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Modular transformations and Verlinde formulae for logarithmic (p +, p -)-models

Ridout, David; Wood, Simon

Description

The (p +, p -) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1-6(p+-p-)2/p+p- and a single Virasoro primary field of conformal weight (2p + - 1)(2p - - 1). Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analogue of the Verlinde formula to obtain the "fusion rules" of the singlet modules. The effect of...[Show more]

dc.contributor.authorRidout, David
dc.contributor.authorWood, Simon
dc.date.accessioned2015-12-13T22:17:43Z
dc.identifier.issn0550-3213
dc.identifier.urihttp://hdl.handle.net/1885/71282
dc.description.abstractThe (p +, p -) singlet algebra is a vertex operator algebra that is strongly generated by a Virasoro field of central charge 1-6(p+-p-)2/p+p- and a single Virasoro primary field of conformal weight (2p + - 1)(2p - - 1). Here, the modular properties of the characters of the uncountably many simple modules of each singlet algebra are investigated and the results used as the input to a continuous analogue of the Verlinde formula to obtain the "fusion rules" of the singlet modules. The effect of the failure of fusion to be exact in general is studied at the level of Verlinde products and the rules derived are lifted to the (p +, p -) triplet algebras by regarding these algebras as simple current extensions of their singlet cousins. The result is a relatively effortless derivation of the triplet "fusion rules" that agrees with those previously proposed in the literature.
dc.publisherElsevier
dc.sourceNuclear Physics B
dc.titleModular transformations and Verlinde formulae for logarithmic (p +, p -)-models
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume880
dc.date.issued2014
local.identifier.absfor010501 - Algebraic Structures in Mathematical Physics
local.identifier.absfor010505 - Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
local.identifier.ariespublicationU3488905xPUB2642
local.type.statusPublished Version
local.contributor.affiliationRidout, David, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWood, Simon, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage175
local.bibliographicCitation.lastpage202
local.identifier.doi10.1016/j.nuclphysb.2014.01.010
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2015-12-11T07:36:00Z
local.identifier.scopusID2-s2.0-84893199422
CollectionsANU Research Publications

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