Holographic zero sound for $\mathcal{N}=2$ SCFTs in 4d

Abstract

We build up the notion of metallic holography for $\mathcal{N}=2$ SCFTs in four dimensions, in the presence of a finite $U(1)$ chemical potential. We compute two point correlation functions and study their properties in the regime of low frequency and low momentum. The color sector reveals gapless excitations, one of which propagates with a finite phase velocity while the other mode attenuates through scattering. The flavour sector, on the other hand, reveals spectrum that contains quasiparticle excitations which propagate with a definite phase velocity together with modes that propagate with a finite group velocity which quantum attenuates quite similar in spirit as that of Landau's zero sound modes. We also compute associated AC conductivities, which exhibit different characteristics for different (color and flavour) sectors of $\mathcal{N}=2$ SCFTs.

v2, Minor revisions, To Appear in Nuclear Physics B

References in corpus (18)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Metallic AdS/CFT
• On non-abelian T-dual geometries with Ramond fluxes
• Holography for (1,0) theories in six dimensions
• Type IIB Supergravity Solutions with AdS${}_5$ From Abelian and Non-Abelian T Dualities
• Zero Sound from Holography
• Real-time gauge/gravity duality and ingoing boundary conditions
• Holographic Aspects of Four Dimensional $\mathcal{N}=2$ SCFTs and their Marginal Deformations
• Strange Metallic Behavior in Anisotropic Background
• Zero Sound in Strange Metallic Holography
• Notes on Properties of Holographic Strange Metals
• Zero Sound in Effective Holographic Theories
• A Type IIB Matrix Model via non-Abelian T-dualities
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Mesons from (non) Abelian T-dual backgrounds
• Spin $2$ spectrum for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Probing $\eta$ deformed backgrounds with $Dp$ branes