On circular strings in (AdS3 × S 3)ϰ

Banerjee, Aritra; Panigrahi, Kamal L.

doi:10.1007/jhep09(2016)061

Cited by 13 publications

(6 citation statements)

References 60 publications

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“…Following the approach of [36], our next task would be first to obtain the general solution (valid for arbitrary values of z) corresponding to (28) in the regime of small frequency (wz n ≪ 1) as well as small momentum (qz n ≪ 1) and then consider the large z limit of this solution which finally yields 9 ,…”

Section: Retarded Correlatorsmentioning

confidence: 99%

“…In other words, the retarded correlator we compute is a physical one and is consistent with in-going wave boundary condition. In order to determine these constants we need a matching criteria which is obtained (i) first by expanding (28) into large z and then taking a small frequency expansion and (ii) to solve (28) for small frequency first and then expanding into large z.…”

Section: Retarded Correlatorsmentioning

confidence: 99%

“…Next, we would like to take the small frequency (wz n ≪ 1) as well as the small momentum (qz n ≪ 1) limit of the large z solution [36] corresponding to (28) which finally yields,…”

Section: Retarded Correlatorsmentioning

confidence: 99%

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Probing η deformed backgrounds with Dp branes

Roychowdhury

2018

Physics Letters B

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In this Letter, based on the notion of Gauge/Gravity duality we explore the low frequency behaviour associated with the retarded two point correlators in the ground state of the strongly correlated quantum liquid that is dual to η-deformed background in (2 + 1)D. The massless charge carriers in the dual gauge theory are sourced due to some probe N f flavour Dp brane configurations in the bulk. In our analysis we stick to the NS sector and compute the two point correlators by turning on fluctuations associated with the worldvolume gauge fields in the bulk spacetime. Our analysis reveals the existence of holographic zero sound modes for (1 + 1)D QFTs those are dual to bosonic η deformed AdS 3 × S 3 with vanishing RR fields. *

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Section: Retarded Correlatorsmentioning

confidence: 99%

Section: Retarded Correlatorsmentioning

confidence: 99%

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Probing η deformed backgrounds with Dp branes

Roychowdhury

2018

Physics Letters B

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“…We start our analysis by considering the dynamics of open strings on deformed AdS 3 × S 3 backgrounds that has been recently initiated by the authors in [50]- [51] and then subse-quently explored in many other directions [57]- [58], [61]- [63], [68]. The deformed AdS 3 × S 3 background could be formally expressed as [51],…”

Section: Two Spin Magnons: Preliminariesmentioning

confidence: 99%

Multispin magnons on deformed AdS3×S3

Roychowdhury¹

2017

Phys. Rev. D

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In this paper, using the holographic prescription, we study multispin bound states and their dispersion relations over the κ-deformed AdS 3 × S 3 background. In the first part of our analysis, considering the conformal gauge conditions (associated with the Polyakov action) we explore the dispersion relation associated with spin two bound states at strong coupling. We solve corresponding world-sheet fluctuations and compute all the conserved quantities associated with the stringy dynamics over the deformed background. In the second part of our analysis, we perform similar analysis for spin three configurations. In both cases, we observe the emergence of non trivial background deformation that vanishes in the limit, κ → 0. Overview and MotivationAccording to the celebrated AdS 5 /CF T 4 correspondence [1], the type IIB string theory formulated in AdS 5 × S 5 background is dual to strongly coupled N = 4 SYM in four dimensions. Given this astonishing prescription, one could in fact think of several remarkable implications and/or consequences that naturally emerges out of this duality conjecture. One immediate consequence of this duality conjecture turns out to be the obvious equivalence between the spectrum of stringy excitation in AdS 5 × S 5 to that with the spectrum of operator dimensions in N = 4 SYM theory. In order to test this duality conjecture, one therefore needs to check the full quantum spectrum on both sides of the duality which is undoubtedly a difficult job in itself. However, it turns out that this situations seems to get quite manageable under certain special circumstances namely, in the limit where the number of colors becomes large, N 1. This is the so called planar limit of the duality where one could in principle carry out semi-classical computations on the string theory side in order to compare it with the spectrum of anomalous dimensions corresponding to single trace (gauge invariant) operators on the dual gauge theory side. In other words, the theory becomes integrable on both sides of the duality [2].A remarkable breakthrough along this direction came through the proposal due to Minahan and Zarembo [3] who sort of unveiled an astonishing connection between spin chains and that of the stringy dynamics in AdS 5 × S 5 by identifying the Hamiltonian operator corresponding to the spin chain systems to that with the dilatation operator in * E-mail: dibakarphys@gmail.com, dibarak@post.bgu. One remarkable achievement along this particular direction came through the discovery of the underlying connection between the physics of the spin wave (magnon like) excitation associated with long spin chains to that with certain specific (rotating and pulsating) stringy configurations in AdS 5 × S 5 [17]- [40]. In the following we elaborate on this issue in a bit detail. We consider the limit where one of the conserved charges (J) of the dual SO(6) symmetry becomes infinitely large. This is the so called limit where one considers infinitely long chain of single trace operators on one side of the duality...

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“…The symmetry group SO(2, 4) × SO (6) of Ad S 5 × S 5 reduced to its Cartan subgroup [U (1)] 6 and it produced a nice laboratory to study string motion. Given the integrable nature of the deformed background, various rigidly rotating and pulsating strings have been investigated in detail [26][27][28][29][30][31]. Since the background suffers from the presence of a singularity surface in the AdS space, a new coordinate system to handle this has been developed [32].…”

Section: Introductionmentioning

confidence: 99%

Spinning pulsating strings in $$(AdS_5 \times S^5)_{\varkappa }$$ ( A d S 5 × S 5

2018

Self Cite

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We study a general class of spinning pulsating strings in (Ad S 5 × S 5 ) background. For these family of solitons, we examine the scaling relation between the energy, spin or angular momentum. We verify that in → 0 limit these relations reduce to the undeformed Ad S 5 × S 5 case. We further study an example of a string which is spinning in the -deformed AdS 5 and S 5 simultaneously and find out the scaling relation among various conserved charges.

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On circular strings in (AdS3 × S 3)ϰ

Cited by 13 publications

References 60 publications

Probing η deformed backgrounds with Dp branes

Probing η deformed backgrounds with Dp branes

Multispin magnons on deformed AdS3×S3

Spinning pulsating strings in $$(AdS_5 \times S^5)_{\varkappa }$$ ( A d S 5 × S 5

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