Abstract:We compute the one-loop effective action of two D0-branes in the matrix model for a cosmological background, and find vanishing static potential. However, there is a nonvanishing v 2 term not predicted in a supergravity calculation. This term is complex and signals an instability of the two D0-brane system, it may also indicate that the matrix model is incorrect.
Dec. 2005
“…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.
“…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.
“…In the absence of pp waves this indeed happens [83,84] and one would expect that the same would be true in the presence of pp waves. However, as found in [83,84] and emphasized in [84] the potential vanishes at early times (as expected) as well as at late times. This suggests that standard perturbative string physics is indeed recovered at late times.…”
Section: Particle Production and Initial Statesmentioning
We construct Matrix Membrane theory in pp wave backgrounds that have a null linear dilaton in Type IIB string theory. Such backgrounds can serve as toy models of big bang cosmologies. At late times only abelian degrees of freedom survive, and if the Kaluza-Klein modes along one of the directions of the membrane decouple, standard perturbative strings emerge. Near the "big bang", non-abelian configurations of fuzzy ellipsoids are present, as in the Type IIA theories. A generic configuration of these shrink to zero volume at late times. However, the Kaluza Klein modes (which can be thought of as states of (p, q) strings in the original IIB theory) can be generically produced in pairs in both pp wave and flat backgrounds in the presence of time dependence. Indeed, if we require that at late times the theory evolves to the perturbative string vacuum, these modes must be prepared in a squeezed state with a thermal distribution at early times.
“…One of the consequences of this is that a potential for the fields X a could be generated which spoils the interpretation in terms of space-time coordinates. This issue has been investigated in [29] and [30]. Indeed there is a potential at one loop.…”
Section: Issuesmentioning
confidence: 99%
“…7 See [40] for an interesting approach to find signatures of space-like singularities inside AdS black holes in the CFT The equations of motion (30) then require that the dilaton is also a function of x + alone. The dilaton equation (31) is automatically satisfied, while (30) simplifies to…”
Section: The Supergravity Background and The Conjecturementioning
Certain null singularities in ten dimensional supergravity have natural holographic duals in terms of Matrix Theory and generalizations of the AdS/CFT correspondence. In many situations the holographic duals appear to be well defined in regions where the supergravity develops singularities. We describe some recent progress in this area.
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