TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.046
TI  - The parastatistics of braided Majorana fermions
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysProc.14.046
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 046
A1  - Toppan, Francesco
AB  - This paper presents the parastatistics of braided Majorana fermions obtained in the framework of a graded Hopf algebra endowed with a braided tensor product. The braiding property is encoded in a t-dependent 4×4 braiding matrix $B_t$ related to the Alexander-Conway polynomial. The nonvanishing complex parameter t defines the braided parastatistics. At t=1 ordinary fermions are recovered. The values of t at roots of unity are organized into levels which specify the maximal number of braided Majorana fermions in a multiparticle sector. Generic values of t and the t=-1 root of unity mimick the behaviour of ordinary bosons.
ER  -

@Article{10.21468/SciPostPhysProc.14.046,
	title={{The parastatistics of braided Majorana fermions}},
	author={Francesco Toppan},
	journal={SciPost Phys. Proc.},
	pages={046},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.046},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.046},
}