Zobrazeno 1 - 10
of 31
pro vyhledávání: '"You, Minyoung"'
We present an efficient method to compute the modular extension of both fermionic topological orders and $\mathbb{Z}_2$-symmetric bosonic topological orders in two spatial dimensions, basing on congruence representations of $\mathrm{SL}_2(\mathbb{Z})
Externí odkaz:
http://arxiv.org/abs/2312.00868
Autor:
Turzillo, Alex, You, Minyoung
Publikováno v:
J. High Energ. Phys. 2024, 34 (2024)
We study the interplay of duality and stacking of bosonic and fermionic symmetry-protected topological phases in one spatial dimension. In general the classifications of bosonic and fermionic phases have different group structures under the operation
Externí odkaz:
http://arxiv.org/abs/2311.18782
Autor:
You, Minyoung
We develop a test for the vanishing of higher central charges of a fermionic topological order, which is a necessary condition for the existence of a gapped boundary, purely in terms of the modular data of the super-modular tensor category. More prec
Externí odkaz:
http://arxiv.org/abs/2311.01096
The fusion rules and braiding statistics of anyons in $(2+1)$D fermionic topological orders are characterized by the modular data of a super-modular category. On the other hand, the modular data of a super-modular category form a congruence represent
Externí odkaz:
http://arxiv.org/abs/2210.03681
Publikováno v:
SciPost Phys. 16, 050 (2024)
Fractonic phases are new phases of matter that host excitations with restricted mobility. We show that a certain class of gapless fractonic phases are realized as a result of spontaneous breaking of continuous higher-form symmetries whose conserved c
Externí odkaz:
http://arxiv.org/abs/2207.00854
Autor:
You, Minyoung
We study aspects of gapped phases of matter, focusing on their classification, including the group law under stacking, and their relation to topological quantum field theories (TQFT). In one spatial dimension, it is well-known that Matrix Product Sta
Autor:
Turzillo, Alex, You, Minyoung
Publikováno v:
Phys. Rev. Lett. 127, 026402 (2021)
It has recently been demonstrated that protected supersymmetry emerges on the boundaries of one-dimensional intrinsically fermionic symmetry protected trivial (SPT) phases. Here we investigate the boundary supersymmetry of one-dimensional fermionic p
Externí odkaz:
http://arxiv.org/abs/2012.04621
Autor:
You, Minyoung
Class D topological superconductors in $2+1$ dimensions are known to have a $\mathbb{Z}_{16}$ classification in the presence of interactions, with $16$ different topological orders underlying the $16$ distinct phases. By applying the fermionic stacki
Externí odkaz:
http://arxiv.org/abs/2008.00154
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