Flux and Hall states in ABJM with dynamical flavors

Bea, Yago; Jokela, Niko; Lippert, Matthew; Ramallo, Alfonso V.; Zoakos, Dimitrios

doi:10.1007/jhep03(2015)009

Cited by 25 publications

(33 citation statements)

References 116 publications

(217 reference statements)

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“…Generalizations of the current work to the cases with parity breaking[44] or to noncommutativity at the UV[45] could also lead to potentially interesting surprises.…”

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confidence: 82%

Notes on entanglement wedge cross sections

Jokela

Pönni

2019

J. High Energ. Phys.

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We consider the holographic candidate for the entanglement of purification E P , given by the minimal cross sectional area of an entanglement wedge E W . The E P is generally very complicated quantity to obtain in field theories, thus to establish the conjectured relationship one needs to test if E W and E P share common features. In this paper the entangling regions we consider are slabs, concentric spheres, and creases in field theories in Minkowski space. The latter two can be mapped to regions in field theories defined on spheres, thus corresponding to entangled caps and orange slices, respectively. We work in general dimensions and for slabs we also consider field theories at finite temperature and confining theories. We find that E W is neither a monotonic nor continuous function of a scale. We also study a full ten-dimensional string theory geometry dual to a non-trivial RG flow of a three-dimensional Chern-Simons matter theory coupled to fundamentals. We show that also in this case E W behaves non-trivially, which if connected to E P , lends further support that the system can undergo purification simply by expansion or reduction in scale. * niko.jokela@helsinki.fi † arttu.ponni@helsinki.fi

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“…Generalizations of the current work to the cases with parity breaking[44] or to noncommutativity at the UV[45] could also lead to potentially interesting surprises.…”

mentioning

confidence: 82%

Notes on entanglement wedge cross sections

Jokela

Pönni

2019

J. High Energ. Phys.

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“…We will only briefly review the relevant aspects of the model here; for more details, see [27]. It is noteworthy to mention other closely related holographic constructions [36][37][38][39][40][41][42][43][44], which have significantly contributed to the understanding of the current setting.…”

Section: Setupmentioning

confidence: 99%

Pinning of holographic sliding stripes

2017

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In a holographic probe-brane model exhibiting a spontaneously spatially modulated ground state, we introduce explicit sources of symmetry breaking in the form of ionic and antiferromagnetic lattices. For the first time in a holographic model, we demonstrate pinning, in which the translational Goldstone mode is lifted by the introduction of explicit sources of translational symmetry breaking. The numerically computed optical conductivity fits very well to a Drude-Lorentz model with a small residual metallicity, precisely matching analytic formulas for the DC conductivity. We also find an instability of the striped phase in the presence of a large-amplitude ionic lattice.

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“…Using this technique one can find the complete gravity duals. In our context, these generalized ABJM geometries were found in [6][7][8] for massless flavors and in [9] for massive flavors, with a recent extension [10] to a non-commutative geometry. This is not what some call a massive deformation of the ABJM theory [11,12]; entanglement flows in that context are studied in [13,14].…”

Section: Introductionmentioning

confidence: 83%

Information flows in strongly coupled ABJM theory

Balasubramanian

Jokela

Pönni

et al. 2019

J. High Energ. Phys.

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We use holographic methods to characterize the RG flow of quantum information in a Chern-Simons theory coupled to massive fermions. First, we use entanglement entropy and mutual information between strips to derive the dimension of the RG-driving operator and a monotonic c-function. We then display a scaling regime where, unlike in a CFT, the mutual information between strips changes non-monotonically with strip width, vanishing in both IR and UV but rising to a maximum at intermediate scales. The associated information transitions also contribute to non-monotonicity in the conditional mutual information which characterizes the independence of neighboring strips after conditioning on a third. Finally, we construct a measure of extensivity which tests to what extent information that region A shares with regions B and C is additive. In general, mutual information is super-extensive in holographic theories, and we might expect super-extensivity to be maximized in CFTs since they are scale-free. Surprisingly, our massive theory is more superextensive than a CFT in a range of scales near the UV limit, although it is less super-extensive than a CFT at all lower scales. Our analysis requires the full ten-dimensional dual gravity background, and the extremal surfaces computing entanglement entropy explore all of these dimensions.

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Flux and Hall states in ABJM with dynamical flavors

Cited by 25 publications

References 116 publications

Notes on entanglement wedge cross sections

Notes on entanglement wedge cross sections

Pinning of holographic sliding stripes

Information flows in strongly coupled ABJM theory

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