Recently it was conjectured that parallel branes at conical singularities are related to string/M theory on AdS×X where X is an Einstein manifold. In this paper we consider coincident M2 branes near a conifold singularity when M theory is compactified on AdS4×Q for Q = (SU(2)×SU(2)× SU(2))/(U(1)× U(1)) as a seven dimensional Sasaki-Einstein manifold. We argue that M theory on AdS4 × Q can be de...

For a complex finite-dimensional simple Lie algebra $\mathfrak{g}$, we introduce the notion of Q-datum, which generalizes Dynkin quiver with height function from viewpoint Weyl group combinatorics. Using this notion, develop unified theory describing twisted Auslander-Reiten quivers and adapted classes introduced in [O.-Suh, J. Algebra, 2019] an appropriate generalized Coxeter elements. As cons...

Abstract In the past few years, f ( Q ) theories have drawn a lot of research attention in replacing Einstein’s theory gravity successfully. The current study examines novel cosmological possibilities emerging from two specific classes models using parametrization form equation state (EoS) parameter as $$\omega \left( z\right) =-\frac{1}{1+3\beta 1+z\right) ^{3}}$$ <mml:math xmlns:mml="http://w...