Abstract

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 probeNf 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 AdS3×S3 with vanishing RR fields.

Highlights

  • 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

  • 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 AdS3 × S3 with vanishing RR

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Summary

Overview and motivation

AdS5 × S5 superstrings are known to be classically integrable for a long period of time [1,2,3,4,5,6]. Roychowdhury / Physics Letters B 778 (2018) 167–173 global (diagonal) U (1) ⊂ U (N f ) operator and an associated chemical potential (μ) for the dual quantum liquid at strong coupling At this stage, it is worth pointing out that in the present analysis we model only massless charged carriers in the dual gauge theory and we leave the corresponding scenario associated with the massive charge carriers for the purpose of future analysis.

The background
Retarded correlators
Summary and final remarks

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