TY - JOUR
T1 - Modular Data for the Extended Haagerup Subfactor
AU - Gannon, Terry
AU - Morrison, Scott
N1 - Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany.
PY - 2017/12/1
Y1 - 2017/12/1
N2 - We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [BMPS12]. The full structure (i.e., the associativity data, also known as 6-j symbols or F matrices) still appears to be inaccessible. Nevertheless, starting with just the number of simple objects and their dimensions (obtained by a combinatorial argument in [MW14]) we find that it is surprisingly easy to leverage knowledge of the representation theory of SL(2 , Z) into a complete description of the modular data. We also investigate the possible character vectors associated with this modular data. This is the published version of arXiv:1606.07165.
AB - We compute the modular data (that is, the S and T matrices) for the centre of the extended Haagerup subfactor [BMPS12]. The full structure (i.e., the associativity data, also known as 6-j symbols or F matrices) still appears to be inaccessible. Nevertheless, starting with just the number of simple objects and their dimensions (obtained by a combinatorial argument in [MW14]) we find that it is surprisingly easy to leverage knowledge of the representation theory of SL(2 , Z) into a complete description of the modular data. We also investigate the possible character vectors associated with this modular data. This is the published version of arXiv:1606.07165.
UR - http://www.scopus.com/inward/record.url?scp=85030151877&partnerID=8YFLogxK
U2 - 10.1007/s00220-017-3003-x
DO - 10.1007/s00220-017-3003-x
M3 - Article
SN - 0010-3616
VL - 356
SP - 981
EP - 1015
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 3
ER -