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Sökning: L773:0340 6717 OR L773:1432 1203 > Karlstads universitet

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1.
  • Fuchs, Jürgen, 1957-, et al. (författare)
  • Bicategories for boundary conditions and for surface defects in 3-d TFT
  • 2013
  • Ingår i: Communications in Mathematical Physics. - Berlin : Springer. - 0010-3616 .- 1432-0916. ; 321:2, s. 543-575
  • Tidskriftsartikel (refereegranskat)abstract
    • We analyze topological boundary conditions and topological surface defects in three-dimensional topological field theories of Reshetikhin-Turaev type based on arbitrary modular tensor categories. Boundary conditions are described by central functors that lift to trivializations in the Witt group of modular tensor categories. The bicategory of boundary conditions can be described through the bicategory of module categories over any such trivialization. A similar description is obtained for topological surface defects. Using string diagrams for bicategories we also establish a precise relation between special symmetric Frobenius algebras and Wilson lines involving special defects. We compare our results with previous work of Kapustin-Saulina and of Kitaev-Kong on boundary conditions and surface defects in abelian Chern-Simons theories and in Turaev-Viro type TFTs, respectively
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2.
  • Fuchs, Jürgen, et al. (författare)
  • A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories
  • 2014
  • Ingår i: Communications in Mathematical Physics. - : Springer Science and Business Media LLC. - 0010-3616 .- 1432-0916. ; 332, s. 981-1015
  • Tidskriftsartikel (refereegranskat)abstract
    • Dijkgraaf-Witten theories are extended three-dimensional topological field theories of Turaev-Viro type. They can be constructed geometrically from categories of bundles via linearization. Boundaries and surface defects or interfaces in quantum field theories are of interest in various applications and provide structural insight. We perform a geometric study of boundary conditions and surface defects in Dijkgraaf-Witten theories. A crucial tool is the linearization of categories of relative bundles. We present the categories of generalized Wilson lines produced by such a linearization procedure. We establish that they agree with the Wilson line categories that are predicted by the general formalism for boundary conditions and surface defects in three-dimensional topological field theories that has been developed in arXive:1203.4568.
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  • Resultat 1-2 av 2
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tidskriftsartikel (2)
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refereegranskat (2)
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Schweigert, Christop ... (2)
Fuchs, Jürgen, 1957- (1)
Fuchs, Jürgen (1)
Valentino, Alessandr ... (1)
Valentino, Allessand ... (1)
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Karlstads universitet  (2)Ta bort avgränsningen
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Engelska (2)
Forskningsämne (UKÄ/SCB)
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