Bosonic ghosts at c = 2 as a logarithmic CFT

Ridout, David and Wood, Simon ORCID: https://orcid.org/0000-0002-8257-0378 2015. Bosonic ghosts at c = 2 as a logarithmic CFT. Letters in Mathematical Physics 105 , pp. 279-307. 10.1007/s11005-014-0740-z

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Abstract

Motivated by Wakimoto free field realisations, the bosonic ghost system of central charge c = 2 is studied using a recently proposed formalism for logarithmic conformal field theories. This formalism addresses the modular properties of the theory with the aim being to determine the (Grothendieck) fusion coefficients from a variant of the Verlinde formula. The key insight, in the case of bosonic ghosts, is to introduce a family of parabolic Verma modules which dominate the spectrum of the theory. The results include S-transformation formulae for characters, non-negative integer Verlinde coefficients, and a family of modular invariant partition functions. The logarithmic nature of the corresponding ghost theories is explicitly verified using the Nahm–Gaberdiel–Kausch fusion algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0377-9017
Date of First Compliant Deposit:	6 December 2016
Date of Acceptance:	22 November 2014
Last Modified:	02 Nov 2022 09:53
URI:	https://orca.cardiff.ac.uk/id/eprint/96667

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