One loop partition function for topologically massive higher spin gravity

被引:0
作者
Arjun Bagchi
Shailesh Lal
Arunabha Saha
Bindusar Sahoo
机构
[1] University of Edinburgh,School of Mathematics
[2] Harish-Chandra Research Institute,undefined
[3] ICTP,undefined
[4] High Energy,undefined
[5] Cosmology and Astroparticle Physics,undefined
来源
Journal of High Energy Physics | / 2011卷
关键词
Gauge-gravity correspondence; AdS-CFT Correspondence; Conformal and W Symmetry;
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摘要
We calculate the one loop partition function for topologically massive higher spin gravity (TMHSG) for arbitrary spin by taking the spin-3 TMHSG action constructed in arXiv:1107.0915 and subsequently generalising it for an arbitrary spin. We find that the final result can be put into a product form which cannot be holomorphically factorised. This is consistent with the expectation of a logarithmic CFT dual for TMHSG with boundary conditions that retain all normalisable modes in the bulk.
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