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Talk1 h 14 min

Exact chiral symmetries of Hamiltonian lattice fermions in 3+1d

Ryan Thorngren · CERN

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About

We will discuss methods of circumventing the fermion doubling problem in 3+1d Hamiltonian lattice models. In particular, we will construct a 3+1d model with a single Weyl fermion and an exact UV symmetry which implies the conservation of chiral charge in the IR. We will do the same for the SU(2) symmetry of a single Weyl doublet, finding a connection between an object in integrability known as the Onsager algebra, and Witten's SU(2) anomaly. Time permitting, we will also discuss 2+1d models with the parity anomaly.

This talk is based on https://arxiv.org/abs/2503.07708 with Lei Gioia (Caltech)

(online talk) .

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The talk

  1. Exact chiral symmetries of Hamiltonian lattice fermions in 3+1d 2025-05-06 · 1 h 14 min · CERN's player

Credits and licence

Institution
CERN
Department
TH String Theory Seminar
Speaker
Ryan Thorngren
Year
2025
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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