• Corpus ID: 252438599

Modular conjugation for multicomponent regions

@inproceedings{Abate2022ModularCF,
  title={Modular conjugation for multicomponent regions},
  author={Nicolas Abate and David Blanco and M Z Koĭfman and Guillem P'erez-Nadal},
  year={2022}
}
We consider a massless Dirac field in 1 + 1 dimensions, and compute the Tomita-Takesaki modular conjugation corresponding to the vacuum state and a generic multicomponent spacetime region. We do it by analytic continuation from the modular flow, which was computed recently. We use our result to discuss the validity of Haag duality in this model. 

References

SHOWING 1-10 OF 38 REFERENCES

Tomita-Takesaki Modular Theory

Entanglement of a chiral fermion on the torus

In this paper we present the detailed calculation of a new modular Hamiltonian, namely that of a chiral fermion on a circle at non-zero temperature. We provide explicit results for an arbitrary

Modular Hamiltonian of a chiral fermion on the torus

We consider a chiral fermion at non-zero temperature on a circle (i.e., on a torus in the Euclidean formalism) and compute the modular Hamiltonian corresponding to a subregion of the circle. We do

Resolving modular flow: a toolkit for free fermions

Modular flow is a symmetry of the algebra of observables associated to space-time regions. Being closely related to entanglement, it has played a key role in recent connections between information

Entanglement Spectrum of Chiral Fermions on the Torus.

The modular Hamiltonian of chiral fermions on the torus is determined, finding that, in addition to a local Unruh-like term, each point is nonlocally coupled to an infinite but discrete set of other points, even for a single interval.

Modular conjugations in 2D conformal field theory and holographic bit threads

We study the geometric action of some modular conjugations in two dimensional (2D) conformal field theories. We investigate the bipartition given by an interval when the system is in the ground

Reduced density matrix and internal dynamics for multicomponent regions

We find the density matrix corresponding to the vacuum state of a massless Dirac field in two dimensions reduced to a region of the space formed by several disjoint intervals. We calculate explicitly

Entanglement Hamiltonians in two-dimensional conformal field theory

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular Hamiltonian) may be written as an integral over the energy-momentum

A c-theorem for entanglement entropy

The combination of the Lorentz symmetry and the strong subadditive property of the entropy leads to a c-theorem for the entanglement entropy in (1+1) dimensions. We present a simple derivation of

Modular Hamiltonians for deformed half-spaces and the averaged null energy condition

A bstractWe study modular Hamiltonians corresponding to the vacuum state for deformed half-spaces in relativistic quantum field theories on ℝ1,d−1$$ {\mathrm{\mathbb{R}}}^{1,d-1} $$. We show that in