Exact results for the entanglement entropy and the energy radiated by a quark

Abstract

We consider a spherical region with a heavy quark in the middle. We compute the extra entanglement entropy due to the presence of a heavy quark both in $\mathcal{N}=4$ Super Yang Mills and in the $\mathcal{N}=6$ Chern-Simons matter theory (ABJM). This is done by relating the computation to the expectation value of a circular Wilson loop and a stress tensor insertion. We also give an exact expression for the Bremsstrahlung function that determines the energy radiated by a quark in the ABJM theory.

23+12 pages, 8 figures. V2: references added. V3: references added. V4: small comments and references added

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• Exact Slope and Interpolating Functions in ABJM Theory
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• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
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• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
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• Area terms in entanglement entropy
• Supersymmetric Rényi Entropy in Five Dimensions
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• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
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• Bootstrapping line defects in $\mathcal{N}=2$ theories
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• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
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• Renyi Entropy of Free (2,0) Tensor Multiplet and its Supersymmetric Counterpart
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