Skip to main content
SpringerLink
Log in

Curvature formula for the space of 2-d conformal field theories

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We derive a formula for the curvature tensor of the natural Riemannian metric on the space of two-dimensional conformal field theories and also a formula for the curvature tensor of the space of boundary conformal field theories.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Kutasov, Geometry on the space of conformal field theories and contact terms, Phys. Lett. B 220 (1989) 153 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  2. L.J. Dixon, V. Kaplunovsky and J. Louis, On effective field theories describing (2, 2) vacua of the heterotic string, Nucl. Phys. B 329 (1990) 27 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. J. de Boer, J. Manschot, K. Papadodimas and E. Verlinde, The chiral ring of AdS 3/CFT 2 and the attractor mechanism, JHEP 03 (2009) 030 [arXiv:0809.0507] [INSPIRE].

    Article  Google Scholar 

  4. D. Friedan, A tentative theory of large distance physics, JHEP 10 (2003) 063 [hep-th/0204131] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. D. Friedan and A. Konechny, Gradient formula for the β-function of 2d quantum field theory, J. Phys. A 43 (2010) 215401 [arXiv:0910.3109] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. E. Rabinovici, Spontaneous breaking of space-time symmetries, Lect. Notes Phys. 737 (2008) 573 [arXiv:0708.1952] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. H. Osborn, Weyl consistency conditions and a local renormalization group equation for general renormalizable field theories, Nucl. Phys. B 363 (1991) 486 [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. D. Kutasov, M. Mariño and G.W. Moore, Some exact results on tachyon condensation in string field theory, JHEP 10 (2000) 045 [hep-th/0009148] [INSPIRE].

    Article  ADS  Google Scholar 

  9. D. Friedan and A. Konechny, On the boundary entropy of one-dimensional quantum systems at low temperature, Phys. Rev. Lett. 93 (2004) 030402 [hep-th/0312197] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  10. I. Affleck and A.W. Ludwig, Universal noninteger ‘ground state degeneracy’ in critical quantum systems, Phys. Rev. Lett. 67 (1991) 161 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Giveon, M. Porrati and E. Rabinovici, Target space duality in string theory, Phys. Rept. 244 (1994) 77 [hep-th/9401139] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. G.W. Moore, Finite in all directions, hep-th/9305139 [INSPIRE].

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Rutgers, The State University of New Jersey, Piscataway, New Jersey, 08854-8019, U.S.A.

    Daniel Friedan

  2. Natural Science Institute, The University of Iceland, Reykjavik, Iceland

    Daniel Friedan

  3. Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, U.K.

    Anatoly Konechny

  4. Maxwell Institute for Mathematical Sciences, Edinburgh, U.K.

    Anatoly Konechny

Authors
  1. Daniel Friedan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anatoly Konechny
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anatoly Konechny.

Additional information

ArXiv ePrint: 1206.1749

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedan, D., Konechny, A. Curvature formula for the space of 2-d conformal field theories. J. High Energ. Phys. 2012, 113 (2012). https://doi.org/10.1007/JHEP09(2012)113

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP09(2012)113

Keywords

Search

Navigation