Exact path integral for 3D higher spin gravity

Norihiro Iizuka, Seiji Terashima, Masazumi Honda, Akinori Tanaka

doi:10.48550/arxiv.1511.07546

説明

Extending the works arXiv:1504.05991 and arXiv:1510.02142, we study three dimensional Euclidean higher spin gravity with negative cosmological constant. This theory can be formulated in terms of SL(N,C) Chern-Simons theory. By introducing auxiliary fields, we rewrite it in a supersymmetric way and compute its partition function exactly by using the localization method. We obtain a good expression for the partition function in terms of characters for the vacuum and primaries in 2D unitary CFT with W_N symmetry. We also check that the coefficients of the character expansion are positive integers and exhibit Cardy formula in the large central charge limit.

8 pages, 1 figure. v2: discussion on introducing higher-spin-charge chemical potential added

収録刊行物

Physical Review D

Physical Review D 95 2017-02-28

American Physical Society (APS)

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詳細情報詳細情報について

CRID: 1870020692988600960

DOI: 10.1103/physrevd.95.046016; 10.48550/arxiv.1511.07546

ISSN: 24700029; 24700010

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