Conformal Blocks and Negativity at Large Central Charge

Abstract

We consider entanglement negativity for two disjoint intervals in 1+1 dimensional CFT in the limit of large central charge. As the two intervals get close, the leading behavior of negativity is given by the logarithm of the conformal block where a set of approximately null descendants appears in the intermediate channel. We compute this quantity numerically and compare with existing analytic methods which provide perturbative expansion in powers of the cross-ratio.

harvmac, 30 pages, 2 figures, references added, accepted for publication in JHEP

References in corpus (5)

• Entanglement negativity in quantum field theory
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Entanglement Entropy at Large Central Charge
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Scaling of entanglement between separated blocks in spin chains at criticality

Cited by in corpus (5)

• Finite temperature entanglement negativity in conformal field theory
• Entanglement negativity after a global quantum quench
• Negativity spectrum of one-dimensional conformal field theories
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Negativity Spectrum in the Random Singlet Phase