Details
| Original language | English |
|---|---|
| Pages (from-to) | 1943-1958 |
| Number of pages | 16 |
| Journal | International Journal of Modern Physics A |
| Volume | 12 |
| Issue number | 10 |
| Publication status | Published - 20 Apr 1997 |
| Externally published | Yes |
Abstract
We find the fusion rules for the cp,i series of logarithmic conformal field theories. This completes our attempts to generalize the concept of rationality for conformal field theories to the logarithmic case. A novelty is the appearance of negative fusion coefficients which can be understood in terms of exceptional quantum group representations. The effective fusion rules (i.e. without signs and multiplicities) resemble the BPZ fusion rules for the virtual minimal models with conformal grid given via c = c3p,3. This leads to the conjecture that (almost) all minimal models with c = cp,q, gcd(p,q) > 1, belong to the class of rational logarithmic conformal field theories.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
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In: International Journal of Modern Physics A, Vol. 12, No. 10, 20.04.1997, p. 1943-1958.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On fusion rules in logarithmic conformal field theories
AU - Flohr, Michael A.I.
PY - 1997/4/20
Y1 - 1997/4/20
N2 - We find the fusion rules for the cp,i series of logarithmic conformal field theories. This completes our attempts to generalize the concept of rationality for conformal field theories to the logarithmic case. A novelty is the appearance of negative fusion coefficients which can be understood in terms of exceptional quantum group representations. The effective fusion rules (i.e. without signs and multiplicities) resemble the BPZ fusion rules for the virtual minimal models with conformal grid given via c = c3p,3. This leads to the conjecture that (almost) all minimal models with c = cp,q, gcd(p,q) > 1, belong to the class of rational logarithmic conformal field theories.
AB - We find the fusion rules for the cp,i series of logarithmic conformal field theories. This completes our attempts to generalize the concept of rationality for conformal field theories to the logarithmic case. A novelty is the appearance of negative fusion coefficients which can be understood in terms of exceptional quantum group representations. The effective fusion rules (i.e. without signs and multiplicities) resemble the BPZ fusion rules for the virtual minimal models with conformal grid given via c = c3p,3. This leads to the conjecture that (almost) all minimal models with c = cp,q, gcd(p,q) > 1, belong to the class of rational logarithmic conformal field theories.
UR - http://www.scopus.com/inward/record.url?scp=0346681086&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/9605151
DO - 10.48550/arXiv.hep-th/9605151
M3 - Article
AN - SCOPUS:0346681086
VL - 12
SP - 1943
EP - 1958
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 10
ER -