Holographic description of boundary gravitons in (3+1) dimensions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2019-01

AUTHORS

Seth K. Asante, Bianca Dittrich, Hal M. Haggard

ABSTRACT

Gravity is uniquely situated in between classical topological field theories and standard local field theories. This can be seen in the quasi-local nature of gravitational observables, but is nowhere more apparent than in gravity’s holographic formulation. Holography holds promise for simplifying computations in quantum gravity. While holographic descriptions of three-dimensional spacetimes and of spacetimes with a negative cosmological constant are well-developed, a complete boundary description of zero curvature, four-dimensional spacetime is not currently available. Building on previous work in three-dimensions, we provide a new route to four-dimensional holography and its boundary gravitons. Using Regge calculus linearized around a flat Euclidean background with the topology of a solid hyper-torus, we obtain the effective action for a dual boundary theory, which describes the dynamics of the boundary gravitons. Remarkably, in the continuum limit and at large radii this boundary theory is local and closely analogous to the corresponding result in three-dimensions. The boundary effective action has a degenerate kinetic term that leads to singularities in the one-loop partition function that are independent of the discretization. These results establish a rich boundary dynamics for four-dimensional flat holography. More... »

PAGES

144

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep01(2019)144

DOI

http://dx.doi.org/10.1007/jhep01(2019)144

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111511366


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