What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Michael Flohr
  • Michael Koehn

Organisationseinheiten

Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
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Details

OriginalspracheEnglisch
Aufsatznummer494007
FachzeitschriftJournal of Physics A: Mathematical and Theoretical
Jahrgang46
Ausgabenummer49
Frühes Online-Datum20 Nov. 2013
PublikationsstatusVeröffentlicht - 13 Dez. 2013

Abstract

In this article, we review some aspects of logarithmic conformal field theories (LCFTs) which can be inferred from the characters of irreducible submodules of indecomposable modules. We will mainly consider the W(2, 2p - 1, 2p - 1, 2p ? 1) series of triplet algebras and a bit logarithmic extensions of the minimal Virasoro models. Since in all known examples of LCFTs the vacuum representation of the maximally extended chiral symmetry algebra is an irreducible submodule of a larger, indecomposable module, its character provides a lot of non-trivial information about the theory such as a set of functions which spans the space of all torus amplitudes. Despite such characters being modular forms of inhomogeneous weight, they fit in the ADET-classification of fermionic sum representations. Thus, they show that LCFTs naturally have to be taken into account when attempting to classify rational conformal field theories.

ASJC Scopus Sachgebiete

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What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT. / Flohr, Michael; Koehn, Michael.
in: Journal of Physics A: Mathematical and Theoretical, Jahrgang 46, Nr. 49, 494007, 13.12.2013.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Flohr M, Koehn M. What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT. Journal of Physics A: Mathematical and Theoretical. 2013 Dez 13;46(49):494007. Epub 2013 Nov 20. doi: 10.48550/arXiv.1307.5844, 10.1088/1751-8113/46/49/494007
Flohr, Michael ; Koehn, Michael. / What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT. in: Journal of Physics A: Mathematical and Theoretical. 2013 ; Jahrgang 46, Nr. 49.
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