TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.4.108
TI  - Lattice regularization of reduced Kähler-Dirac fermions and connections to chiral fermions
PY  - 2024/04/23
UR  - https://scipost.org/SciPostPhys.16.4.108
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 4
SP  - 108
A1  - Catterall, Simon
AB  - We show how a path integral for reduced Kähler-Dirac fermions suffers from a phase ambiguity associated with the fermion measure that is an analog of the measure problem seen for chiral fermions. However, unlike the case of chiral symmetry, a doubler free lattice action exists which is invariant under the corresponding onsite symmetry. This allows for a clear diagnosis and solution to the problem using mirror fermions resulting in a unique gauge invariant measure. By introducing an appropriate set of Yukawa interactions which are consistent with 't Hooft anomaly cancellation we conjecture the mirrors can be decoupled from low energy physics. Moreover, the minimal such Kähler-Dirac mirror model yields a light sector which corresponds, in the flat space continuum limit, to the Pati-Salam GUT model.
ER  -

@Article{10.21468/SciPostPhys.16.4.108,
	title={{Lattice regularization of reduced Kähler-Dirac fermions and connections to chiral fermions}},
	author={Simon Catterall},
	journal={SciPost Phys.},
	volume={16},
	pages={108},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.4.108},
	url={https://scipost.org/10.21468/SciPostPhys.16.4.108},
}