, R duality and hyperinstantons ”. Nucl. Phys., 13404:288, (1993).

    Google Scholar 

  14. N.J. Hitchin, A. Karlhede, U. Lindström, and M. Rocek. “HyperKähler metrics and supersymmetry”. Comm. Math. Phys., 108:535, (1987).

    Google Scholar 

  15. U. Lindstrom and M. Rocek. “Scalar-tensor dualities and N=1,2 non-linear sigma-models ”. Nucl. Phys., B222:285, (1983).

    Google Scholar 

  16. P.B. Kronheimer. “A Torelli-type theorem for gravitational instantons ”. Jour Diff. Geo., 29:685, (1989).

    Google Scholar 

  17. T. Eguchi and A.J. Hanson. “Self-dual solutions to Euclidean gravity”. Ann. Phys., 120:82, (1979).

    Google Scholar 

  18. G.W. Gibbons and S. Hawking. “Classification of gravitational instanton symmetries ”. Comm. Math. Phys., 66:381, (1979).

    Google Scholar 

  19. N.J. Hitchin. “Polygons and gravitons ”. Math. Proc. Cambridge Phylos. Soc., 85:465, (1979).

    Google Scholar 

  20. E. Witten. “Phases of N=2 theories in two dimensions ”. Nucl. Phys., B403:159, (1993).

    Google Scholar 

  21. K. Galicki. “A generalization of the momentum mapping construction for quaternionic Khaler manifolds”. Comm. Math. Phys., 108:117, (1987).

    Google Scholar 

  22. E. Calabi. “Metriques Kiihleriennes et fibres holomorphes”. Ann. Scie. Ec. Norm. Sup., 12:269, (1979).

    Google Scholar 

  23. J. McKay. “Graphs, singularities and finite groups ”. Proc. Symp. Pure Math., Am. Math. Soc., 37:183, (1980).

    Google Scholar 

  24. M. Artin. Am. J. Math., 88:129, (1966).

    Google Scholar 

  25. V.I. Arnold, S.M. Gusein-lade, and A.N. Varchenko. Singularities of differntable maps. Birkhäuser, 1975.

    Google Scholar 

  26. E. Brieskorn. in Actes Congrés Intern. Math. Ann. (t. 2), (1970).

    Google Scholar 

  27. P. Slodowy. Simple Singularities and Simple Algebraic Groups. Lect. Notes in Math. 815, Springer Verlag, 1980.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Gülen Aktaş Cihan Saçlioğlu Meral Serdaroğlu

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag

About this paper

Cite this paper

Billó, M., Fré, P. (1995). HyperKähler quotients and N=4 gauge theories in D=2. In: Aktaş, G., Saçlioğlu, C., Serdaroğlu, M. (eds) Strings and Symmetries. Lecture Notes in Physics, vol 447. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59163-X_266

Download citation

  • DOI: https://doi.org/10.1007/3-540-59163-X_266

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59163-4

  • Online ISBN: 978-3-540-49204-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics