Current unknowns in the three-neutrino framework
We present an up-to-date global analysis of data coming from neutrino oscillation and non-
oscillation experiments, as available in April 2018, within the standard framework including …
oscillation experiments, as available in April 2018, within the standard framework including …
Symmetry TFTs for non-invertible defects
Given any symmetry acting on ad-dimensional quantum field theory, there is an associated
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …
Symmetry TFTs and anomalies of non-invertible symmetries
A bstract It is known that the't Hooft anomalies of invertible global symmetries can be
characterized by an invertible TQFT in one higher dimension. The analogous statement …
characterized by an invertible TQFT in one higher dimension. The analogous statement …
Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+ 1 and 3+ 1 dimensions
Abstract Topological Quantum Field Theories (TQFTs) pertinent to some emergent low
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …
From gauge to higher gauge models of topological phases
A bstract We consider exactly solvable models in (3+ 1) d whose ground states are
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …
described by topological lattice gauge theories. Using simplicial arguments, we emphasize …
Entanglement entropy from tensor network states for stabilizer codes
In this paper, we present the construction of tensor network states (TNS) for some of the
degenerate ground states of three-dimensional (3D) stabilizer codes. We then use the TNS …
degenerate ground states of three-dimensional (3D) stabilizer codes. We then use the TNS …
Quantum 4d Yang-Mills theory and time-reversal symmetric 5d higher-gauge topological field theory
We explore various 4d Yang-Mills gauge theories (YM) living as boundary conditions of 5d
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …
gapped short-/long-range entangled (SRE/LRE) topological states. Specifically, we explore …
Loop braiding statistics and interacting fermionic symmetry-protected topological phases in three dimensions
We study Abelian braiding statistics of loop excitations in three-dimensional gauge theories
with fermionic particles and the closely related problem of classifying 3D fermionic symmetry …
with fermionic particles and the closely related problem of classifying 3D fermionic symmetry …
Symmetry fractionalization, mixed-anomalies and dualities in quantum spin models with generalized symmetries
We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in
quantum spin models in spatial dimensions $ d= 2$ and 3. Doing so, we naturally uncover …
quantum spin models in spatial dimensions $ d= 2$ and 3. Doing so, we naturally uncover …
Continuum field theory of three-dimensional topological orders with emergent fermions and braiding statistics
Universal topological data of topologically ordered phases can be captured by topological
quantum field theory in continuous space time by taking the limit of low energies and long …
quantum field theory in continuous space time by taking the limit of low energies and long …