Light-ray moments as endpoint contributions to modular Hamiltonians

Authors

Daniel Kabat, CUNY Lehman CollegeFollow
Gilad Lifschytz, University of Haifa
Phuc Nguyen, CUNY Lehman CollegeFollow
Debajyoti Sarkar, Indian Institute of Technology Indore

Document Type

Article

Publication Date

2021

Abstract

We consider excited states in a CFT, obtained by applying a weak unitary perturbation to the vacuum. The perturbation is generated by the integral of a local operator J⁽ⁿ⁾ of modular weight n over a spacelike surface passing through x = 0. For |n| ≥ 2 the modular Hamiltonian associated with a division of space at x = 0 picks up an endpoint contribution, sensitive to the details of the perturbation (including the shape of the spacelike surface) at x = 0. The endpoint contribution is a sum of light-ray moments of the perturbing operator J⁽ⁿ⁾ and its descendants. For perturbations on null planes only moments of J⁽ⁿ⁾ itself contribute.

Comments

This article was originally published in Journal of High Energy Physics, available at https://doi.org/10.1007/JHEP09(2021)074

This work is distributed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).