A note on transitive flows

Lawrence, Deborah A.; Thomas, Edward S.

doi:10.1017/s0143385700008403

Cited by 4 publications

(8 citation statements)

References 5 publications

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“…An extremely interesting question concerns the existence and behavior of scattering amplitudes for processes where particles "pass through" the singularity. This is the situation studied in [4,6,7,8,9,10,11,12,13,14,32]. The conclusion of this work, [8] in particular, is that such scattering amplitudes are badly behaved in string perturbation theory.…”

Section: Defining Scattering Through the Singularitymentioning

confidence: 70%

“…In the examples of cosmological singularities constructed as time dependent orbifolds of Minkowski space, the work of [8] showed that tree level amplitudes diverge, due to infinite blueshifts at the singularities. References [13,14] discussed the physical meaning of these results and argued that in general nonperturbative phenomena should be expected around such points.…”

Section: Introductionmentioning

confidence: 99%

“…The tree level LMS amplitudes[8] have singularities only at complex codimension one, but higher orders are expected to be generically singular[13,14].…”

mentioning

confidence: 99%

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Inside the horizon with AdS/CFT

2003

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Using the eternal BTZ black hole as a concrete example, we show how spacelike singularities and horizons can be described in terms of AdS/CFT amplitudes. Our approach is based on analytically continuing amplitudes defined in a Euclidean signature. This procedure yields finite Lorentzian amplitudes. The naive divergences associated with the Milne type singularity of BTZ black holes are regulated by an i⑀ prescription inherent in the analytic continuation and a cancellation between future and past singularities. The boundary description corresponds to a tensor product of two CFTs in an entangled state, as in previous work. We give two bulk descriptions corresponding to two different analytic continuations. In the first, only regions outside the horizon appear explicitly, and so amplitudes are manifestly finite. In the second, regions behind the horizon and on both sides of the singularity appear, thus yielding finite amplitudes for virtual particles propagating through the black hole singularity. This equivalence between descriptions only outside and both inside and outside the horizon is reminiscent of the ideas of black hole complementarity.

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Section: Defining Scattering Through the Singularitymentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

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Inside the horizon with AdS/CFT

2003

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“…This is what happens here too. From (5.34), the frequencies are 35) which are just the expected Matsubara frequencies. 6 Note also that…”

Section: Two-point Functionsmentioning

confidence: 81%

Strings in the Extended BTZ Spacetime

Hemming¹,

Keski-Vakkuri²,

Kraus³

2002

J. High Energy Phys.

125

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We study string theory on the extended spacetime of the BTZ black hole, as described by an orbifold of the SL(2,R) WZW model. The full spacetime has an infinite number of disconnected boundary components, each corresponding to a dual CFT. We discuss the computation of bulk and boundary correlation functions for operators inserted on different components. String theory correlation functions are obtained by analytic continuation from an orbifold of the SL(2,C)/SU(2) coset model. This yields two-point functions for general operators, including those describing strings that wind around the horizon of the black hole.

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“…Next, we focussed on the massless BTZ black hole background, because of its simplicity, supersymmetry, its connection to pure AdS 3 , and its relation to recent attempts to study cosmological backgrounds in string theory (see e.g. [32][46] [47][48] [49] for references closest to our work). By taking the global structure of the space properly into account, and using a classical analysis of wound strings, we argued that the proposal for a ghost free spectrum of [38] finds a natural interpretation as pertaining to strings on the massless black hole background.…”

Section: Discussionmentioning

confidence: 99%

Winding strings andAdS₃black holes

Troost¹

2002

J. High Energy Phys.

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We start a systematic study of string theory in AdS 3 black hole backgrounds. Firstly, we analyse in detail the geodesic structure of the BTZ black hole, including spacelike geodesics. Secondly, we study the spectrum for massive and massless scalar fields, paying particular attention to the connection between Sl(2, R) subgroups, the theory of special functions and global properties of the BTZ black holes. We construct classical strings that wind the black holes. Finally, we apply the general formalism to the vacuum black hole background, and formulate the boundary spacetime Virasoro algebra in terms of worldsheet operators. We moreover establish the link between a proposal for a ghost free spectrum for Sl(2, R) string propagation and the massless black hole background, thereby claryfing aspects of the AdS 3 /CF T correspondence.

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A note on transitive flows

Cited by 4 publications

References 5 publications

Inside the horizon with AdS/CFT

Inside the horizon with AdS/CFT

Strings in the Extended BTZ Spacetime

Winding strings andAdS₃black holes

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A note on transitive flows

Cited by 4 publications

References 5 publications

Inside the horizon with AdS/CFT

Inside the horizon with AdS/CFT

Strings in the Extended BTZ Spacetime

Winding strings andAdS3black holes

Contact Info

Product

Resources

About

Winding strings andAdS₃black holes