Details
| Original language | English |
|---|---|
| Pages (from-to) | 4147-4172 |
| Number of pages | 26 |
| Journal | International Journal of Modern Physics A |
| Volume | 11 |
| Issue number | 22 |
| Publication status | Published - 1996 |
| Externally published | Yes |
Abstract
We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.
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. 11, No. 22, 1996, p. 4147-4172.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On modular invariant partition functions of conformal field theories with logarithmic operators
AU - Flohr, Michael A.I.
PY - 1996
Y1 - 1996
N2 - We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.
AB - We extend the definitions of characters and partition functions to the case of conformal field theories which contain operators with logarithmic correlation functions. As an example we consider the theories with central charge c = cP,1 = 13 -6(p + p-1), the "border" of the discrete minimal series. We show that there is a slightly generalized form of the property of rationality for such logarithmic theories. In particular, we obtain a classification of theories with c = cp,1 which is similar to the A-D-E classification of c = 1 models.
UR - http://www.scopus.com/inward/record.url?scp=1542636691&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/9509166
DO - 10.48550/arXiv.hep-th/9509166
M3 - Article
AN - SCOPUS:1542636691
VL - 11
SP - 4147
EP - 4172
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 22
ER -