Work

Light-ray moments as endpoint contributions to modular Hamiltonians

Year: 2021

Type: article

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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2021)074

Authors: Daniel Kabat, Gilad Lifschyt, Phuc Nguyen, Debajyoti Sarkar

Institutions: The Graduate Center, CUNY, Lehman College, City University of New York, University of Haifa, Indian Institute of Technology Indore

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Israel Science Foundation

Awards: G7470113607, Collaborative Research: Investigations in Strings, Fields and Gravity