Abstract
We construct logarithmic conformal field theories starting from an ordinary conformal field theory—with a chiral algebra C and the corresponding space of states V—via a two-step construction: (i) deforming the chiral algebra representation on V⊗End K[[ z, z −1]], where K is an auxiliary finite-dimensional vector space, and (ii) extending C by operators corresponding to the endomorphisms End K. For K= C 2 , with End K being the two-dimensional Clifford algebra, our construction results in extending C by an operator that can be thought of as ∂ −1 E, where ∮ E is a fermionic screening. This covers the (2, p) Virasoro minimal models as well as the sl (2) WZW theory.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.