Panebianco Lorenzo

PhD Graduate

PhD program:: XXXIV


supervisor: G. Panati
advisor: R. Longo

Thesis title: Quantum Null Energy Condition, Loop Groups and Modular Nuclearity

In this PhD thesis we prove the QNEC for some solitonic states of physical interest on a generic conformal net. The proof relies on explicit computations on the Virasoro nets and on the use of vacuum preserving conditional expectations. The convexity result is not the most general one, but our explicit formulae allow us to achieve other entropy-related results like the Bekenstein Bound.

Research products

11573/1642688 - 2021 - Loop Groups and QNEC
Panebianco, L. - 01a Articolo in rivista
paper: COMMUNICATIONS IN MATHEMATICAL PHYSICS (Heidelberg: Springer-Verlag.) pp. 397-426 - issn: 0010-3616 - wos: WOS:000676065800002 (2) - scopus: 2-s2.0-85111111760 (2)

11573/1413257 - 2020 - A formula for the relative entropy in chiral CFT
Panebianco, Lorenzo - 01a Articolo in rivista
paper: LETTERS IN MATHEMATICAL PHYSICS (-Dordrecht Netherlands: Springer -Dordrecht Netherlands: Kluwer Academic Publishers -Dordrecht ; Boston : Reidel) pp. - - issn: 0377-9017 - wos: WOS:000539667600001 (6) - scopus: 2-s2.0-85086157732 (6)

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