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Unquenched massive flavors and flows in Chern-Simons matter theories

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Abstract

We construct a holographic dual to the three-dimensional ABJM Chern-Simons matter theory with unquenched massive flavors. The flavor degrees of freedom are introduced by means of D6-branes extended along the gauge theory directions and delocalized in the internal space. To find the solution we have to solve the supergravity equations of motion with the source terms introduced by the D6-branes. The background we get is a running solution representing the renormalization group flow between two fixed points, at the IR and the UV, in both of which the geometry is of the form AdS 4 × \( {{\mathcal{M}}_6} \), where \( {{\mathcal{M}}_6} \) is a six-dimensional compact manifold. Along the flow, \( \mathcal{N} \) = 1 supersymmetry is preserved and the flavor group is Abelian. The flow is generated by changing the quark mass m q . When m q → ∞ we recover the original unflavored ABJM solution, while for m q → 0 our solution becomes asymptotically equivalent to the one found recently for massless smeared flavors. We study the effects of the dynamical quarks as their mass is varied on different observables, such as the holographic entanglement entropy, the quark-antiquark potential, the two-point functions of high dimension bulk operators, and the mass spectrum of mesons.

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Authors and Affiliations

  1. Departamento de Física de Partículas, Universidade de Santiago de Compostela, E-15782, Santiago de Compostela, Spain

    Yago Bea, Niko Jokela & Alfonso V. Ramallo

  2. Instituto Galego de Física de Altas Enerxías (IGFAE), E-15782, Santiago de Compostela, Spain

    Yago Bea, Niko Jokela & Alfonso V. Ramallo

  3. Physique Théorique et Mathématique and International Solvay Institutes, Université Libre de Bruxelles, Campus Plaine — CP 231, B-1050, Bruxelles, Belgium

    Eduardo Conde

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  1. Yago Bea
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Correspondence to Alfonso V. Ramallo.

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ArXiv ePrint: 1309.4453

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Bea, Y., Conde, E., Jokela, N. et al. Unquenched massive flavors and flows in Chern-Simons matter theories. J. High Energ. Phys. 2013, 33 (2013). https://doi.org/10.1007/JHEP12(2013)033

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