One loop partition function for Topologically Massive Higher Spin Gravity
High Energy Physics - Theory
2013-01-14 v2 General Relativity and Quantum Cosmology
Abstract
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 factorized giving strong evidence that the topologically massive higher spin gravity is dual to a high spin extension of logarithmic CFT rather than a chiral one.
Cite
@article{arxiv.1107.2063,
title = {One loop partition function for Topologically Massive Higher Spin Gravity},
author = {Arjun Bagchi and Shailesh Lal and Arunabha Saha and Bindusar Sahoo},
journal= {arXiv preprint arXiv:1107.2063},
year = {2013}
}
Comments
16 pages, latex, minor modifications, calculation for generic spins corrected. results qualitatively unchanged