3,841 research outputs found
On F-theory E_6 GUTs
We approach the Minimum Supersymmetric Standard Model (MSSM) from an E_6 GUT
by using the spectral cover construction and non-abelian gauge fluxes in
F-theory. We start with an E_6 singularity unfolded from an E_8 singularity and
obtain E_6 GUTs by using an SU(3) spectral cover. By turning on SU(2) X U(1)^2
gauge fluxes, we obtain a rank 5 model with the gauge group SU(3) X SU(2) X
U(1)^2. Based on the well-studied geometric backgrounds in the literature, we
demonstrate several models and discuss their phenomenology.Comment: 42 pages, 17 tables; typos corrected, clarifications added, and
references adde
Change-Point Estimation of Nonstationary I(d) Processes
We examine the least-squares estimator of change point for nonstationary I(d) data with 0.5least-squares estimator, change point, nonstationary I(d) process, spurious change
Improved HAC Covariance Matrix Estimation Based on Forecast Errors
We propose computing HAC covariance matrix estimators based on one-stepahead forecasting errors. It is shown that this estimator is consistent and has smaller bias than other HAC estimators. Moreover, the tests that rely on this estimator have more accurate sizes without sacrificing its power.forecast error, HAC estimator, kernel estimator, recursive residual, robust test
Quench Dynamics of Topological Maximally-Entangled States
We investigate the quench dynamics of the one-particle entanglement spectra
(OPES) for systems with topologically nontrivial phases. By using dimerized
chains as an example, it is demonstrated that the evolution of OPES for the
quenched bi-partite systems is governed by an effective Hamiltonian which is
characterized by a pseudo spin in a time-dependent pseudo magnetic field
. The existence and evolution of the topological
maximally-entangled edge states are determined by the winding number of
in the -space. In particular, the maximally-entangled edge
states survive only if nontrivial Berry phases are induced by the winding of
. In the infinite time limit the equilibrium OPES can be
determined by an effective time-independent pseudo magnetic field
\vec{S}_{\mb{eff}}(k). Furthermore, when maximally-entangled edge states are
unstable, they are destroyed by quasiparticles within a characteristic
timescale in proportional to the system size.Comment: 5 pages, 3 figure
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