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.
|Journal||Journal of High Energy Physics|
|State||Published - Sep 2021|
Bibliographical notePublisher Copyright:
© 2021, The Author(s).
- Conformal Field Theory
- Field Theories in Higher Dimensions
- Field Theories in Lower Dimensions
ASJC Scopus subject areas
- Nuclear and High Energy Physics