QNEC_{2} in deformed holographic CFTs
Abstract
We use the quantum null energy condition in strongly coupled twodimensional field theories (QNEC_{2}) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC_{2} constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC_{2}inequality and monotonicity of the CasiniHuerta cfunction. We then focus on a specific example, the holographic dual of which is modelled by threedimensional Einstein gravity plus a massive scalar field with one free parameter in the selfinteraction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the cfunction either flows to zero or to a finite value in the infrared. We present evidence that evaluating QNEC_{2} for ground state solutions allows to predict the existence of phase transitions at finite temperature.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2021
 DOI:
 10.1007/JHEP03(2021)213
 arXiv:
 arXiv:2007.10367
 Bibcode:
 2021JHEP...03..213E
 Keywords:

 AdSCFT Correspondence;
 Black Holes;
 Conformal Field Theory;
 Field Theories in Lower Dimensions;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 55pp, 18 figs