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One loop partition function for Topologically Massive Higher Spin Gravity

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arxiv 1107.2063 v2 pith:5MXV4PRV submitted 2011-07-11 hep-th gr-qc

One loop partition function for Topologically Massive Higher Spin Gravity

classification hep-th gr-qc
keywords spingravityhighermassivetopologicallyarbitraryfunctionloop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

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  1. Minimal Massive Gravity Coupled to Higher Spins

    hep-th 2026-07 conditional novelty 6.0

    Minimal Massive Gravity is coupled to a finite sl(N) tower of higher-spin fields, giving a Stückelberg formulation, AdS2 x S1 hair solutions, and two massive modes (spin j and j-2) for each spin-j > 2 field.