(Super)Yang-Mills at finite heavy-quark density

Faedo, Antón F.; Kundu, Arnab; Matéos, David; Tarrío, Javier

doi:10.1007/jhep02(2015)010

Cited by 15 publications

(45 citation statements)

References 48 publications

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“…This might change upon considering the backreaction of the branes. Solutions with backreacted flavors at finite density have been recently constructed in [57][58][59][60]. Another possibility is to take an alternative large-N limit where …”

Section: Discussionmentioning

confidence: 99%

Breaking the sound barrier in holography

et al. 2016

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It has been conjectured that the speed of sound in holographic models with UV fixed points has an upper bound set by the value of the quantity in conformal field theory. If true, this would set stringent constraints for the presence of strongly coupled quark matter in the cores of physical neutron stars, as the existence of two-solar-mass stars appears to demand a very stiff Equation of State. In this article, we present a family of counterexamples to the speed of sound conjecture, consisting of strongly coupled theories at finite density.The theories we consider include N = 4 super Yang-Mills at finite R-charge density and non-zero gaugino masses, while the holographic duals are Einstein-Maxwell theories with a minimally coupled scalar in a charged black hole geometry. We show that for a small breaking of conformal invariance, the speed of sound approaches the conformal value from above at large chemical potentials.

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Section: Discussionmentioning

confidence: 99%

Breaking the sound barrier in holography

et al. 2016

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“…In the UV this induces a subleading correction to the solution (2.2) that falls off as in (1.3). In the IR, this drives the theory to an HVL geometry [17]. Here we summarize the necessary results for the discussion of the crossover scales; additional details will be presented below.…”

Section: Hyperscaling-violating Lifshitz Solutionmentioning

confidence: 94%

“…The supergravity solution in which the strings dominate was constructed in [17] following the d = 4 example of [13]. It interpolates between the D2-brane geometry at large values of the holographic coordinate, and a hyperscaling-violating Lifshitz (HVL) solution at small values of the holographic coordinate.…”

Section: Jhep03(2016)154mentioning

confidence: 99%

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Three-dimensional super Yang-Mills with compressible quark matter

Faedo

Kundu

Matéos

et al. 2016

J. High Energ. Phys.

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Abstract:We construct the gravity dual of three-dimensional, SU(N c ) super Yang-Mills theory with N f flavors of dynamical quarks in the presence of a non-zero quark density N q . The supergravity solutions include the backreaction of N c color D2-branes and N f flavor D6-branes with N q units of electric flux on their worldvolume. For massless quarks, the solutions depend non-trivially only on the dimensionless combination ρ = N 2 c N q /λ 2 N 4 f , with λ = g 2 YM N c the 't Hooft coupling, and describe renormalization group flows between the super Yang-Mills theory in the ultraviolet and a non-relativistic theory in the infrared. The latter is dual to a hyperscaling-violating, Lifshitz-like geometry with dynamical and hyperscaling-violating exponents z = 5 and θ = 1, respectively. If ρ 1 then at intermediate energies there is also an approximate AdS 4 region, dual to a conformal Chern-SimonsMatter theory, in which the flow exhibits quasi-conformal dynamics. At zero temperature we compute the chemical potential and the equation of state and extract the speed of sound. At low temperature we compute the entropy density and extract the number of low-energy degrees of freedom. For quarks of non-zero mass M q the physics depends non-trivially on ρ and M q N c /λN f .

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“…Thus, there is reason to believe that, within a precise and complete D-brane picture, however rich the structure may be, the essential physics of instabilities that we have considered here, can be captured by rather simple reduced models that we have discussed here. We conclude this discussion by noting that, the models studied in [27][28][29][30][31] may present natural candidates for a stringy-embedding of the type we have alluded to. Perhaps more of the corresponding phase diagram and equations of state can also be explored within these models.…”

Section: Jhep11(2017)101mentioning

confidence: 71%

Flavours and infra-red instability in holography

Kundu¹

2017

J. High Energ. Phys.

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With a simple gravitational model in five dimensions, defined by Einsteingravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a ChernSimons term, we explore the fate of BF-bound violation for a probe scalar field and a fluctuation mode of the corresponding geometry. We assume this simple model to capture the dynamics of a strongly coupled SU(N c ) gauge theory with N f fundamental matter, which in the limit O (N c ) ∼ O (N f ) and with a non-vanishing matter density, is holographically described by an AdS 2 -geometry in the IR. We demonstrate that, superconductor/superfluid instabilities are facilitated and spontaneous breaking of translational invariance is inhibited with increasing values of (N f /N c ). This is similar, in spirit, with known results in large N c Quantum Chromodynamics with N f quarks and a non-vanishing density, in which the chiral density wave phase becomes suppressed and superconducting instabilities become favoured as the number of quarks is increased.

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(Super)Yang-Mills at finite heavy-quark density

Cited by 15 publications

References 48 publications

Breaking the sound barrier in holography

Breaking the sound barrier in holography

Three-dimensional super Yang-Mills with compressible quark matter

Flavours and infra-red instability in holography

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