Back to Search
Start Over
Exact Path Integral for 3D Higher Spin Gravity
- Source :
- Phys. Rev. D 95, 046016 (2017)
- Publication Year :
- 2015
-
Abstract
- 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.<br />Comment: 8 pages, 1 figure. v2: discussion on introducing higher-spin-charge chemical potential added
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 95, 046016 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1511.07546
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.95.046016