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arXiv · 2309.06469

Holographic Thermal Observables and M2-branes

Nikolay Bobev·Junho Hong·Valentin Reys
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Abstract

We use holography in conjunction with recent results from supersymmetric localization to compute certain thermal observables for 3d $\mathcal{N}=2$ holographic SCFTs arising on the worldvolume of $N$ M2-branes. We obtain results for the thermal free energy density on $S^1 \times \mathbb{R}^2$, the Casimir energy on $T^{2} \times \mathbb{R}$, and the three leading coefficients in the large temperature limit of the free energy on $S^1\times S^2$ valid to subleading order in the large $N$ limit. As a byproduct of our holographic analysis we also present a conjecture for the structure of the large temperature expansion of the thermal free energy of general 3d CFTs on $S^1\times S^2$.

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Nikolay Bobev, Junho Hong, Valentin Reys. 2023-09-12. Holographic Thermal Observables and M2-branes. https://arxiv.org/abs/2309.06469

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