Chern-Simons theory on L(p,q) lens spaces and Localization

Abstract

Using localization technique, we calculate the partition function and the expectation value of Wilson loop operator in Chern-Simons theory on general lens spaces L(p,q)(including S2XS1). Our results are consistent with known results.

25 pages, v2: In S2XS1 case, monopole comtributations added. Appendix on monopole harmonics added. References added. Mistakes corrected

References in corpus (8)

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Cited by in corpus (25)

• 4d Index to 3d Index and 2d TQFT
• Seifert fibering operators in 3d $\mathcal{N}=2$ theories
• The large N limit of M2-branes on Lens spaces
• S^3/Z_n partition function and dualities
• Non-Abelian Localization for Supersymmetric Yang-Mills-Chern-Simons Theories on Seifert Manifold
• Chern-Simons Invariants from Ensemble Averages
• Factorization of S^3/Z_n partition function
• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Non-unitary TQFTs from 3D $\mathcal{N}=4$ rank 0 SCFTs
• Localization of 4d $\mathcal{N}=1$ theories on ${\mathbb{D}}^2\times {\mathbb{T}}^2$
• A 3d-3d appetizer
• Localization on round sphere revisited
• A review on SUSY gauge theories on $S^3$
• Superconformal index on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ and mirror symmetry
• Beta-ensembles for toric orbifold partition function
• Abelian 3d mirror symmetry on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ with $N_f=1$
• Localization and Non-Renormalization in Chern-Simons Theory
• Lens partition function, pentagon identity and star-triangle relation
• Lens space determinants
• Torus Knots in Lens Spaces & Topological Strings
• On Bailey pairs for $\mathcal{N}=2$ supersymmetric gauge theories on $S_b^3/{\mathbb{Z}}_r$
• Three Dimensional Topological Field Theories and Nahm Sum Formulas
• From $\mathcal{N}=4$ Super-Yang-Mills on ${\mathbb{RP}}^4$ to bosonic Yang-Mills on ${\mathbb{RP}}^2$
• Topological phase, spin Chern-Simons theory and level rank duality on lens space
• Anomalies and Holomorphy in Supersymmetric Chern-Simons-Matter Theories