Scattering length in holographic confining theories

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We investigate first order phase transitions in a holographic setting of five-dimensional Einstein gravity coupled to a scalar field, constructing phase diagrams of the dual field theory at finite temperature. We scan over the two-dimensional parameter space of a simple bottom-up model and map out important quantities for the phase transition: the region where first order phase transitions take place; the latent heat, the transition strength parameter α, and the stiffness. We find that α is generically in the range 0.1 to 0.3, and is strongly correlated with the stiffness (the square of the sound speed in a barotropic fluid). Using the LISA Cosmology Working Group gravitational wave power spectrum model corrected for kinetic energy suppression at large α and non-conformal stiffness, we outline the observational prospects at the future space-based detectors LISA and TianQin. A TeV-scale hidden sector with a phase transition described by the model could be observable at both detectors.

Section: Discussionmentioning

confidence: 99%

Gravitational waves from a holographic phase transition

Ares

Hindmarsh

Hoyos

et al. 2021

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“…It would be particularly interesting to see if it would result in stiff phases whose c 2 s is above the conformal value [89,90]. This phenomenon can be associated with short-range repulsive interactions [91,92], which, given the fermionic nature of the bulk excitations, is expected at low temperature. Finally, we would like to point out that an analysis of the QNM spectra appeared in [86].…”

Section: Comments On the Thermodynamics Of The Electron Cloudmentioning

confidence: 99%

Quantum information probes of charge fractionalization in large-N gauge theories

DiNunno

Jokela

Pedraza

et al. 2021

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We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-N gauge theories. For concreteness, we focus on a simple holographic (2 + 1)-dimensional strongly coupled electron fluid whose charged states organize themselves into fractionalized and coherent patterns at sufficiently low temperatures. However, we expect that our results are quite generic and applicable to a wide range of systems, including non-holographic. The probes we consider include the entanglement entropy, mutual information, entanglement of purification and the butterfly velocity. The latter turns out to be particularly useful, given the universal connection between momentum and charge diffusion in the vicinity of a black hole horizon. The RT surfaces used to compute the above quantities, though, are largely insensitive to the electric flux in the bulk. To address this deficiency, we propose a generalized entanglement functional that is motivated through the Iyer-Wald formalism, applied to a gravity theory coupled to a U(1) gauge field. We argue that this functional gives rise to a coarse grained measure of entanglement in the boundary theory which is obtained by tracing over (part) of the fractionalized and cohesive charge degrees of freedom. Based on the above, we construct a candidate for an entropic c-function that accounts for the existence of bulk charges. We explore some of its general properties and their significance, and discuss how it can be used to efficiently account for charged degrees of freedom across different energy scales.

“…For example, in the context of the half-maximal supergravity in six dimensions, coupled to n vector multiplets [143,[165][166][167][168] (see also refs. [169][170][171][172][173][174][175][176][177][178][179][180][181][182][183][184][185][186]), and compactified on a circle [152,164,187,188]. Solutions to these systems exist that admit an interpretation of the long distance dynamics in terms of confining field theories in four dimensions.…”

Section: Introductionmentioning

confidence: 99%

Towards top-down holographic composite Higgs: minimal coset from maximal supergravity

Elander

Piai

2022

Within the context of top-down holography, we study a one-parameter family of regular background solutions of maximal gauged supergravity in seven dimensions, dimensionally reduced on a 2-torus. The dual, four-dimensional confining field theory realises the global (spontaneous as well as explicit) symmetry breaking pattern SO(5) → SO(4). We compute the complete mass spectrum for the fluctuations of the 128 bosonic degrees of freedom of the five-dimensional gravity theory, which correspond to scalar, pseudoscalar, vector, axial-vector, and tensor bound states of the dual field theory, and includes particles with exotic SO(4) quantum numbers. We confirm the existence of tachyonic instabilities near the boundaries of the parameter space.We discuss the interplay between explicit and spontaneous symmetry breaking. The SO(5)/SO(4) coset might provide a first step towards the realisation of a calculable framework and ultraviolet completion of minimal composite Higgs models, if the four pseudo-Nambu-Goldstone bosons are identified with the real components of the Higgs doublet in the standard model (SM), and a subgroup of SO(4) with the SU(2) × U(1) SM gauge group. We exhibit an example with an additional localised boundary term that mimics the effect of a weakly-coupled external sector.