A Grassmann path from AdS3 to flat space

Flat space physics from holography

We point out that aspects of quantum mechanics can be derived from the holographic principle, using only a perturbative limit of classical general relativity. In flat space, the covariant entropy bound reduces to the Bekenstein bound. The latter does not contain Newton’s constant and cannot operate via gravitational backreaction. Instead, it is protected by—and in this sense, predicts—the Heise...

Space Forms of Grassmann Manifolds

Path Integrals with Generalized Grassmann Variables

We construct path integral representations for the evolution operator of q-oscillators with root of unity values of q-parameter using BargmannFock representations with commuting and non-commuting variables, the differential calculi being q-deformed in both cases. For q = −1 we obtain a new form of Grassmann-like path integral. on leave of absence from Nuclear Physics Institute, Moscow State Uni...

Gravity on AdS3 and flat connections in the boundary CFT

We consider the CFT that arises from the D1-D5 system in the presence of a constant background gauge potential which couples to the R-charge of the theory: this potential effectively changes the periodicities of the fermions. By the AdS/CFT correspondence, the effect of this connnection should be obtained by finding a smooth solution to the vector field in AdS space which couples to the constan...

The universal phase space of AdS3 gravity

We describe what can be called the “universal” phase space of AdS3 gravity, in which the moduli spaces of globally hyperbolic AdS spacetimes with compact spatial sections, as well as the moduli spaces of multi-black-hole spacetimes are realized as submanifolds. The universal phase space is parametrized by two copies of the universal Teichmüller space T (1) and is obtained from the correspondenc...