Light-like big bang singularities in string and matrix theories

Craps, Ben; Evnin, Oleg

doi:10.1088/0264-9381/28/20/204006

Cited by 15 publications

(17 citation statements)

References 80 publications

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“…* chethan@cts.iisc.ernet.in † sroy@het.brown.edu 1 See [3] for reviews. 2 But see [9,10,11] for some progress in understanding light-like singularities in pp-waves and plane wave backgrounds using M(atrix)-theory [12].3 The latter in the AdS context is the so-called hs[λ] theory, and has been conjectured to be dual to minimal model CFTs in two dimensions [15,16]. 4 This specific choice of gauge group corresponds to a positive cosmological constant Λ > 0, which is our…”

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confidence: 99%

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Higher spin resolution of a toy big bang

Krishnan

Roy

2013

Phys. Rev. D

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Diffeomorphisms preserve spacetime singularities, whereas higher spin symmetries need not. Since three dimensional de Sitter space has quotients that have big-bang/big-crunch singularities and since dS 3 -gravity can be written as an SL(2, C) Chern-Simons theory, we investigate SL(3, C) Chern-Simons theory as a higher-spin context in which these singularities might get resolved. As in the case of higher spin black holes in AdS 3 , the solutions are invariantly characterized by their holonomies. We show that the dS 3 quotient singularity can be de-singularized by an SL(3, C) gauge transformation that preserves the holonomy: this is a higher spin resolution the cosmological singularity. Our work deals exclusively with the bulk theory, and is independent of the subtleties involved in defining a CFT 2 dual to dS 3 in the sense of dS/CFT.

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Higher spin resolution of a toy big bang

Krishnan

Roy

2013

Phys. Rev. D

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“…This is not necessarily a bad thing. In the original heterotic string frame, the effective space-time Newton constant, 54) JHEP08 (2014)066 is still finite or decreasing at large |y|. Gravity is therefore a good description at large |y|, although heterotic string perturbation theory is not useful.…”

Section: Jhep08(2014)066mentioning

confidence: 99%

“…Later examples are of the matrix big bang flavor [49][50][51][52][53][54] for which the space-time cosmology involves null-time-dependence, but the matrix model involves a field theory with time-dependent parameters. Field theories with spacetime-dependent parameters exhibit interesting phenomena not seen in their Lorentz invariant counterparts; see, for example [55][56][57][58].…”

Section: Jhep08(2014)066mentioning

confidence: 99%

Domain walls, triples and acceleration

Maxfield

Sethi

2014

J. High Energ. Phys.

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We present a construction of domain walls in string theory. The domain walls can bridge both Minkowski and AdS string vacua. A key ingredient in the construction are novel classical Yang-Mills configurations, including instantons, which interpolate between toroidal Yang-Mills vacua. Our construction provides a concrete framework for the study of inflating metrics in string theory. In some cases, the accelerating space-time comes with a holographic description. The general form of the holographic dual is a field theory with parameters that vary over space-time.

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“…There is a rich history of string theory explorations of such singularities [1,2]. We have focused on describing certain timedependent deformations of AdS/CFT [3,4,5,6], where the bulk gravity theory develops a cosmological singularity, and breaks down while the holographic dual field theory, a sensible Hamiltonian quantum system typically subjected to a time-dependent gauge coupling, can potentially be addressed in the vicinity of the singularity.…”

Section: Cosmological Singularities and Ads/cftmentioning

confidence: 99%

Cosmological singularities, AdS/CFT and de Sitter deformations

Narayan

2014

J. Phys.: Conf. Ser.

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Abstract.We have reviewed aspects of certain time-dependent deformations of AdS/CF T , containing cosmological singularities and their gauge theory duals. Towards understanding these solutions better, we have explored similar singular deformations of de Sitter space and argued that these solutions are constrained, possibly corresponding to specific initial conditions. Cosmological singularities and AdS/CFTGeneral relativity breaks down at cosmological singularities, with curvatures and tidal forces typically diverging: notions of spacetime, thus, break down. There is a rich history of string theory explorations of such singularities [1,2]. We have focused on describing certain timedependent deformations of AdS/CFT [3,4,5,6], where the bulk gravity theory develops a cosmological singularity, and breaks down while the holographic dual field theory, a sensible Hamiltonian quantum system typically subjected to a time-dependent gauge coupling, can potentially be addressed in the vicinity of the singularity. The bulk string theory on AdS 5 × S 5 (in Poincare slicing) with constant dilaton (scalar) is deformed to:withg μν , Φ functions of x μ alone (Φ = Φ(t) or Φ(x + ) then gives time-dependence). This is a solution ifRthese include, e.g., AdS-Kasner, FRW, BKL (based on the Bianchi classification), etc. In many cases, it is possible to find new coordinates such that the boundary metric ds 2 4 = lim z→0 z 2 ds 2 5 is flat at least as an expansion about z = 0. This suggests that the dual is the N =4 super Yang-Mills theory with the gauge coupling g 2 Y M = e Φ , deformed to have external time-dependence. It is useful to focus on sources approaching e Φ → 0 at some finite point in time: For instance, a coupling of the form g 2 Y M → t p , p > 0, gives rise to R tt ∼ 1 2Φ 2 ∼ 1 t 2 , i.e., a bulk singularity with curvatures and tidal forces diverging near t = 0. Analyzing the gauge theory is possible in some cases. While at first sight, one might imagine that the dual in such cases to be weakly coupled, this is not the case and interactions are important in general [6]. For instance, the gauge kinetic termsT rF 2 can be transformed

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Light-like big bang singularities in string and matrix theories

Cited by 15 publications

References 80 publications

Higher spin resolution of a toy big bang

Higher spin resolution of a toy big bang

Domain walls, triples and acceleration

Cosmological singularities, AdS/CFT and de Sitter deformations

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