Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions
Fuchs, Jurgen ; Runkel, Ingo ; Schweigert, Christoph
arXiv, 0511590 / Harvested from arXiv
Text on arXiv
A Morita class of symmetric special Frobenius algebras A in the modular tensor category of a chiral CFT determines a full CFT on oriented world sheets. For unoriented world sheets, A must in addition possess a reversion, i.e. an isomorphism from A^opp to A squaring to the twist. Any two reversions of an algebra A differ by an element of the group Aut(A) of algebra automorphisms of A. We establish a group homomorphism from Aut(A) to the Picard group of the bimodule category C_AA, with kernel consisting of the inner automorphisms, and we refine Morita equivalence to an equivalence relation between algebras with reversion.
Publié le : 2005-11-23
Classification:  Mathematics - Category Theory,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Quantum Algebra,  81T40,18D10,18D35,81T45 
@article{0511590,
     author = {Fuchs, Jurgen and Runkel, Ingo and Schweigert, Christoph},
     title = {Ribbon categories and (unoriented) CFT: Frobenius algebras,
  automorphisms, reversions},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511590}
}

Fuchs, Jurgen; Runkel, Ingo; Schweigert, Christoph. Ribbon categories and (unoriented) CFT: Frobenius algebras,
  automorphisms, reversions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511590/