Modular invariance of SU (1,1) strings

Henningson, Måns; Hwang, Stephen; Roberts, Patrick; Sundborg, Bo

doi:10.1016/0370-2693(91)90944-l

Cited by 90 publications

(131 citation statements)

References 12 publications

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“…However, progress was delayed by an incomplete understanding of the underlying SL(2,R) WZW model: an ad hoc cutoff on the spectrum seemed to be needed for unitarity. It is now known [6] that instead of imposing a cutoff one should include long strings and spectral flowed states in the spectrum (see also [7,8]), and that the resulting theory is unitary. In light of this new understanding, [9] elaborated on the earlier work [4] on the string spectrum in BTZ and interpreted it in the context of spectral flow.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

Strings in the Extended BTZ Spacetime

Hemming¹,

Keski-Vakkuri²,

Kraus³

2002

J. High Energy Phys.

125

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“…(4.11) 12 The significance of spectral flow was first noticed in [62] based on modular invariance arguments.…”

Section: Spectral Flowmentioning

confidence: 99%

The plane-wave limit of AdS3×S3×S3×S1

Dei

Gaberdiel

Sfondrini

2018

J. High Energ. Phys.

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The plane-wave limit of AdS 3 ×S 3 ×S 3 ×S 1 is analysed for generic null-geodesics that are not necessarily BPS. For the case of pure NS-NS flux it is shown how the resulting spectrum can be reproduced as a suitable limit of the world-sheet description in terms of WZW models. Since supersymmetry is broken, most of the degeneracies are lifted, and thus the identification of states is quite unambiguous.

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“…In this section, we construct the characters of the SL(2, R)/U(1) Kazama-Suzuki model by summing up the new sectors [13][14][15]. This character is used to construct "noncompact Gepner models" in the next section.…”

Section: Sl(2 R)/u(1) Kazama-suzuki Modelmentioning

confidence: 99%

“…We use, in this paper, the one proposed in [13][14][15]. It includes the new sectors obtained by "spectral flow" transformation -a series of automorphisms of the affine SL(2, R).…”

Section: Introductionmentioning

confidence: 99%

Noncompact Gepner models with discrete spectra

Yamaguchi

2001

Physics Letters B

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We investigate a noncompact Gepner model, which is composed of a number of SL(2, R)/U(1) Kazama-Suzuki models and N = 2 minimal models. The SL(2, R)/U(1) Kazama-Suzuki model contains the discrete series among the SL(2, R) unitary representations as well as the continuous series. We claim that the discrete series contain the vanishing cohomology and the vanishing cycles of the associated noncompact Calabi-Yau manifold. We calculate the Elliptic genus and the open string Witten indices. In the A N −1 ALE models, they actually agree with the vanishing cohomology and the intersection form of the vanishing cycles.

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Modular invariance of SU (1,1) strings

Cited by 90 publications

References 12 publications

Strings in the Extended BTZ Spacetime

Strings in the Extended BTZ Spacetime

The plane-wave limit of AdS3×S3×S3×S1

Noncompact Gepner models with discrete spectra

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