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Current Algebra Associated with Logarithmic Conformal Field Theories

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Abstract

We propose a general framework for deriving the OPEs within a logarithmic conformal field theory (LCFT). This naturally leads to the emergence of a logarithmetic partner of the energy momentum tensor within an LCFT and implies that the current algebra associated with an LCFT is expanded. We derive this algebra for a generic LCFT and discuss some of its implications. We observe that two constants arise in the OPE of the energy-momentum tensor with itself. One of these is the usual central charge.

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References

  1. Belavin, A. A., Polyakov, A. M. and Zamolodchikov, A. B.: Nuclear Phys. B 241 (1984), 333.

    Google Scholar 

  2. Gurarie, V.: Nuclear Phys. B 410 (1993), 535 [hep-th/9303160].

    Google Scholar 

  3. Rahimi-Tabar, M. R. and Rouhani, S.: Nuovo Cimento B 112 (1997), 1079, [hep-th/9507166]; Europhys. Lett. 37 (1997), 447, [hep-th/9606143]; Flohr, M.: Nuclear Phys. B 482 (1996), 567, [hep-th/9606130]; Caux, J.-S., Taniguchi, Ng. and Tsvelik, A.: Nuclear Phys. B 525 (1998), 671, [cond-mat/9801055]; Kogan, I. I. and Tsvelik, A.: Modern Phys. Lett. A 15 (2000), 931 [hep-th/9912143]; Cardy, J.: Logarithmic correlations in quenched random magnets and polymers, [cond-mat/9911024].

    Google Scholar 

  4. Flohr, M.: [hep-th/0009137].

  5. Lewis, A.: [hep-th/0009096].

  6. Kogan, I. I. and Polyakov, D.: [hep-th/0012128].

  7. Moghimi-Araghi, S., Rouhani, S. and Saadat, M.: [hep-th/0008165].

  8. Kausch, H. G.: Nuclear Phys. B 583 (2000), 513-541 [hep-th/0003029].

    Google Scholar 

  9. Kogan, I. I. and Lewis, A.: Nuclear Phys. B 509 (1998), 687 [hep-th/9705240].

    Google Scholar 

  10. Caux, J.-S., Kogan, I. I., Lewis, A. and Tsevelik, A. M.: Nuclear Phys. B 489 (1997) 469 [hep-th/9606138].

    Google Scholar 

  11. Gurarie, V. and Ludwig, A. W. W.: [cond-mat/9911392].

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Authors and Affiliations

  1. Department of Physics, Sharif University of Technology, PO Box 11365-9161, Tehran, Iran

    S. Moghimi-Araghi, S. Rouhani & M. Saadat

  2. Institute for Studies in Theoretical Physics and Mathematics, PO Box, 19395-5531, Tehran, Iran

    S. Moghimi-Araghi, S. Rouhani & M. Saadat

Authors
  1. S. Moghimi-Araghi
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  2. S. Rouhani
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  3. M. Saadat
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Moghimi-Araghi, S., Rouhani, S. & Saadat, M. Current Algebra Associated with Logarithmic Conformal Field Theories. Letters in Mathematical Physics 55, 71–76 (2001). https://doi.org/10.1023/A:1010976119400

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  • DOI: https://doi.org/10.1023/A:1010976119400

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