One loop partition function for Topologically Massive Higher Spin Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, latex, minor modifications, calculation for generic spins corrected. results qualitatively unchanged

Scientific paper

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.

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