Topological defects and generalised orbifolds ... - Nils Carqueville
Topological defects and generalised orbifolds ... - Nils Carqueville
Topological defects and generalised orbifolds ... - Nils Carqueville
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L<strong>and</strong>au-Ginzburg models<br />
I<br />
X<br />
defect fusion: X ⊗ Y , dX⊗Y = dX ⊗ 1 + 1 ⊗ dY<br />
invisible defect:<br />
IW = (R ⊗ R) ⊕2 , dIW =<br />
�<br />
0<br />
�<br />
x − y<br />
0<br />
for n = 1, in general:<br />
IW = � � �n<br />
�<br />
(R⊗R)·θi , dIW =<br />
i=1<br />
Fact. End(IW ) ∼ = R/(∂W ) = bulk space<br />
λX<br />
: I ⊗ X<br />
�<br />
X<br />
operator product: matrix multiplication<br />
Brunner/Roggenkamp 2007, Kapustin/Rozansky 2004<br />
� ��<br />
(R ⊗ R) ⊗ X mult. ��<br />
X ,<br />
W (x)−W (y)<br />
x−y<br />
n�<br />
i=1<br />
�<br />
(xi −yi)·θ ∗ �<br />
i +∂ [i]W ·θi<br />
X<br />
ρX : X ⊗ I ��<br />
X<br />
X I
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