Modular transformations and Verlinde formulae for logarithmic (p +, p -)-models
| dc.contributor.author | Ridout, David | |
| dc.contributor.author | Wood, Simon | |
| dc.date.accessioned | 2015-12-13T22:17:43Z | |
| dc.date.issued | 2014 | |
| dc.date.updated | 2015-12-11T07:36:00Z | |
| dc.description.abstract | 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 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.identifier.issn | 0550-3213 | |
| dc.identifier.uri | http://hdl.handle.net/1885/71282 | |
| dc.publisher | Elsevier | |
| dc.source | Nuclear Physics B | |
| dc.title | Modular transformations and Verlinde formulae for logarithmic (p +, p -)-models | |
| dc.type | Journal article | |
| local.bibliographicCitation.issue | 1 | |
| local.bibliographicCitation.lastpage | 202 | |
| local.bibliographicCitation.startpage | 175 | |
| local.contributor.affiliation | Ridout, David, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.affiliation | Wood, Simon, College of Physical and Mathematical Sciences, ANU | |
| local.contributor.authoremail | u4951392@anu.edu.au | |
| local.contributor.authoruid | Ridout, David, u4951392 | |
| local.contributor.authoruid | Wood, Simon, u5501679 | |
| local.description.embargo | 2037-12-31 | |
| local.description.notes | Imported from ARIES | |
| local.identifier.absfor | 010501 - Algebraic Structures in Mathematical Physics | |
| local.identifier.absfor | 010505 - Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory | |
| local.identifier.absseo | 970101 - Expanding Knowledge in the Mathematical Sciences | |
| local.identifier.absseo | 970102 - Expanding Knowledge in the Physical Sciences | |
| local.identifier.ariespublication | U3488905xPUB2642 | |
| local.identifier.citationvolume | 880 | |
| local.identifier.doi | 10.1016/j.nuclphysb.2014.01.010 | |
| local.identifier.scopusID | 2-s2.0-84893199422 | |
| local.identifier.uidSubmittedBy | U3488905 | |
| local.type.status | Published Version |