• 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}
}
• Published 21 September 2022
• Physics
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

• Physics
Journal of High Energy Physics
• 2019
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
• Physics, Mathematics
Physical Review D
• 2019
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
• Physics
Journal of High Energy Physics
• 2020
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
• Physics
Physical review letters
• 2019
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.
• Mathematics, Physics
Journal of High Energy Physics
• 2022
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
• Physics
• 2009
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
• Physics
• 2016
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
• Physics, Mathematics
• 2006
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
• Mathematics
• 2016
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