Skip to main content
SpringerLink
Log in

Geometric models and the modulli spaces for string theories

  • 3. Conformal Field Theory and Related Topics
  • Conference paper
  • First Online:
Differential Geometric Methods in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 375))

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ademollo M., Brink L., D'Adda A., D'Auria R., Napolitano E., Sciuto S., Del Guidice E., Di Veccia P., Ferrara S., Gliozzi F., Musto R., Pettorino R., Supersymmetric strings and colour confinement. Phys. Lett. B 62, 1976, 105–110; Nucl. Phys. B 111, 1976, 77; id., ibid., 114, 1976, 297

    Google Scholar 

  2. Alekseevsky D., Leites D., Shchepochkina L, New examples of simple Lie superalgebras of vector fields. C.r. Acad. Bulg. Sci., v. 34, N9, 1980, 1187–1190 (in Russian)

    Google Scholar 

  3. Arbarello E., De Concini C., Kac V., Procesi C., Moduli spaces of curves and representation theory. Commun. Math. Phys. 117, 1988, 1–36

    Google Scholar 

  4. Berezin F. Analysis with anticommuting variables. Kluwer, 1987

    Google Scholar 

  5. Beilinson A., Schekhtman V., Determinant bundles and Virasoro algebras. Commun. Math. Phys. 118, 1988, 651–701

    Google Scholar 

  6. Chaichian M., Leites D., Serganova V., On ghost, semiinfinite and highly diagonalizable representations. CERN preprint, 1990

    Google Scholar 

  7. Crane L., Rabin J.M., Super Riemann surfaces: uniformisation and Teichmüller theory. Commun. Math. Phys. 113, 1988, 601

    Google Scholar 

  8. Deligne P., Letters to Yu. Manin (fall, 1988)

    Google Scholar 

  9. Egorov G., How to superize 91(∞). Sec. 5 in [L5]

    Google Scholar 

  10. Feigin B., Notes on the Virasoro algebra, Schrödinger operator and projective structures on curves. Preprint, 1986 (to appear in [L3])

    Google Scholar 

  11. Falqui G., Reina C., N = 2 super Riemann surfaces and algebraic geometry. J. Math. Phys. 31(4), 1990, 948–952

    Google Scholar 

  12. Kac V., van de Leur J., On classification of superconformal algebras. In: Strings-88, World Sci., 1989, 77–106

    Google Scholar 

  13. Kontsevich M.L., Virasoro algebra and Teichmüller spaces. Sov. J. Func. Anal. Appl. 21(2), 1987, 156–157

    Google Scholar 

  14. Le Brun C., Rothstein M., Moduli of super Riemann surfaces. Commun. Math. Phys. 117, 1988, 159

    Google Scholar 

  15. Leites D., Supermanifold theory. Petrozavodsk, Karelia branch of the USSR Acad of Sci., 1983, 200p. (in Russian; an expanded English version is [L3]; meanwhile see a preprinted version in 34 issues, Reports of Dept. of Math. Stockholm Univ., 1987-1990, 2800p.)

    Google Scholar 

  16. Leites D., Lie superalgebras. In: Itogi nauki i tehniki. Ser. Sovr. probl. matem. Novejshie dostizheniya. v.25, VINITI, 1984, 1-50 (Russian; Engl. transl. in Sov. J. Math. (JOSMAR) 30

    Google Scholar 

  17. Leites D.(ed.) Seminar on supermanifolds. v.1-4, Kluwer(?), 1991

    Google Scholar 

  18. Leites D. Supermanifolds and quantization. Supplement 3. In: Berezin F., Shubin M., Schrödinger equation, Kluwer, 1991

    Google Scholar 

  19. Leites D. On superized Leznov-Saveliev equations and their their relation with superized KdV and KP. Appendix in: A.Leznov, M.Saveliev. A group-theoretical method for integrating nonlinear dynamical systems. Birkhauser, 1991

    Google Scholar 

  20. Leites D., Feigin B., New Lie superalgebras of string theories. In: Group-theoretical methods in physics, Zvenigorod, 1983. Nauka, Moscow, v. 1, 1984, (in Russian; Engl. transl. published by Harwood Publ. Co., 1986)

