Logarithmic Conformal Field Theories and Strings in Changing Backgrounds

I review a particular class of physical applications of Logarithmic Conformal Field Theory in strings propagating in changing (not necessarily conformal) backgrounds, namely D-brane recoil in flat or time-dependent cosmological backgrounds. The role of recoil logarithmic vertex operators as non-conformal deformations, requiring in some cases Liouville dressing, is pointed out. It is also argued that, although in the case of non-supersymmetric recoil deformations the representation of target time as a Liouville zero mode may lead to non-linear quantum mechanics for stringy defects, such non-linearities disappear (or, at least, are strongly suppressed) after world-sheet supersymmetrization. A possible link is therefore suggested between (world-sheet) supersymmetry and linearity of quantum mechanics in this framework.

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