Spectral flow in AdS<sub>3</sub>/CFT<sub>2</sub>

Giribet, Gastón; Pakman, Ari; Rastelli, Leonardo

doi:10.1088/1126-6708/2008/06/013

Cited by 55 publications

(106 citation statements)

References 70 publications

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“…In the R sector the GSO projection can still be satisfied using (if necessary) the action of the fermionic zero modes η 0 andη 0 , while in the NS sector it reads [7,63] …”

Section: Jhep08(2018)097mentioning

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 the R sector the GSO projection can still be satisfied using (if necessary) the action of the fermionic zero modes η 0 andη 0 , while in the NS sector it reads [7,63] …”

Section: Jhep08(2018)097mentioning

confidence: 99%

The plane-wave limit of AdS3×S3×S3×S1

Dei

Gaberdiel

Sfondrini

2018

J. High Energ. Phys.

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“…This theory has an instability at the quantum level (a negative mass squared mode in the spectrum), but can be consistently analyzed at the classical level. This case was worked out in detail in [11], the the superstring generalization is discussed further in [12] [14]. The essential physics of interest can be understood in either case: at the semiclassical level one finds singularities in correlation functions at finite T 4 momentum which are accounted for by string configurations that stretch out toward the boundary at zero cost in energy; this effect is common to the bosonic and fermionic strings.…”

Section: Operatorsmentioning

confidence: 99%

Large-density field theory, viscosity and ‘2 k _F ’ singularities from string duals

Polchinski

Silverstein

2012

Class. Quantum Grav.

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We analyze systems where an effective large-N expansion arises naturally in gauge theories without a large number of colors: a sufficiently large charge density alone can produce a perturbative string ('tHooft) expansion. One example is simply the well-known NS5/F1 system dual to AdS 3 ×T 4 ×S 3 , here viewed as a 5+1 dimensional theory at finite density. This model is completely stable, and we find that the existing string-theoretic solution of this model yields two interesting results. First, it indicates that the shear viscosity is not corrected by α ′ effects in this system. For flow perpendicular to the F1 strings the viscosity to entropy ratio take the usual value 1/4π, but for flow parallel to the F1's it vanishes as T 2 at low temperature. Secondly, it encodes singularities in correlation functions coming from low-frequency modes at a finite value of the momentum along the T 4 directions. This may provide a strong coupling analogue of finite density condensed matter systems for which fermionic constituents of larger operators contribute so-called "2k F " singularities. In the NS5/F1 example, stretched strings on the gravity side play the role of these composite operators. We explore the analogue for our system of the Luttinger relation between charge density and the volume bounded by these singular surfaces. This model provides a clean example where the string-theoretic UV completion of the gravity dual to a finite density field theory plays a significant and calculable role.

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“…4 WZW model [20][21][22][23][24]. The deformation we'll study acts only on an SU (2) × U (1) factor of the WZW model:…”

Section: Setup and Sugra Analysismentioning

confidence: 99%

“…The situation in this case is simpler than for warped AdS 3 , particularly because the spectral flow in SU (2) WZW theories is an inner automorphism, so it won't mix representations (for example, see [22]). Following [6], deforming the theory by a spacelike current results in a Lorentzian rotation of the charge lattice defining primary operators.…”

Section: Setup and Sugra Analysismentioning

confidence: 99%

SUSY enhancements in (0, 4) deformations of AdS3/CFT2

Detournay

Lapan

Romo

2012

J. High Energ. Phys.

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We discuss a marginal deformation of the SL(2, R) × SU (2) × U (1) 4 WZW model, which describes string theory on AdS3 × S 3 × T 4 , that corresponds to warping the S 3 factor. This deformation breaks part of the N = (4, 4) supersymmetry of the undeformed dual CFT to N = (0, 4) supersymmetry. In the spirit of work by Giveon, Kutasov, and Seiberg, we construct the asymptotic spacetime symmetry algebra from worldsheet operators and find a restoration of (4, 4) supersymmetry at discrete values of the deformation parameter. We explain this result from various perspectives: the worldsheet, supergravity, and from the singular D1-D5 CFT. The supergravity analysis includes an asymptotic symmetry computation of the level of the affine SU (2) R-symmetry, which arises purely from B-field contributions.

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Spectral flow in AdS₃/CFT₂

Cited by 55 publications

References 70 publications

The plane-wave limit of AdS3×S3×S3×S1

The plane-wave limit of AdS3×S3×S3×S1

Large-density field theory, viscosity and ‘2 k _F ’ singularities from string duals

SUSY enhancements in (0, 4) deformations of AdS3/CFT2

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Spectral flow in AdS3/CFT2

Cited by 55 publications

References 70 publications

The plane-wave limit of AdS3×S3×S3×S1

The plane-wave limit of AdS3×S3×S3×S1

Large-density field theory, viscosity and ‘2 k F ’ singularities from string duals

SUSY enhancements in (0, 4) deformations of AdS3/CFT2

Contact Info

Product

Resources

About

Spectral flow in AdS₃/CFT₂

Large-density field theory, viscosity and ‘2 k _F ’ singularities from string duals