Twistors and Holography

Details Twistors and Holography Twistors and Holography

2004-01-13

arxiv.org/abs/hep-th/0401094v2

Class.Quant.Grav. 21 (2004) 2333-2338

Physics

High Energy Physics

High Energy Physics - Theory

4 pages revtex, clarifying remarks have been added, this is the version published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/21/9/009

We extend Bousso's notion of a lightsheet - a surface where entropy can be defined in a way so that the entropy bound is satisfied - to more general surfaces. Intuitively these surfaces may be regarded as deformations of the Bousso choice; in general, these deformations will be timelike and so we refer to them as `timesheets'. We show that a timesheet corresponds to a section of a certain twistor bundle over a given spacelike two-surface B. We further argue that increasing the entropy flux through a given region corresponds to increasing the volume of certain regions in twistor space. We further argue that in twistor space, it might be possible to give a purely topological characterization of a lightsheet, at least for suitably simple spacetimes.

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