Wheeler–DeWitt equation and AdS/CFT correspondence

Wheeler-DeWitt Equation in AdS/CFT Correspondence

We discuss a quantum extension of the holographic RG flow equation obtained previously from the classical Hamiltonian constraint in the bulk AdS supergravity. The WheelerDeWitt equation is proposed to generate the extended RG flow and to produce 1/N subleading corrections systematically. Our formulation in five dimensions is applied to the derivation of the Weyl anomaly of boundary N = 4 SU(N) ...

Friedmann Equation and Cardy Formula Correspondence in Brane Universes

We study the brane with arbitrary tension σ on the edge of various black holes with AdS asymptotics. We investigate Friedmann equations governing the motion of the brane universes and match the Friedmann equation to Cardy entropy formula. PACS number(s): 04.70.Dy, 98.80.Cq e-mail:[email protected] e-mail:[email protected] e-mail:[email protected]

Hodge–GUE correspondence and the discrete KdV equation

We prove the conjectural relationship recently proposed in [16] between certain special cubic Hodge integrals of the Gopakumar–Mariño–Vafa type [27, 36] and GUE correlators.

A Correspondence Principle for Simultaneous Equation Models Nov

Correspondence between probabilistic norms and fuzzy norms

In this paper, the connection between Menger probabilistic norms and H"{o}hle probabilistic norms is discussed. In addition, the correspondence between probabilistic norms and Wu-Fang fuzzy (semi-) norms is established. It is shown that a probabilistic norm (with triangular norm $min$) can generate a Wu-Fang fuzzy semi-norm and conversely, a Wu-Fang fuzzy norm can generate a probabilistic norm.