Topological defects and generalised orbifolds ... - Nils Carqueville

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L<strong>and</strong>au-Ginzburg models defect fusion: X ⊗ Y , dX⊗Y = dX ⊗ 1 + 1 ⊗ dY invisible defect: IW = (R ⊗ R) ⊕2 , dIW = � 0 � x − y 0 for n = 1, in general: IW = � � �n � (R⊗R)·θi , dIW = i=1 Brunner/Roggenkamp 2007, Kapustin/Rozansky 2004 W (x)−W (y) x−y n� i=1 � (xi −yi)·θ ∗ � i +∂ [i]W ·θi
L<strong>and</strong>au-Ginzburg models defect fusion: X ⊗ Y , dX⊗Y = dX ⊗ 1 + 1 ⊗ dY invisible defect: IW = (R ⊗ R) ⊕2 , dIW = � 0 � x − y 0 for n = 1, in general: IW = � � �n � (R⊗R)·θi , dIW = i=1 Fact. End(IW ) ∼ = R/(∂W ) = bulk space Brunner/Roggenkamp 2007, Kapustin/Rozansky 2004 W (x)−W (y) x−y n� i=1 � (xi −yi)·θ ∗ � i +∂ [i]W ·θi
Page 1 and 2: Topological defects and generalised
Page 3 and 4: Bigger picture Calabi-Yau geometry
Page 13 and 14: Summary 2d TFTs with defects are na
Page 19 and 20: 2d TFTs with defects Worldsheet, pa
Page 21 and 22: 2d TFTs with defects Defect fusion
Page 23 and 24: Diagrammatics in bicategories X X =
Page 33 and 34: Orientation and adjoints I X † X
Page 35 and 36: Orientation and adjoints I X † X
Page 37 and 38: Landau-Ginzburg models theories: po
Page 39 and 40: Landau-Ginzburg models theories: po
Page 41: Landau-Ginzburg models defect fusio
Page 45 and 46: Landau-Ginzburg models I X X defect
Page 47 and 48: First main result Theorem. Landau-G
Page 55 and 56: Applications Defect action on bulk
Page 63 and 64: Open/closed topological field theor
Page 65 and 66: Open/closed TFT from Landau-Ginzbur
Page 67 and 68: Open/closed TFT from Landau-Ginzbur
Page 69 and 70: Applications Theorem. The Cardy con
Page 75 and 76: Generalised orbifolds Theorem. Let
Page 81 and 82: Generalised orbifolds Let B be pivo
Page 91 and 92: Generalised orbifolds Theorem. A =
Page 93 and 94:
Generalised orbifolds Theorem. A =
Page 95 and 96:
Generalised orbifolds Examples. “
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Conclusions “2d TFT with defects
Page 105:
Conclusions “2d TFT with defects
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Topological defects and generalised orbifolds ... - Nils Carqueville

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