Skip to main content
SpringerLink
Log in

Kodaira-Spencer Theory of Gravity

  • Chapter
Quantum Field Theory and String Theory

Part of the book series: NATO ASI Series ((NSSB,volume 328))

  • 476 Accesses

Abstract

We briefly review the topological model on Calabi-Yau 3-fold coupled to gravity. We discuss the Kodaira-Spencer Theory of Gravity which is equivalent to topological B-model on Calabi-Yau 3-fold and may be viewed as the closed string analog of Chern-Simons Theory.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. E. Witten, Chern-Simons Gauge Theory as a String Theory, IASSNS-HEP-92/45, hep-th/9207094.

    Google Scholar 

  2. B. Gato-Rivera and A.M. Semikhatov, Phys. Lett. B293 (1992) 72–80.

    MathSciNet  ADS  Google Scholar 

  3. M. Bershadsky, W. Lerche, D. Nemeschansky, N.P. Warner, Nucl. Phys. B401 (1993) 304.

    Article  MathSciNet  ADS  Google Scholar 

  4. E. Witten, Nucl. Phys. B340 (1990) 281 R. Dijkgraaf and E. Witten, Nucl. Phys. B342 (1990) 486.

    Article  MathSciNet  ADS  Google Scholar 

  5. E. Verlinde and H. Verlinde, Nucl. Phys. B348 (1991) 457.

    Article  MathSciNet  ADS  Google Scholar 

  6. K. Li, Nucl. Phys. B354 (1991) 725-739.

    Article  ADS  Google Scholar 

  7. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa Kodaira-Spencer Theory of Gravity and Exact Results for Quantum String Amplitudes, HUTP-93/A025.

    Google Scholar 

  8. K. Kodaira and D.C. Spencer, Annals of Math. 67 (1958) 328 K. Kodaira, L. Niremberg and D.C. Spencer, Annals of Math. 68 (1958) 450 K. Kodaira and D.C. Spencer, Acta Math. 100 (1958) 281 K. Kodaira and D.C. Spencer, Annals of Math. 71 (1960) 43.

    Article  MathSciNet  MATH  Google Scholar 

  9. G. Tian, in Essays on Mirror manifolds, ed. by S. T. Yau, International Press, 1992 G. Tian, in Mathematical aspects of String theory, ed. by S. T. Yau, World Scientific, Singapore, 1987.

    Google Scholar 

  10. G. Tian, private communication.

    Google Scholar 

  11. A.N. Todorov, Comm. Math. Phys. 126 (1989) 325.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. P. Griffiths and J. Harris Principles of Algebraic Geometry New York, Wiley, 1978.

    MATH  Google Scholar 

  13. M. Kuranishi, Annals of Math 75 (1962) 536.

    Article  MathSciNet  MATH  Google Scholar 

  14. D.B. Ray and I.M. Singer, Ann. Math. 98 (1973) 154.

    Article  MathSciNet  MATH  Google Scholar 

  15. J.M. Bismut and D.S. Freed, Comm. Math. Phys. 106 (1986) 159; 107 (1986) 103 J.M. Bismut, H. Gillet and C. Soule, Comm. Math. Phys. 115 (1988) 49, 79, 301.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Nicl. Phys. B405 (1993) 279.

    Article  MathSciNet  ADS  Google Scholar 

  17. B. Zwiebach, Closed String Field Theory: Quantum Action and the B-V Master equation, IASSNS-HEP-92/41, MIT-CTP-2102, hep-th/9206084.

    Google Scholar 

  18. I. A. Batalin and G. A. Vilkovisky, Phys. Rev D28 (1983) 2567.

    MathSciNet  ADS  Google Scholar 

  19. M. Henneaux, Lectures on the antifield-BRST formalism for gauge theories, Proc. of XXII GIFT Meeting.

    Google Scholar 

  20. E. Witten, Quantum Background Independence in String Theory.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lyman Laboratory, Harvard University, Cambridge, MA, 02138, USA

    Michael Bershadsky

Authors
  1. Michael Bershadsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Université Pierre et Marie Curie (Paris VI), Paris, France

    Laurent Baulieu , Vladimir Dotsenko  & Paul Windey ,  & 

  2. Université Pierre et Marie Curie (Paris VI) and École Normale Supérieure, Paris, France

    Vladimir Kazakov

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer Science+Business Media New York

About this chapter

Cite this chapter

Bershadsky, M. (1995). Kodaira-Spencer Theory of Gravity. In: Baulieu, L., Dotsenko, V., Kazakov, V., Windey, P. (eds) Quantum Field Theory and String Theory. NATO ASI Series, vol 328. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1819-8_3

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-1819-8_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5735-3

  • Online ISBN: 978-1-4615-1819-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation