Stringy holography at finite density

Goykhman, Mikhail; Parnachev, Andrei

doi:10.1016/j.nuclphysb.2013.05.011

Cited by 5 publications

(9 citation statements)

References 42 publications

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“…. , (6.27) 31 Notice that the sign of these correlation functions is opposite to the sign of the two-point functions of physical fermions (3.50). This is analogous to having opposite signs of physical and auxiliary bosonic currents (3.42).…”

Section: Jhep08(2022)244mentioning

confidence: 97%

“…with world-sheet control. On the other hand, time-like cosets help us understand dynamics of black holes, scattering in a black hole background, and resolution of cosmological singularities [15,[28][29][30][31][32].…”

Section: Jhep08(2022)244mentioning

confidence: 99%

“…In [31,33] collective excitations of the LST were studied holographically, by analyzing the pole structure of the stress-energy tensor two-point function, described in terms of the graviton scattering amplitudes in the bulk. 1 The latter were calculated exactly, in terms of the two-point correlation functions of vertex operators on the world-sheet, describing massless closed string states in the Neveu-Schwarz-Neveu-Schwarz (NS-NS) sector of the supergravity multiplet.…”

Section: Jhep08(2022)244mentioning

confidence: 99%

“…In particular, the diffusion mode was located, and its existence was independently verified by the supergravity analysis. Additionally, in [31] a finite-density version of this model was considered, by constructing the dual bulk configuration with a non-trivial gauge field profile. Such a background was explicitly demonstrated in [32] to appear in the configuration involving the near-horizon limit of a stack of NS5-branes with a large number of fundamental strings (F1).…”

Section: Jhep08(2022)244mentioning

confidence: 99%

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Solvable time-like cosets and holography beyond AdS

Chakraborty

Goykhman

2022

J. High Energ. Phys.

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We build a novel time-like coset sigma-model describing type-II superstring theory in a charged rotating black-brane background that interpolates between a local AdS3 in the IR and a linear-dilaton geometry in the UV. This allows one to peform a systematic study of holography in non-AdS backgrounds which are smoothly connected to AdS3. We construct massless closed string states vertex operators in the NS-NS sector, calculate the corresponding two-point correlation functions, and discuss holographic interpretation of our results from 4+1 dimensional boundary field theory point of view. Compactifying the theory on 𝕋4, we show that the spectrum of a single long string with unit winding agrees with the spectrum of a CFT2 deformed by $$ T\overline{T} $$ T T ¯ . We also calculate correlation functions of operators of the dual 1+1 dimensional non-conformal boundary field theory using worldsheet techniques.

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Section: Jhep08(2022)244mentioning

confidence: 97%

Section: Jhep08(2022)244mentioning

confidence: 99%

Section: Jhep08(2022)244mentioning

confidence: 99%

Section: Jhep08(2022)244mentioning

confidence: 99%

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Solvable time-like cosets and holography beyond AdS

Chakraborty

Goykhman

2022

J. High Energ. Phys.

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“…coset sigma model had also been studied in [20] in the context of scattering from beyond the singularity of a two-dimensional black hole and in [34] in the context of analyzing the hydrodynamics of some 1 + 1-dimensional quantum systems.…”

Section: Coset Cftmentioning

confidence: 99%

$\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$

Chakraborty

2020

Preprint

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In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model SL(2,R) ii) the full near horizon theory of the NS5 branes with k NS5 branes wrapping T 4 × S 1 , p 1 F1 strings wrapping S 1 and n units of momentum along the S 1 and (iii) the single trace T T deformation of string theory in AdS 3 × S 3 × T 4 . As a check we compute the spectrum of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace T T deformed string theory in AdS 3 . Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.

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$$ \frac{\mathrm{SL}\left(2,\mathrm{\mathbb{R}}\right)\times \mathrm{U}(1)}{\mathrm{U}(1)} $$ CFT, NS5+F1 system and single trace $$ T\overline{T} $$

Chakraborty

2021

J. High Energ. Phys.

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In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $$ \frac{\mathrm{SL}{\left(2,\mathrm{\mathbb{R}}\right)}_k\times \mathrm{U}(1)}{\mathrm{U}(1)} $$ SL 2 ℝ k × U 1 U 1 × S3 × T4 with SL(2, ℝ) WZW level k ≥ 2, (ii) the full near horizon theory of the NS5 branes with k NS5 branes wrapping T4 × S1, p » 1 F1 strings wrapping S1 and n units of momentum along the S1 and (iii) the single trace $$ T\overline{T} $$ T T ¯ deformation of string theory in AdS3 × S3 × T4. As a check we compute the spectrum (continuous) of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace $$ T\overline{T} $$ T T ¯ deformed string theory in AdS3. Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.

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Stringy holography at finite density

Cited by 5 publications

References 42 publications

Solvable time-like cosets and holography beyond AdS

Solvable time-like cosets and holography beyond AdS

$\frac{SL(2,\mathbb{R})\times U(1)}{U(1)}$ CFT, NS5$+$F1 system and single trace $T\bar{T}$

$$ \frac{\mathrm{SL}\left(2,\mathrm{\mathbb{R}}\right)\times \mathrm{U}(1)}{\mathrm{U}(1)} $$ CFT, NS5+F1 system and single trace $$ T\overline{T} $$

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