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Holographic Entropy Bound in Two-Dimensional Gravity
Author(s) -
Masafumi Fukuma,
Akihiro Miwa,
Kazufumi Takahashi
Publication year - 2003
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.110.115
Subject(s) - physics , entropy (arrow of time) , mathematical physics , upper and lower bounds , holography , stress–energy tensor , energy condition , gravitation , theoretical physics , classical mechanics , quantum mechanics , exact solutions in general relativity , mathematical analysis , general relativity , mathematics
Bousso's entropy bound for two-dimensional gravity is investigated in the lightcone gauge. It is shown that due to the Weyl anomaly, the null component of the energy-momentum tensor takes a nonvanishing value, and thus, combined with the conditions that were recently proposed by Bousso, Flanagan and Marolf, a holographic entropy bound similar to Bousso's is expected to hold in two dimensions. A connection of our result to that of Strominger and Thompson is also discussed

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