Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

The Verlinde formula in logarithmic CFT

Ridout, David and Wood, Simon 2015. The Verlinde formula in logarithmic CFT. Journal of Physics: Conference Series 597 , 012065. 10.1088/1742-6596/597/1/012065

[img]
Preview
PDF - Published Version
Available under License Creative Commons Attribution.

Download (749kB) | Preview

Abstract

In rational conformal field theory, the Verlinde formula computes the fusion coefficients from the modular S-transformations of the characters of the chiral algebra's representations. Generalising this formula to logarithmic models has proven rather difficult for a variety of reasons. Here, a recently proposed formalism [1] for the modular properties of certain classes of logarithmic theories is reviewed, and refined, using simple examples. A formalism addressing fusion rules in simple current extensions is also reviewed as a means to tackle logarithmic theories to which the proposed modular formalism does not directly apply.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Institute of Physics
ISSN: 1742-6588
Date of First Compliant Deposit: 6 December 2016
Date of Acceptance: 1 January 2015
Last Modified: 04 Jun 2017 09:33
URI: http://orca.cf.ac.uk/id/eprint/96666

Citation Data

Cited 11 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics