2007
DOI: 10.48550/arxiv.0705.0980
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Charting the landscape of supercritical string theory

Simeon Hellerman,
Ian Swanson
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Cited by 14 publications
(34 citation statements)
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“…Finally, string theories also do not need to be critical; the dimension of the target space can exceed d = 10. There is a whole landscape of supercritical string theories, connected to the more familiar critical landscape [51]. Noncritical string theories do not have conventional time-independent vacuum solutions, but in a cosmological setting, this is not necessarily a problem.…”
Section: Noncriticalmentioning
confidence: 99%
“…Finally, string theories also do not need to be critical; the dimension of the target space can exceed d = 10. There is a whole landscape of supercritical string theories, connected to the more familiar critical landscape [51]. Noncritical string theories do not have conventional time-independent vacuum solutions, but in a cosmological setting, this is not necessarily a problem.…”
Section: Noncriticalmentioning
confidence: 99%
“…It is interesting to compare our findings to the case of closed string tachyon condensation. Purely light-like closed string tachyon solutions are stable against small perturbations of the initial conditions (in the sense that small perturbations of the initial conditions lead to qualitatively similar behaviour at late times) [45,46]. On the other hand, [47] discussed the possibility of qualitative change of the solution under finite changes of the initial conditions.…”
Section: The Island Of Stabilitymentioning
confidence: 99%
“…10 Finally as mentioned before, let us briefly study another possible choice of the analytic continuation: β > 1, where we do not see any initial singularity as T → −∞. In this case, the quantum particle creation (12) depends sensitively on the value of β…”
Section: Large Quantum Back Reactionmentioning
confidence: 83%
“…For example, one may pose a question: since the structure of the higher homotopy group (or homology group) is different between the D-dual pairs (i.e. π n (M h ) = π n (T 2h ) in general), what happens to 1 More general arguments for the dimensional change in supercritical string theories can be found in [9,10,11,12] 2 See e.g. [13] for a recent argument on the relationship between the time-dependence and the renormalization group flow the charges of higher dimensional D-branes?…”
Section: Introductionmentioning
confidence: 99%