Algebraic realizations of chiral symmetry and the Veneziano model

1971 ◽  
Vol 4 (3) ◽  
pp. 433-442 ◽  
Author(s):  
J. Cleymans
1969 ◽  
Vol 23 (2) ◽  
pp. 103-105 ◽  
Author(s):  
Fayyazuddin ◽  
Riazuddin ◽  
Masud Ahmad

1969 ◽  
Vol 23 (17) ◽  
pp. 1004-1007 ◽  
Author(s):  
Jeremiah A. Cronin ◽  
Kyungsik Kang

2016 ◽  
Vol 187 (07) ◽  
pp. 715-743
Author(s):  
Yuliya S. Kalashnikova ◽  
Aleksei V. Nefed'ev ◽  
J.E.F.T. Ribeiro
Keyword(s):  

2018 ◽  
Vol 778 ◽  
pp. 43-47 ◽  
Author(s):  
Peter C. Bruns ◽  
Maxim Mai

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Chang-geun Oh ◽  
Sang-Hoon Han ◽  
Seung-Gyo Jeong ◽  
Tae-Hwan Kim ◽  
Sangmo Cheon

AbstractAlthough a prototypical Su–Schrieffer–Heeger (SSH) soliton exhibits various important topological concepts including particle-antiparticle (PA) symmetry and fractional fermion charges, there have been only few advances in exploring such properties of topological solitons beyond the SSH model. Here, by considering a chirally extended double-Peierls-chain model, we demonstrate novel PA duality and fractional charge e/2 of topological chiral solitons even under the chiral symmetry breaking. This provides a counterexample to the belief that chiral symmetry is necessary for such PA relation and fractionalization of topological solitons in a time-reversal invariant topological system. Furthermore, we discover that topological chiral solitons are re-fractionalized into two subsolitons which also satisfy the PA duality. As a result, such dualities and fractionalizations support the topological $$\mathbb {Z}_4$$ Z 4 algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.


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