Zobrazeno 1 - 10
of 587
pro vyhledávání: '"Wen, Xiao-Gang"'
Given a premodular category $\mathcal{C}$, we show that its $R$-symbol can be recovered from its $T$-matrice, fusion coefficients and some 2nd generalized Frobenius-Schur indicators. In particular, if $\mathcal{C}$ is modular, its $R$-symbols for a c
Externí odkaz:
http://arxiv.org/abs/2408.02748
For a given parent fractional quantum Hall (FQH) state at filling fraction $\nu$, the hierarchy construction produces FQH states at nearby filling fractions $\{\nu_n\}$ by condensing minimally charged quasiholes or quasiparticles of the parent state
Externí odkaz:
http://arxiv.org/abs/2406.12068
Generalized symmetries often appear in the form of emergent symmetries in low energy effective descriptions of quantum many-body systems. Non-invertible symmetries are a particularly exotic class of generalized symmetries, in that they are implemente
Externí odkaz:
http://arxiv.org/abs/2405.05331
We study the nonlinear $\sigma$-model in ${(d+1)}$-dimensional spacetime with connected target space $K$ and show that, at energy scales below singularities (e.g., vortices, hedgehogs, etc.), it has an emergent non-invertible higher symmetry. The sym
Externí odkaz:
http://arxiv.org/abs/2310.08554
Autor:
Inamura, Kansei, Wen, Xiao-Gang
A generalized symmetry (defined by the algebra of local symmetric operators) can go beyond group or higher group description. A theory of generalized symmetry (up to holo-equivalence) was developed in terms of symmetry-TO -- a bosonic topological ord
Externí odkaz:
http://arxiv.org/abs/2310.05790
Autor:
Timmel, Abigail, Wen, Xiao-Gang
It is known that $n$-degenerate Landau levels with the same spin-valley quantum number can be realized by $n$-layer graphene with rhombohedral stacking under magnetic field $B$. We find that the wave functions of degenerate Landau levels are concentr
Externí odkaz:
http://arxiv.org/abs/2308.09702
We use the computer algebraic system GAP to classify modular data up to rank 11, and integral modular data up to rank 12. This extends the previously obtained classification of modular data up to rank 6. Our classification includes all the modular da
Externí odkaz:
http://arxiv.org/abs/2308.09670
Chiral field theories describe large classes of matter, from the edges of Quantum Hall systems to the electroweak sector of the Standard Model, but defining them on the lattice has been an ongoing challenge due to a no-go theorem precluding free loca
Externí odkaz:
http://arxiv.org/abs/2305.03024
Autor:
Pace, Salvatore D., Wen, Xiao-Gang
Although condensed matter systems usually do not have higher-form symmetries, we show that, unlike 0-form symmetry, higher-form symmetries can emerge as exact symmetries at low energies and long distances. In particular, emergent higher-form symmetri
Externí odkaz:
http://arxiv.org/abs/2301.05261
A characteristic property of a gapless liquid state is its emergent symmetry and dual symmetry, associated with the conservation laws of symmetry charges and symmetry defects respectively. These conservation laws, considered on an equal footing, can'
Externí odkaz:
http://arxiv.org/abs/2212.14432