Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Seifnashri, Sahand"'
Autor:
Seifnashri, Sahand, Shao, Shu-Heng
We show that the standard 1+1d $\mathbb{Z}_2\times \mathbb{Z}_2$ cluster model has a non-invertible global symmetry, described by the fusion category Rep(D$_8$). Therefore, the cluster state is not only a $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry pr
Externí odkaz:
http://arxiv.org/abs/2404.01369
Publikováno v:
SciPost Phys. 16, 154 (2024)
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+1d lattice models on a tensor product Hilbert space of qubits. This symmetry is associated with a topological defect and a conserved operator, and the latter can be presented as a matr
Externí odkaz:
http://arxiv.org/abs/2401.12281
Autor:
Seifnashri, Sahand
Publikováno v:
SciPost Phys. 16, 098 (2024)
We study 't Hooft anomalies of global symmetries in 1+1d lattice Hamiltonian systems. We consider anomalies in internal and lattice translation symmetries. We derive a microscopic formula for the "anomaly cocycle" using topological defects implementi
Externí odkaz:
http://arxiv.org/abs/2308.05151
It is known that the asymptotic density of states of a 2d CFT in an irreducible representation $\rho$ of a finite symmetry group $G$ is proportional to $(\dim\rho)^2$. We show how this statement can be generalized when the symmetry can be non-inverti
Externí odkaz:
http://arxiv.org/abs/2208.05495
We discuss invertible and non-invertible topological condensation defects arising from gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime, which we define as higher gauging. A $q$-form symmetry is called $p$-gauge
Externí odkaz:
http://arxiv.org/abs/2204.02407
We construct the defining data of two-dimensional topological field theories (TFTs) enriched by non-invertible symmetries/topological defect lines. Simple formulae for the three-point functions and the lasso two-point functions are derived, and cross
Externí odkaz:
http://arxiv.org/abs/2110.02958
Publikováno v:
SciPost Phys. 13, 067 (2022)
A 2+1-dimensional topological quantum field theory (TQFT) may or may not admit topological (gapped) boundary conditions. A famous necessary, but not sufficient, condition for the existence of a topological boundary condition is that the chiral centra
Externí odkaz:
http://arxiv.org/abs/2107.13091
We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group $SU(N)$. The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits $\sim 2^{2N}$ non-invertibl
Externí odkaz:
http://arxiv.org/abs/2008.07567
We study four-dimensional gauge theories on oriented and non-spin spacetime manifolds. On such manifolds, each line operator arises only either as a boson or a fermion. Based on physical arguments, a method of systematically assigning spin labels to
Externí odkaz:
http://arxiv.org/abs/1911.00589
We test recently proposed IR dualities and supersymmetry enhancement by studying the supersymmetry on domain walls. In the $SU(3)$ Wess-Zumino model studied in arXiv:1804.02018 and arXiv:1804.05707, we show that domain walls exhibit supersymmetry enh
Externí odkaz:
http://arxiv.org/abs/1904.02722