Abstract:We investigate closed string tachyon condensation in Misner space, a toy model for big bang universe. In Misner space, we are able to condense tachyonic modes of closed strings in the twisted sectors, which is supposed to remove the big bang singularity. In order to examine this, we utilize D-instanton as a probe. First, we study general properties of D-instanton by constructing boundary state and effective action. Then, resorting to these, we are able to show that tachyon condensation actually deforms the geo… Show more
“…A simple example of the bulk tachyon condensation in bosonic string (or type 0 string) has been proposed to be described by the time-like Liouville theory [25] [26] (see e.g. [27][28][29] [24][30] [31][5] [32] for a partial list of further progresses). However, this theory has not been completely understood, especially because the continuation from the Euclidean theory is not straightforward; there is a potential ambiguity with respect to the choice of vacua in a time-dependent background.…”
We study the conjectured connection between AdS bubbles (AdS solitons) and closed string tachyon condensations. We confirm that the entanglement entropy, which measures the degree of freedom, decreases under the tachyon condensation. The entropies in supergravity and free Yang-Mills agree with each other remarkably. Next we consider the tachyon condensation on the AdS twisted circle and argue that its endpoint is given by the twisted AdS bubble, defined by the double Wick rotation of rotating black 3-brane solutions. We calculated the Casimir energy and entropy and checked the agreements between the gauge and gravity results. Finally we show an infinite boost of a null linear dilaton theory with a tachyon wall (or bubble), leads to a solvable time-dependent background with a bulk tachyon condensation. This is the simplest example of spacetimes with null boundaries in string theory.
“…A simple example of the bulk tachyon condensation in bosonic string (or type 0 string) has been proposed to be described by the time-like Liouville theory [25] [26] (see e.g. [27][28][29] [24][30] [31][5] [32] for a partial list of further progresses). However, this theory has not been completely understood, especially because the continuation from the Euclidean theory is not straightforward; there is a potential ambiguity with respect to the choice of vacua in a time-dependent background.…”
We study the conjectured connection between AdS bubbles (AdS solitons) and closed string tachyon condensations. We confirm that the entanglement entropy, which measures the degree of freedom, decreases under the tachyon condensation. The entropies in supergravity and free Yang-Mills agree with each other remarkably. Next we consider the tachyon condensation on the AdS twisted circle and argue that its endpoint is given by the twisted AdS bubble, defined by the double Wick rotation of rotating black 3-brane solutions. We calculated the Casimir energy and entropy and checked the agreements between the gauge and gravity results. Finally we show an infinite boost of a null linear dilaton theory with a tachyon wall (or bubble), leads to a solvable time-dependent background with a bulk tachyon condensation. This is the simplest example of spacetimes with null boundaries in string theory.
“…Some previous attempts at studying time dependent phenomena pertaining to cosmological singularities in string theory include e.g. [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31].…”
We construct a family of solutions in IIB supergravity theory. These are time dependent or depend on a light-like coordinate and can be thought of as deformations of AdS 5 × S 5 . Several of the solutions have singularities. The light-like solutions preserve 8 supersymmetries. We argue that these solutions are dual to the N = 4 gauge theory in a 3 + 1 dimensional spacetime with a metric and a gauge coupling that is varying with time or the light-like direction respectively. This identification allows us to map the question of singularity resolution to the dual gauge theory.
“…This technique has also been used for the variation of the Milne orbifold with localized closed string tachyons. However, the analysis is subtle and two groups arrive at contradictory conclusions as to whether the big bang region is connected to a big crunch region after tachyon condensation [47,48]. …”
Section: Can Winding Modes Resolve the Singularity?mentioning
These proceedings are based on lectures delivered at the "RTN Winter School on Strings, Supergravity and Gauge Theories", CERN, January 16 -January 20, 2006. The school was mainly aimed at Ph.D. students and young postdocs. The lectures start with a brief introduction to spacetime singularities and the string theory resolution of certain static singularities. Then they discuss attempts to resolve cosmological singularities in string theory, mainly focusing on two specific examples: the Milne orbifold and the matrix big bang.
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