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...he r.h.s. is due to stretching of the string in the x direction. The second provides a constant shift proportional to k. The derivation of equation (3.16) is very similar to that of equation (5.2) in =-=[27]-=-. For comparison, 5 the mass of the open string tachyon in flat spacetime with constant dilaton is (2α ′ mT) 2 ( ∆x = π ) 2 − 2l 2 s . (3.17) Equation (3.16) implies that for ∆x < πl, the open string ...

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...radius. 2 In other words, the radius changing operator is not an N = 2 primary. For 2 The stability of the linear dilaton background away from the supersymmetric radius has been recently discussed in =-=[18]-=-.– 16 – the (2n+2)-dimensional superstrings we can construct 2 n+2 candidates for space-time supercurrents in the − 1 2 picture q ∼ e φ i − + 2 2(±H±H 1 ±...±Hn±Qx) , (3.7) with the usual bosonizatio...

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... In particular, can the system have instabilities which are not visible in the bulk but are supported entirely in the strong coupling region? Examples of such instabilities were recently discussed in =-=[46]-=-. However, the ability to turn on the deformation (2.4) suggests that this is not the case. As we commented above, this deformation prevents the strings from penetrating into the strong coupling regio...

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...tric background 2 since it does not commute with the spacetime supercharges (2.15). 2 Interesting applications of that mechanism of supersymmetry breaking in non-critical superstrings can be found in =-=[9, 10, 11]-=-. 11Let us now check that the above argument, based on R-charge neutrality, does not miss any solutions. This can be done by examining explicitly some terms of the OPE of G 3 (z) with the deforming o...

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...vely, but the other tachyons, namely, tachyons localized in a compact space and bulk tachyons, remain to be understood. Recently, there appear some papers on closed string tachyon condensations [5][6]=-=[7]-=-[8][9][10]. In our previous paper [11], we argued closed string tachyons localized in compact spaces. We related on-shell tachyon condensations to RG flows of two-dimensional gravity theories (two-dim...

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...formed) Narain lattice determine the minima of the one-loop cosmological constant. Constructions with a similar target have been carried out recently also in the context of non-critical string theory =-=[12,13]-=-. Among the various mechanisms for breaking supersymmetry, the Scherk-Schwarz deformation provides an elegant realisation based on compactification[14,15]. In the simplest case of circle compactificat...

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...guration of figure 3. For L < Lcrit it is tachyonic and the bottom of the U-shape tends to run to large φ. The resulting time-dependent solutions can be described using techniques similar to those of =-=[46]-=-, who studied a closed string analog of this problem. The original brane configuration of figure 3 has a U(1) × U(1) symmetry associated with the two Dp-branes. This is a local symmetry on the D-brane...

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... ′ = 1, hence Q 2 = 4/k = 4. In (1.3) S 1 is a boson compactified at the selfdual radius, which is necessary for space-time supersymmetry [6] (for a recent discussion of non-critical superstrings see =-=[7]-=-). To cap the strong coupling region of the linear dilaton theory we introduce the N = 2 Liouville perturbation in IRφ ×S 1 . Equivalently, we modify the geometry (1.3) to IRt × SL(2) U(1) × X (1.4) w...