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Holographic Roberge-Weiss transitions

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Abstract

We investigate \( \mathcal{N} = 4 \) SYM coupled to fundamental flavours at nonzero imaginary quark chemical potential in the strong coupling and large N limit, using gauge/gravity duality applied to the D3-D7 system, treating flavours in the probe approximation. The interplay between \( {\mathbb{Z}_N} \) symmetry and the imaginary chemical potential yields a series of first-order Roberge-Weiss transitions. An additional thermal transition separates phases where quarks are bound/ unbound into mesons. This results in a set of Roberge-Weiss endpoints: we establish that these are triple points, determine the Roberge-Weiss temperature, give the curvature of the phase boundaries and confirm that the theory is analytic in μ 2 when μ 2 ≈ 0.

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Authors and Affiliations

  1. Department of Physics, Swansea University, Swansea, SA2 8PP, U.K.

    Gert Aarts, S. Prem Kumar & James Rafferty

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  1. Gert Aarts
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  2. S. Prem Kumar
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  3. James Rafferty
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Correspondence to S. Prem Kumar.

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ArXiv ePrint: 1005.2947

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Aarts, G., Kumar, S.P. & Rafferty, J. Holographic Roberge-Weiss transitions. J. High Energ. Phys. 2010, 56 (2010). https://doi.org/10.1007/JHEP07(2010)056

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