Details
| Original language | English |
|---|---|
| Pages (from-to) | 475-493 |
| Number of pages | 19 |
| Journal | Nuclear Physics B |
| Volume | 802 |
| Issue number | 3 |
| Early online date | 10 May 2008 |
| Publication status | Published - 21 Oct 2008 |
Abstract
Although logarithmic conformal field theories (LCFTs) are known not to factorise many previous findings have only been formulated on their chiral halves. Making only mild and rather general assumptions on the structure of an chiral LCFT we deduce statements about its local non-chiral equivalent. Two methods are presented how to construct local representations as subrepresentations of the tensor product of chiral and anti-chiral Jordan cells. Furthermore we explore the assembly of generic non-chiral correlation functions from generic chiral and anti-chiral correlators. The constraint of locality is studied and the generality of our method is discussed.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 802, No. 3, 21.10.2008, p. 475-493.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Towards the construction of local logarithmic conformal field theories
AU - Do, Anne Ly
AU - Flohr, Michael
PY - 2008/10/21
Y1 - 2008/10/21
N2 - Although logarithmic conformal field theories (LCFTs) are known not to factorise many previous findings have only been formulated on their chiral halves. Making only mild and rather general assumptions on the structure of an chiral LCFT we deduce statements about its local non-chiral equivalent. Two methods are presented how to construct local representations as subrepresentations of the tensor product of chiral and anti-chiral Jordan cells. Furthermore we explore the assembly of generic non-chiral correlation functions from generic chiral and anti-chiral correlators. The constraint of locality is studied and the generality of our method is discussed.
AB - Although logarithmic conformal field theories (LCFTs) are known not to factorise many previous findings have only been formulated on their chiral halves. Making only mild and rather general assumptions on the structure of an chiral LCFT we deduce statements about its local non-chiral equivalent. Two methods are presented how to construct local representations as subrepresentations of the tensor product of chiral and anti-chiral Jordan cells. Furthermore we explore the assembly of generic non-chiral correlation functions from generic chiral and anti-chiral correlators. The constraint of locality is studied and the generality of our method is discussed.
UR - http://www.scopus.com/inward/record.url?scp=46749111025&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2008.05.001
DO - 10.1016/j.nuclphysb.2008.05.001
M3 - Article
AN - SCOPUS:46749111025
VL - 802
SP - 475
EP - 493
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 3
ER -