A bstract We construct infinite-dimensional R-matrices that generalise the relativistic scattering of massless modes with same chirality on AdS 2 near Berestein-Maldacena-Nastase vacuum. show infrared limit reproduces finite-dimensional , from which borrow modified braiding unitary. also prove enjoy an symmetry superalgebra embeds . Finally, we verify are invariant under crossing symmetry.

It is well known that unitary symmetries can be “gauged,” i.e., defined to act in a local way, which leads to a corresponding gauge field. Gauging, for example, the charge-conservation symmetry leads to electromagnetic gauge fields. It is an open question whether an analogous process is possible for time reversal which is an antiunitary symmetry. Here, we discuss a route to gauging time-reversa...

We investigate the fate of coherence in dynamical evolution symmetry protected quantum systems. Under formalism system plus bath for open systems, antiunitary symmetries exhibit significant differences from unitary ones protecting initial coherence. Specifically, taking advantage Lindblad master equation, we find that a pure state degenerate subspace will be decoherent even though both Hamilton...

We consider the following class of unitary representations π of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism τ , and that the Hilbert space H(π) carries a unitary operator J such that Jπ = (π ◦ τ)J (i.e., selfsimilarity). (ii) An added symmetry is implied if H(π) further contains a closed subspace K0 having a cert...

We construct a very general family of characteristic functions describing random matrix ensembles (RME) having a global unitary invariance, and containing an arbitrary, one-variable probability measure, which we characterize by a "spread function." Various choices of the spread function lead to a variety of possible generalized RMEs, which show deviations from the well-known Gaussian RME origin...

Recently, Kalkreuter obtained the complete Dirac spectrum for an SU(2) lattice gauge theory. We performed a statistical analysis of his data and found that the eigenvalue correlations can be described by the Gaussian Symplectic Ensemble. Long range fluctuations are strongly suppressed: the variance of a sequence of levels containing n eigenvalues on average is given by 1 2π 2 (log n+const.). Ou...

The purpose cif this note is to investigate consequences of the three-dimensional unitary group (denoted as U 3 hereafter), which is a certain generalization of the usual isotopic space group. Though many authors1>'2J,aJ have examined this problem, our procedure is simpler and some new results have been obtained. Also, we can treat different schemes of U3 such as Sakata's1>' 2J or Gell-Mann's3>...

Abstract. It is known that every ribbon category with unimodality allows symmetrized 6j-symbols with full tetrahedral symmetries while a spherical category does not in general. We give an explicit counterexample for this, namely the category E. We define the mirror conjugate symmetry of 6j-symbols instead and show that 6j-symbols of any unitary spherical category can be normalized to have this ...