a plot of \[Fnu\] f() =

![The normalised ratio of NS- and R-sector normalisation factors](Determinants5.pdf)

This function monotonically increases from the value $2^{-1/4}\approx 0.84$ to 1. It passes the value $0.9$ around $\nu=3.5$ and the value $0.99$ around $\nu = 40$.

The interface operator can be alternatively described in terms of a local gluing condition at $y=0$: (x,0)=(x,0) , |(x,0)=|(x,0) . This description is manifestly local in the $x$-direction.

RG flows and the corresponding conformal boundary conditions
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In the decompactification limit $\nu \to \infty $ all excited states in the spectrum acquire infinite energy above the vacuum. As conformal symmetry is restored we expect the vacuum states of the infinitely massive theory to be described as conformal boundary states in the massless theory ${\cal H}_{0}$.

For $m>0$ the system is in the low temperature ordered phase. As $m$ goes to plus infinity the vacuum becomes doubly degenerate. This happens exponentially fast in $\nu$. More precisely the difference of vacuum energies in the NS- and R- sectors is e (E\_[0([R]{})]{} - E\_[0([NS]{})]{} ) = \_[-]{}\^ () that for $\nu\to \infty$ behaves as e \~\^[-3/2]{}e\^[-]{} . At $m = +\infty$ only a two-dimensional vacuum space is left in the spectrum. Using 