We revisit the status of asymptotic symmetries in higher even dimensions and propose a definition superrotation charge beyond linearized gravity. prove that there is well-defined spacetime action on space asymptotically flat geometries. Additionally, we demonstrate Ward identity associated with charges follows from subleading soft graviton theorem, which universal constraint (in $d>4$) along...

Let Y be an Enriques variety of complex dimension 2n − 2 with n ≥ 2. Assume that n = 2m for odd prime m. In this paper we show that Y is the quotient of a product of a Calabi-Yau manifold of dimension 2m and an irreducible holomorphic symplectic manifold of dimension 2m − 2 by an automorphism of order n acting freely. We also show that both Y and its universal cover are always projective.

In 5 studies (total N = 1357) conducted online using Amazon's MTurk the relationship between socioeconomic status (SES) and the better-than-average effect (BTAE) was tested. Across the studies subjective measures of SES were positively correlated with magnitude of BTAE. Effects of objective measures (income and education) were weaker and less consistent. Measures of childhood SES (both objectiv...

Let F be a number field, and let OF denote the ring of integers in F . Let A be a finite-dimensional central simple F-algebra, and let be an OF -order in A. In this paper it is shown that the p-torsion of the even dimensional higher class group Cl2n( ) can only occur for primes p, which lie under prime ideals p, at which p is not maximal, or which divide the dimension of A.

This paper presents discrete Galerkin method for obtaining the numerical solution of higher even-order integro-differential equations with variable coefficients. We use the generalized Jacobi polynomials with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. Numerical results are presented to demonstrate the effectiven...

A systematic method of designing TSC checker for Q class (even code length) of Borden’s code [l] is proposed, where a modular approach is used. In a comparative study, it is found that the proposed method is much better than [2,3] and it has a larger capability than [4,5] in designing the checker. For instance, the 3/12 code in C(12,2) can be identified in one of four ways, corresponding to PT’...

Let $n>m$, and let $A$ be an $(m\times n)$-matrix of full rank. Then obviously the estimate $\|Ax\|\leq\|A\|\|x\|$ holds for euclidean norm $x$ $Ax$ spectral as assigned matrix norm. We study sets all which, fixed $\delta<1$, conversely $\|Ax\|\geq\delta\,\|A\|\|x\|$ holds. It turns out that these fill, in high-dimensional case, almost complete space once $\delta$ falls below a bound depends on...