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.
Original language | English |
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Article number | 74 |
Journal | Journal of High Energy Physics |
Volume | 2021 |
Issue number | 9 |
DOIs | |
State | Published - Sep 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s).
Keywords
- Conformal Field Theory
- Field Theories in Higher Dimensions
- Field Theories in Lower Dimensions
ASJC Scopus subject areas
- Nuclear and High Energy Physics