Correction of typos in sez. 2
Signed-off-by: Riccardo Finotello <riccardo.finotello@gmail.com>
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@@ -349,16 +349,16 @@ One way to deal with them is to introduce the \emph{doubling trick} by gluing th
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Let then $\cU_{(t,\, t+1)} = U_{(t+1)}\, U_{(t)}$ and $\tcU_{(t,\, t+1)} = U_{(\bart)}\, U_{(t)}\, U_{(t+1)}\, U_{(\bart)}$.
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The boundary conditions in terms of the doubling field are:
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\begin{eqnarray}
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\ipd{z} \cX( x_t + e^{2 \pi i}( \eta + i\, 0^+ ) )
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\ipd{z} \cX( x_{(t)} + e^{2 \pi i}( \eta + i\, 0^+ ) )
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& = &
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\cU_{(t,\, t+1)}
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\ipd{z} \cX( x_t + \eta + i\, 0^+ ),
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\cU_{(t,\, t+1)}\,
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\ipd{z} \cX( x_{(t)} + \eta + i\, 0^+ ),
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\label{eq:top_monodromy}
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\\
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\partial \cX( x_t + e^{2 \pi i}( \eta - i\, 0^+ ) )
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\ipd{z} \cX( x_{(t)} + e^{2 \pi i}( \eta - i\, 0^+ ) )
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& = &
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\tcU_{(t,\, t+1)}
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\ipd{z} \cX( x_t + \eta - i\, 0^+ ),
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\tcU_{(t,\, t+1)}\,
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\ipd{z} \cX( x_{(t)} + \eta - i\, 0^+ ),
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\label{eq:bottom_monodromy}
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\end{eqnarray}
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for $0 < \eta < \min\qty( \abs{x_{(t-1)} - x_{(t)}}, \abs{x_{(t)} - x_{(t+1)}} )$ in order to consider only the two adjacent D-branes $D_{(t)}$ and $D_{(t+1)}$.
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