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Thermodynamics of black M-branes from SCFTs

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Abstract

We discuss thermodynamics of N M2-branes at strong coupling from the ABJM theory by employing the Smilga-Wiseman method, which explains the black Dp-brane thermodynamics from the maximally supersymmetric U(N) Yang-Mills theories through a field theory analysis. As a result we obtain the free energy of the ABJM theory ~ N 3/2 \( \sqrt{k}{T^3} \), which is consistent with the prediction from the eleven-dimensional supergravity. We also estimate the free energy of N M5-branes by assuming some natural properties of the 6d superconformal field theory. Remarkably we obtain the free energy ~ N 3 T 6, which is consistent again with the supergravity prediction. This result might illuminate the low energy field theory description of the multiple M5-branes.

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Authors and Affiliations

  1. KEK Theory Center, High Energy Accelerator Research Organization (KEK), 1-1 Oho, Tsukuba, Ibaraki, 305-0801, Japan

    Takeshi Morita & Shotaro Shiba

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  1. Takeshi Morita
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  2. Shotaro Shiba
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Correspondence to Shotaro Shiba.

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ArXiv ePrint: 1305.0789

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Morita, T., Shiba, S. Thermodynamics of black M-branes from SCFTs. J. High Energ. Phys. 2013, 100 (2013). https://doi.org/10.1007/JHEP07(2013)100

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