Details
| Original language | English |
|---|---|
| Pages (from-to) | 4497-4591 |
| Number of pages | 95 |
| Journal | International Journal of Modern Physics A |
| Volume | 18 |
| Issue number | 25 |
| Publication status | Published - 10 Oct 2003 |
Abstract
These are notes of my lectures held at the first School & Workshop on Logarithmic Conformal Field Theory and its Applications, September 2001 in Tehran, Iran. These notes cover only selected parts of the by now quite extensive knowledge on logarithmic conformal field theories. In particular, I discuss the proper generalization of null vectors towards the logarithmic case, and how these can be used to compute correlation functions. My other main topic is modular invariance, where I discuss the problem of the generalization of characters in the case of indecomposable representations, a proposal for a Verlinde formula for fusion rules and identities relating the partition functions of logarithmic conformal field theories to such of well known ordinary conformal field theories. The two main topics are complemented by some remarks on ghost systems, the Haldane-Rezayi fractional quantum Hall state, and the relation of these two to the logarithmic c = -2 theory.
Keywords
- Conformal field theory
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. 18, No. 25, 10.10.2003, p. 4497-4591.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bits and pieces in logarithmic conformal field theory
AU - Flohr, Michael A.I.
PY - 2003/10/10
Y1 - 2003/10/10
N2 - These are notes of my lectures held at the first School & Workshop on Logarithmic Conformal Field Theory and its Applications, September 2001 in Tehran, Iran. These notes cover only selected parts of the by now quite extensive knowledge on logarithmic conformal field theories. In particular, I discuss the proper generalization of null vectors towards the logarithmic case, and how these can be used to compute correlation functions. My other main topic is modular invariance, where I discuss the problem of the generalization of characters in the case of indecomposable representations, a proposal for a Verlinde formula for fusion rules and identities relating the partition functions of logarithmic conformal field theories to such of well known ordinary conformal field theories. The two main topics are complemented by some remarks on ghost systems, the Haldane-Rezayi fractional quantum Hall state, and the relation of these two to the logarithmic c = -2 theory.
AB - These are notes of my lectures held at the first School & Workshop on Logarithmic Conformal Field Theory and its Applications, September 2001 in Tehran, Iran. These notes cover only selected parts of the by now quite extensive knowledge on logarithmic conformal field theories. In particular, I discuss the proper generalization of null vectors towards the logarithmic case, and how these can be used to compute correlation functions. My other main topic is modular invariance, where I discuss the problem of the generalization of characters in the case of indecomposable representations, a proposal for a Verlinde formula for fusion rules and identities relating the partition functions of logarithmic conformal field theories to such of well known ordinary conformal field theories. The two main topics are complemented by some remarks on ghost systems, the Haldane-Rezayi fractional quantum Hall state, and the relation of these two to the logarithmic c = -2 theory.
KW - Conformal field theory
UR - http://www.scopus.com/inward/record.url?scp=0242332349&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0111228
DO - 10.48550/arXiv.hep-th/0111228
M3 - Article
AN - SCOPUS:0242332349
VL - 18
SP - 4497
EP - 4591
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
SN - 0217-751X
IS - 25
ER -