    Google Scholar 

  21. Manin Yu., Critical dimensions of string theories and the dualizing sheaf on the moduli space of (super)curves. Sov. J. Funct. Anal. Appl. 20 (3), 1986, 244–245

    Google Scholar 

  22. Manin Yu., Neveu-Schwarz sheaves and differential equations for Mumford superforms. In: Geometry and Analysis.

    Google Scholar 

  23. Manin Yu., Gauge fields and complex geometry. Springer, 1988

    Google Scholar 

  24. Manin Yu., Superalgebraic curves and quantum strings. Compositio Math.

    Google Scholar 

  25. Mathieu O. Talk at ICM-90.

    Google Scholar 

  26. Ovsienko O., Ovsienko V., Tchekanov Yu., Classification of the contact-projective structures on supercircle. Russian Math. Surveys, 44 (3), 1989

    Google Scholar 

  27. Rabin J., The geometry of the super KP flows. Preprint UC San Diego, June, 1990

    Google Scholar 

  28. Radul A., Superizing Schwarz derivative and Bott's cocycle. In: [L1], #1.

    Google Scholar 

  29. Radul A., Algebro-geometric solution to the super Kadomsev-Petviashvily hierarchy. In: [L1], #28, 1988-10, 1-10

    Google Scholar 

  30. Ramond P., Schwarz J., Phys. Lett. B 64, 1976, 75; J. Math. Phys., v.21, #4, 1980

    Google Scholar 

  31. Schoutens K., A nonlinear representation of the d = 2 so(4)-extended superconformal algebra. Phys. Lett. B 194, 1987, 75–80; id. O(N)-extended superconformal field theory in superspace. Nucl. Phys. B 295, 1988, 634–652

    Google Scholar 

  32. Serganova V. Classification of simple real Lie superalgebras and of classical superdomains. Sov. J. Func. Anal. Appl. 18(2), 1984, 59–60

    Google Scholar 

  33. Serganova V. Real forms of stringy Lie superalgebras. Sov. J. Func. Anal. Appl. 18(2), 1984, 59–60

    Google Scholar 

  34. Schwimmer A., Seiberg N., Comments on the N = 2, 3, 4 superconformal algebras in two dimensions. Phys. Lett. B 184, 1987, 191–196

    Google Scholar 

  35. Ueno K., Yamada H., Some observations on geometric representations of the superconformal algebras and a superanalogue of the Mumford sheaves. In: Prospects of Algebraic Analysis, Acad. Press, 1988

    Google Scholar 

  36. Vaintrob A. Deformations of complex supermanifolds. Sov. J. Func. Anal. Appl. 18(2), 1984, 59–60; id. Deformations of complex supermanifolds. In: Group-theoretical methods in physics, Yurmala, 1985. Nauka, Moscow, v. 1, 1985, (in Russian; Engl. transl. published by VNU Sci. Press, 1987)

    Google Scholar 

  37. Vaintrob A. Deformations of complex structures on supermanifolds. In: [L1], #24.

    Google Scholar 

  38. Vaintrob A. Deformations of complex superspaces and coherent sheaves on them. In: Itogi nauki i tehniki. Ser. Sovr. probl. matem. Novejshie dostizheniya. v.32, VINITI, 1988, 125201 (Russian; Engl. transl. in JOSMAR)

    Google Scholar 

  39. Vaintrob A. Complex structures on supermanifolds and their deformations. In: [L3], v.3.

    Google Scholar 

  40. Voronov A., A formula for the Mumford measure in the superstring theory. Sov. J. Funct. Anal Appl. 22(2), 1988, 67–68

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Stockholm University, Box. 6701, S-11385, Stockholm, Sweden

    Arkady Vaintrob

Authors
  1. Arkady Vaintrob
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

C. Bartocci U. Bruzzo R. Cianci

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Vaintrob, A. (1991). Geometric models and the modulli spaces for string theories. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_64

Download citation

  • DOI: https://doi.org/10.1007/3-540-53763-5_64

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53763-2

  • Online ISBN: 978-3-540-47090-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation